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501 

PRACTICAL  PROOFS 
OF 

CHEMICAL  LAWS 


VAUGHAN  CORNISH 

CUtnmr  uf 


(Culling 


y?  47220   


CHEMICAL  LAWS 


PRACTICAL  PROOFS 

OF 

CHEMICAL  LAWS 


A   COURSE   OF  EXPERIMENTS 
UPON   THE   COMBINING   PROPORTIONS  OF 
THE   CHEMICAL  ELEMENTS 


VAUGHAN  CORNISH,  M.Sc. 

ASSOCIATE    OF    THE    OWENS    COLLEGE,  MANCHESTER 


LONDON 

LONGMANS,    GREEN,    AND  CO. 

AND  NEW  YORK 
1895 

All   rights  reserved 


5b  i 


PREFACE 


These  experimental  proofs  (or  more  properly 
verifications)  of  quantitative  laws  were  undertaken 
by  pupils  after  the  qualitative  composition  of  the 
principal  substances  employed  had  been  carefully 
dealt  with  in  the  accompanying  lecture  course. 

Practical  Physics  went  on  side  by  side  with  the 
practical  chemistry  course. 

The  pupils  whose  results  are  quoted  in  the 
text  were  mostly  between  twelve  and  eighteen  years 
of  age.  A  book  of  results  was  kept  so  that  each 
pupil  could  compare  his  results  with  others  obtained 
under  similar  conditions. 

The  pupils  had  hour  at  a  time  in  the 
laboratory,  and  attended  twice  a  week. 


vi  Preface 

I  have  not  been  satisfied  with  quantitative 
experiments  unless  they  yield  good  results  in  the 
hands,  not  only  of  the  teacher  but  of  the  pupils. 
The  results  quoted  in  the  text  are  those  obtained 
by  the  pupils. 

I  am  not  aware  that  a  satisfactory  standard  as 
to  the  accuracy  required  for  such  experiments  has 
yet  been  laid  down.  Within  I  per  cent,  is  certainly 
sufficient,  but  the  standard  may  vary  to  some 
extent  according  to  the  nature  of  the  law  or 
problem  investigated. 

Perhaps  the  standard  is  best  determined  by 
historical  considerations,  for  the  history  of  a  science 
is  recapitulated  by  the  learner.  If  the  pupil  can 
verify  a  law  to  such  a  degree  of  approximation  as 
first  served  to  convince  the  scientific  world  of  its 
truth,  he  may  generally  be  satisfied  with  his  work. 
I  have  quoted  in  the  text  the  results  of  early 
historic  experiments  side  by  side  with  those  ob- 
tained by  pupils.  Although  in  these  early  experi- 
ments the  error  is  often  large,  yet  there  is  less 
difference  than  the  learner  may  have  supposed 


Preface  vii 

between  the  accuracy  of  the  first  approximations 
which  have  obtained  the  provisional  assent  of  the 
scientific  world  at  the  beginning  and  towards  the 
end  of  the  nineteenth  century,  respectively. 

As  far  as  possible  no  numerical  data,  wThether 
chemical  or  physical,  were  assumed.  The  density 
of  hydrogen  and  the  proportion  by  weight  in 
which  hydrogen  and  oxygen  combine  are  neither 
assumed  nor  determined  in  these  experimental 
verifications  of  the  Laws  of  Combining  Proportions. 
It  is  not  necessary  that  equivalent  weights  should 
be  referred  to  that  of  hydrogen,  and  the  experi- 
ments cannot  be  done  with  the  same  accuracy  as 
is  attainable  in  the  case  of  other  elements. 

The  use  of  atomic  and  molecular  formulae  is 
inadmissible  in  an  examination  of  the  facts  upon 
which  the  atomic  and  molecular  theory  is  based. 
Chemical  equations  and  formulae  have  therefore 
been  excluded. 

The  course  is,  I  believe,  suitable  for  first-year's 
students  at  colleges  as  well  as  for  the  upper  forms 
of  schools. 


viii  Preface 

I  have  to  acknowledge  valuable  suggestions 
received  from  other  chemists  while  this  course  was 
in  preparation.  My  thanks  are  due  more  particu- 
larly to  Dr.  J.  B.  Cohen,  of  the  Yorkshire  College, 
Leeds,  and  to  Mr.  G.  Stallard,  of  Rugby. 

VAUGHAN  CORNISH. 

August  1895. 


CONTENTS 


CHAPTER  I 

PAGE 

STATEMENT  OF  DALTON'S  ATOMIC  THEORY  AND 


OF  THE  LAWS    OF  COMBINING  PROPORTIONS  .  I 

CHAPTER  II 

THE  LAW  OF  CONSERVATION  OF  MASS 

Exercise  I. — The  Use  of  the  Balance  ....  6 
Exercise  IL — The  Complete  Synthesis  of  Silver  Sulphide  .  10 
Calculation  and  Statement  of  Results  .       .       .       .  .13 


Note  upon  early  'Experiments  relating  to  this  Law,  and  upon 

Stas'  Determinations       .       .       .       .       .  15 

CHAPTER  III 

THE  FIRST  PART  OF  THE  LAW  OF  DEFINITE 
AND  OF  CONSTANT  PROPORTIONS 


Deductions,  bearing  upon  this  Law,  from  Exercise  II.  .  .  17 
Exercise  III. — The  Determination  of  the  Proportion  by 
Weight  in  which  Silver  and  Chlorine  combine  when 
Chlorine  Gas  acts  upon  Silver  .  .  .  .  19 
Exercise  IV. — The  Determination  of  the  Proportion  by 
Weight  in  which  Silver  and  Chlorine  combine  when 
a  solution  of  Hydrochloric  Acid  acts  upon  a  solution  of 
Silver  Nitrate      ........  22 


X 


Contents 


Calculation  and  Statement  of  Results      .       .       .       .    .  24 

Note  upon  early  Experiments  relating  to  this  Law,  and  upon 

Stas'  Determinations    .       .       .       .       .       .  .25 

Exercise  IV.  (a). — The  Determination  of  the  Quantities  of 
Hydrogen  evolved  on  the  Solution  of  Zinc  in  Sulphuric 
Acid  and  in  Hydrochloric  Acid  respectively     .  28 

CHAPTER  IV 

THE  LAW  OF  EQUIVALENT  PROPORTIONS 

Scope  of  the  Experiments  in  this  Chapter     .        .        .  31 

Exercise  V. — The  Determination  of  the  combining  Pro- 
portions of  Silver  and  Bromine  by  the  action  of  Hydro- 
bromic  Acid  upon  Silver  Nitrate      .        .        .        .    .  32 

Exercise  VI. — The  Determination  of  the  Percentage  of  Silver 
in  Silver  Nitrate  by  the  reduction  of  Silver  Nitrate  in 
Hydrogen   .........  34 

Exercise  VII. — The  Preparation  of  a  Solution  of  Silver 
Nitrate  containing  a  known  Weight  of  Silver  per  Cubic 
Centimetre     .        .        .        .        .        .        .        .    .  35 

Exercise  VIII. — The  Determination  of  the  Proportion  in 
which  Potassium  and  Chlorine  are  combined  in  Potassium 
Chloride  38 

Exercise  IX. — The  Determination  of  the  Proportion  in  which 
Potassium  and  Bromine  are  combined  in  Potassium 
Bromide.       .       .       .       .       .       .       .  41 

Calculation  and  Statement  of  Results  obtained  in  Verification 

of  the  Law  of  Equivalent  Proportions   .        .        .  .41 

Note  upon  early  Experiments  relating  to  this  Law  and  upon 

Stas'  Work  43 


CHAPTER  V 

THE  SECOND  PART  OF  THE  LAW  OF  DEFINITE 
AND  OF  CONSTANT  PROPORTIONS 

Exercise  X. — The  Determination  of  the  constancy  of  the 
Proportion  between  the  Weights  of  Potassium  and  Chlo- 
rine in  Potassium  Chloride  and  in  Potassium  Chlorate    .  45 

Note  upon  Stas'  Determinations  relating  to  the  Second  Part  of 

the  Law  of  Definite  and  of  Constant  Proportions      .    .  48 


Contents 


XI 


CHAPTER  VI 

THE  LAW  OF  MULTIPLE  PROPORTIONS 

PAGE 

Verification   of  the   Law  by  Experiments  upon  the  two 

Chlorides  of  Copper  51 

Exercise  XI. — The  Preparation  of  the  two  Chlorides  of 

Copper  in  a  state  of  Purity      .       .       .       .  53 

Exercise  XII. —The  Determination  of  the  Copper  in  the  two 

Chlorides   .       .  -55 

Exercise  XIII. — The  Determination  of  the  Chlorine  in  the 

two  Chlorides  .........  56 

Calculation  and  Statement  of  Results  obtained  in  Verification 

of  the  Law  of  Multiple  Proportions       ....  62 

A  Second  Method,  alternative  to  that  contained  in  the  last 
three  Exercises,  for  Verifying  the  Law  of  Multiple 
Proportions     .........  64 

Exercise  XIV.  —The  Determination  of  the  Weights  of  Bro- 
mine contained  in  known  Weights  of  Mercurous  Bromide 
and  of  Mercuric  Bromide     ......  65 

Note  upon  early  Experiments  relating  to  the  Law,  and  upon 

Stas'  Criticism  of  these  Experiments        .        .  .  68 

CHAPTER  VII 

THE  LAW  OF  SIMPLE  VOLUMETRIC  PROPORTIONS 
IN  THE  CHEMICAL  REACTION  OF  GASES 

Upon  the  Molecules  of  Gases      ......  70 

Exercise  XV. — The  Determination  of  the  Volume  of  Nitrogen 

obtained  by  the  Decomposition  of  a  known  Volume  of 

Ammonia       .        .        .        .        .        .        .  ..72 

Calculation  and  Statement  of  Results  .       .       .       .  -77 

Note  upon  early  Experiments  relating  to  the  Law  of  Simple 

Volumetric  Proportions        ......  78 

Upon  the  Relation  of  the  (Physical)  Molecule  of  Nitrogen  Gas 

to  the  (Chemical)  Atom  of  the  Element  Nitrogen  .  .  79 
Upon  the  relative  Weights  of  the  Chemical  Atoms  .  .  .  81 
Upon  the  Choice  of  a  Unit  to  which  the  Weights  of  the 

Atoms  are  referred       .......  82 

Upon  Prout's  Hypothesis       .        .        .        .        .        .    .  84 


xii 


Contents 


CHAPTER  VIII 

EXERCISES  SUPPLEMENTARY  TO  THE  COURSE  ILLUS- 
TRATING THE  SCOPE  OF  THE  TERM  EQUIVALENCE 
IN  CHEMISTRY 

l'AGE 

Upon  Diagrams  illustrating  Equivalence  .        .        .        .    .  86 

Supplementary  Exercise  I. — The  Determination  of  the 
Volume  of  Hydrogen  evolved  during  the  Solution  of  a 
known  Weight  of  Zinc  in  dilute  Sulphuric  Acid     .       .  87 

Supplementary  Exercise  II. — The  Determination  of  the 
Weight  of  Copper  deposited  and  of  the  Volume  of 
Hydrogen  evolved  during  the  Passage  of  an  Electric 
Current  through  a  Solution  of  Copper  Sulphate  and 
through  dilute  Sulphuric  Acid  .       .       .       .  88 

Supplementary  Exercise  III.  — The  Determination  of  the 
Proportion  by  Weight  in  which  Zinc  and  Oxygen  com- 
bine   ..........  90 

Supplementary  Exercise  IV. — The  Determination  of  the 
Proportion  by  Weight  in  which  Copper  and  Oxygen 
combine  .       .       .       .       .       .       .       .  91 

Supplementary  Exercise  V.— The  Determination  of  the 
Proportion  by  Weight  between  the  Zinc  dissolved  and 
the  Copper  deposited  when  Metallic  Zinc  is  placed  in  a 
Solution  of  Copper  wSalt,  the  Copper  Salt  being  in  excess  91 

Supplementary  Exercise  VI. — The  Determination  of  the 

Proportion  in  which  Hydrogen  and  Oxygen  combine     .  91 


Errata. 


Page  10  line  23  for  2  to  3  cm.  read  *2  to  *3  cm. 

35    ,,   28  ,,  50  cb.c.  500CD.C. 

42       30      55  p.  c.  -55  p.  c. 

,,    42    ,,  32  ,,  60  p.  c.  '60  p.  c. 

,,    73    ,,  28       hypobromide  ,,  hypobromite. 


PRACTICAL 

PROOFS  OF  CHEMICAL  LAWS 


CHAPTER  I 

STATEMENT  OF  DALTON'S  ATOMIC  THEORY  AND 
OF  THE  LAWS  OF  COMBINING  PROPORTIONS 

DALTON'S  atomic  theory  of  chemical  action  may 
be  stated  as  follows  : — 

When  a  chemical  action  takes  place,  what  we 
observe  on  the  large  scale  is  the  total  effect  of  a 
vast  number  of  similar  actions  occurring  between 
ultimate  particles,  or  atoms,  of  the  substances.  The 
atom  of  each  chemical  element  has  its  own  specific 
mass.  These  chemical  atoms  are  beyond  our 
powers  of  vision,  and  we  have  no  means  of  dealing 
with  them  individually.  Dalton's  theory  remains 
therefore  a  theory  only,  and  has  not  been  raised  to 
the  rank  of  a  statement  of  observed  facts.  The 
theory  is,  however,  based  upon  observed  facts 
ascertained  by  experiment. 

B 


Practical  Proofs  of 


The  laws  of  chemical  combination  by  weight 
are  the  experimental  basis  of  Dalton's  theory. 

The  later  discovery,  by  Gay-Lussac,  of  the 
simple  ratios  between  the  reacting  volumes  of  gases 
(the  'Laws  of  Combination  by  Volume')  led  to 
the  development  of  the  atomic  theory  in  its  present 
form,  in  which  we  suppose  the  existence  of  two 
orders  of  particles,  the  molecule  and  the  chemical 
atom.  The  modern  development  of  theoretical 
chemistry  is  due  in  great  measure  to  the  theory  of 
atoms  and  molecules,  the  theory  itself  being  based, 
as  has  been  said,  upon  the  laws  of  combining  pro- 
portions, gravimetric  and  volumetric.  These  are 
both  included  in  the  term  Laws  of  combining 
proportions. 

The  methods  of  chemical  analysis  are  founded 
directly  upon  these  experimental  laws  and  upon 
the  law  of  conservation  of  mass,  the  results  ob- 
tained by  analysis  being  independent  of  the  atomic 
theory. 

These  laws  are  therefore  the  foundation  of  the 
greater  part  both  of  practical  and  of  theoretical 
chemistry. 

We  proceed  to  enunciate  the  laws  before  giving 
the  description  of  experiments  by  which  each  of 
them  may  be  verified. 

i.  The  Law  of  Conservation  of  Mass. — 
The  law,  in  its  bearing  upon  chemistry,  may  be 
stated  in  a  general  form  as  follows  : — 

'  The  total  mass  of  the  substances  taking  part  in 
any  chemical  process  remains  constant'  (Ostzva/d). 


Chemical  Laws 


We  will  for  the  purpose  of  this  course  state  the 
law  in  a  less  general  form,  in  which  it  can  be  readily 
verified,  as  follows  : — 

When  elements  combine  together  chemically,  the 
mass  of  the  compound  formed  is  equal  to  the  sum  of 
the  masses  of  the  elements  before  combination. —  As 
mass  is  almost  always  measured  by  weighing  we 
shall  substitute  the  more  familiar  term  weight  in 
the  following  statements  of  laws. 

2.  The  Law  of  Definite  and  of  Constant 
Proportions.  Part  I,  {definite  proportions). — 
When  tzvo  elements  combine  to  form  a  particular 
compound  substance,  they  do  so  in  a  definite,  fixed 
proportion  by  weight,  zvhich  is  independent  of  the 
manner  in  zvhich  tlieir  combination  zs  brought  about ; 
and  PART  II.  {constant  proportions).  This  proportion 
remains  constant  in  compounds  zvhich  contain  also 
other  elements. 

3.  The  Law  of  Equivalent  Proportions. 
The  zveights  of  tzvo  elements  zvhich  are  equivalent 
(i.e.  of  equal  value)  in  any  chemical  reaction  are 
equivalent  in  all 

The  meaning  of  this  general  statement  of  the 
law  may  be  illustrated  by  special  statements  ap- 
plicable to  particular  cases  which  require  different 
experimental  methods  for  their  verification. 

First  special  statement  (applicable  to  the  case 
of  elements  each  of  which  is  capable  of  combining 
with  each  of  the  others,  e.g.  silver,  chlorine,  and 
sulphur) : 

The  zveights  of  tzvo  elements  (e.g.  sulphur  and 

B  2 


4 


Practical  Proofs  of 


chlorine)  which  combine  zvith  a  certain  fixed  weight 
of  a  third  element  (e.g.  silver)  are  in  the  proportion 
in  which  those  two  elements  (sulphur  and  chlorine) 
combine  zvith  one  another. — These  weights  of  sul- 
phur and  chlorine  are  said  to  be  equivalent  to  one 
another. 

Second  special  statement  (applicable  to  the  case 
of  elements,  some  of  which  do  not  combine 
together,  e.g.  silver,  potassium,  chlorine  and 
bromine)  : 

The  weights  of  two  elements  (e.g.  silver  and 
potassium)  which  combine  with  a  given  zveight  of  a 
third  element  (e.g.  chlorine)  zvill  also  combine  zvith 
another  fixed  zveight  of  a  fourth  element  (e.g. 
bromine). — The  experimental  verification  of  this 
statement  of  the  law  is  given  in  Chapter  IV. 

4.  The  Law  of  Multiple  Proportions. — 
It  sometimes  happens  that  there  are  two  (or  more) 
different  substances  formed  from  the  same  elements. 
By  different  substances  we  mean  materials  which 
differ  in  a  marked  degree  in  their  physical  characters 
(e.g.  in  density,  boiling  point,  melting  point,  and 
so  forth).  To  such  cases  the  law  of  multiple  pro- 
portions applies.  To  simplify  the  wording  of  the 
law,  we  will  frame  a  statement  suited  to  the  case 
of  substances  containing  only  two  elements. 

Statement  of  the  Lazv  of  Multiple  Proportions. — 
If  there  be  more  than  one  substance  formed  by  the 
combination  of  two  elements \  then,  taking  the  zveight 
of  one  element  as  fixed  in  each  substance,  the  zveight 
of  the  other  element  in  the  second  compound  bears  a 


Chemical  Laws 


5 


simple  proportion  to  the  weight  of  that  element  in  the 
first. — When  the  student  has  fully  grasped  the 
meaning  of  the  word  equivalence  in  chemistry, 
which  is  generally  not  until  he  has  had  some  ex- 
perience of  experimental  work,  he  will  find  the 
following  statement  useful  as  a  summary  of  all  the 
laws  of  chemical  combination  by  weight : 

Elements  combine  together  in  the  proportion  [or 
ratio)  of  their  equivalent  weights  >  or  in  the  propor- 
tion of '  ivhole  multiples  of  their  equivalent  weights. 

5.  The  Volumetric  Law  of  Combination 
OF  Gases  may  be  stated  thus  : —  The  volume  of 
an  element  in  the  gaseous  state  bears  a  simple  pro- 
portion to  t)oe  volume  of  the  compound  gas  of  zvhich 
it  is  a  constituent. 


6 


Practical  Proofs  of 


CHAPTER  II 

THE  LAW  OF  CONSERVATION  OF  MASS 

Statement. —  When  elements  combine  together 
chemically  the  mass  of  the  compounds  formed  is 
equal  to  the  sum  of  the  masses  of  the  elements 
before  combination. 

Mass  is  the  one  property  of  matter  which  re- 
mains absolutely  constant  in  every  state  of  chemical 
combination.  The  Balance  is  the  instrument 
employed  in  the  comparison  of  masses,  and  a 
knowledge  of  the  systematic  method  of  weighing 
must  be  acquired  before  undertaking  quantitative 
chemical  experiments. 

Exercise  I. —  The  Use  of  the  Balance. 

Apparatus  required. — A  chemical  balance,  the 
pointer  of  which  will  move  one  division  on  the 
scale  when  I  mgrm.  is  placed  on  the  empty  pan, 
and  which  will  bear  a  load  of  50  grams  on  each 
pan.  Becker's  50^.  balance  fulfils  these  conditions. 
A  set  of  weights  from  50  grams  to  1  mgrm.  It  is 
well  that  each  pupil  should  have  a  set  of  fractions 
of  a  centigram.  These  can  be  obtained,  in 
platinum,  for  about  2s. 


Chemical  Laws 


7 


Determination  of  the  Zero  point. — Raise  the 
beam  of  the  balance  from  its  support  by  turning 
the  knob  which  is  on  the  front  of  the  balance 
case.  The  beam  now  swings  freely.  The  balance 
is  adjusted  by  the  instructor,  not  by  the  pupil,  so  that 
the  pointer  swings  nearly  evenly  on  either  side  of 
the  central  line  on  the  ivory  scale.  It  is  required 
to  determine  exactly  the  point  on  the  scale  which 
marks  the  position  of  equilibrium,  or  the  Zero 
point  of  the  balance.  This  is  best  done,  not  by 
waiting  for  the  pointer  to  come  to  rest,  but  by 
observing  the  swings  on  either  side  of  the  central 
point.  The  amplitude  of  the  swings  steadily 
diminishes  owing  to  friction.  Thus  taking  10  as 
the  value  of  each  division,  calling  the  central  point 
100,  and  reckoning  through  from  left  to  right,  we 
may  observe  the  following  extreme  positions  of 
the  pointer  : 

Left  hand  Right  hand 

•  85 

IIO 

the  parts  of  a  division  being  estimated  by  eye. 
Now  85  is  further  from  the  Zero  point  and  87  is 
nearer  to  the  Zero  point  than   no.    We  may 
8  K  4"  87 

assume  that   ^    —1=86  is  as  far  on  the  left  of 
2 

the  Zero  point  as  no  is  on  the  right.  The  Zero 
point  is  found  by  taking  the  mean  of  the  two 
numbers  86  and  1 10  ;  thus  : 

86    +     I  IO  o     ,rj  .  .v 

 =  98  (Zero  point) 


s 


Practical  Proofs  of 


Determination  of  Sensibility. — In  weighing  a 
body  it  will  generally  be  found  after  adjusting  the 
weights  as  nearly  as  possible  that  the  pointer 
swings  nearly,  but  not  quite,  evenly  about  the 
Zero  point.  The  weights  being  placed  on  the 
right-hand  pan,  and  the  body  to  be  weighed  on 
the  left-hand  pan,  then  if  the  Zero-point  is  98  and 
the  pointer  is  found  to  swing  evenly  about  the 
position  90,  it  is  evident  that  the  weights  are  some- 
what too  heavy.  We  require  to  know  what  extra 
weight  in  one  pan  produces  a  deflexion  of  8,  i.e. 
yo-ths  of  a  division.  To  determine  the  sensibility 
with  empty  pans,  place  one  milligram  on  the  right- 
hand  pan  and  observe  three  or  five  swings. 
Suppose  these  to  be 

Right  hand  Left  hand 

126 

52 

122 

the  balancing-point  is  evidently 
I24  +  5j  =  88 

2 

The  Zero  point  being  98,  the  sensibility  with  a 
very  small  load  is  10.  Thus,  in  the  example  given, 
if  the  weight  of  the  body  was  small  (say  5  grams) 
we  conclude  that  the  weights  on  right-hand  pan 
were  too  heavy  by  T8Q-ths  of  a  milligram.  The  true 
weight  of  the  body  is  therefore  obtained  by  deduct- 
ing *ooo8  gram  from  the  amount  of  the  weights  on 
the  right-hand  pan. 


Chemical  Laws 


9 


To  determine  the  sensibility  with  a  load  of  20 
grams  in  each  pan. — The  sensibility  generally  de- 
creases with  heavier  loads.  In  the  experiments 
given  in  this  course  the  loads  are  generally  either 
small  (less  than  5  grams)  or  about  20  to  25  grams  in 
each  pan — e.g.  in  weighing  porcelain  crucibles. 
To  determine  the  sensibility  in  this  second  case, 
place  a  20-gram  weight  in  each  pan  and  determine 
the  balancing-point.  This  may  not  be  exactly  the 
Zero  point,  since  the  two  weights  may  not  be 
exactly  equal.  Suppose  the  balancing-point  to  be 
96.  Place  *ooi  gram  (1  milligram)  on  the  right- 
hand  pan  and  again  determine  the  balancing-point. 
Suppose  this  to  be  88.  The  sensibility  with  a  load 
of  20  grams  in  each  pan  is  8. 

Record  of  the  results  of  the  exercise. — The 
observations  of  swings  and  the  results  for  sensi- 
bility are  to  be  clearly  stated  in  the  pupil's  note- 
book. They  should  be  taken  down  in  the  first 
place  in  a  small  pocket  note-book,  in  which  all 
weighings,  as  well  as  observations  made  during 
the  actual  progress  of  experiments,  should  be 
entered  at  the  time,  to  be  copied  out  afterwards 
in  a  larger  note-book.  Weighings  should  on  no 
account  be  entered  on  loose  sheets  of  paper ;  the 
results  of  experiments  are  often  lost  in  this  manner. 


IO 


Practical  Proofs  of 


EXERCISE  II. —  Verification  of  the  Laiv  of  Conser- 
vation of  Mass  by  the  complete  synthesis  of 
silver  sulphide. 

This  experiment  shows  that  when  silver  and 
sulphur  are  heated  together,  they  combine  chemi- 
cally, producing  a  new  substance  (silver  sulphide), 
and  that  the  weight  of  the  silver  sulphide  formed  is 
equal  to  the  sum  of  the  weights  of  the  silver  and 
sulphur  from  which  it  zvas  produced. 

Apparatus  and  substances  required. — Fine  silver 
wire  on  a  reel — that  used  in  surgery  is  the  best. 
Re-sublimed  sulphur,  as  obtained  from  the  dealers, 
but  freed  from  moisture  by  being  kept  on  a  clock 
glass  in  a  desiccator  over  strong  sulphuric  acid. 
The  clock-glass  must  be  replaced  in  a  desiccator 
when  a  portion  of  the  sulphur  has  been  taken  out 
for  the  experiment.  Glass  tubing  of  soft  glass, 
not  combustion  tubing  ;  the  most  convenient  width 
of  bore  is  i  to  rj  cm.  It  should  be  sealed  up  at 
one  end  and  be  of  a  length  not  less  than  1 6  to  20  cm. 
A  cork  to  fit  this  tube,  through  which  passes, 
somewhat  loosely,  a  piece  of  glass  tubing  about 
2  to  3  cm.  diameter.  Carbonic  acid  apparatus.  Foot- 
blowpipe  and  bellows.  An  oven  or  gas-furnace  in 
which  a  tube  of  about  10  cm.  length  can  be  placed 
and  heated  to  about  5000  C.  In  default  of  this, 
the  tube  may  be  covered  with  sand  and  heated  on 
a  sand-tray.  Weighing- tube ,  zvatch-glass,  glazed 
paper,  camel-hair  brush  or,  better,  a  stiff  feather, 
carbon  bisulphide,  sliarp  three-cornered  file,  scissors. 


Chemical  Laws 


Method  of  conducting  the  experiment. — Make 
the  glass  tube  thoroughly  dry  by  moving  it  from 
side  to  side  and  rotating  in  a  luminous  gas  flame, 
at  the  same  time  blowing  air  through  from  the 
bellows.  Measure  off  a  length  of  the  silver  wire 
which  has  been  found  to  weigh  about  one  gram. 
Cut  this  up  with  scissors  into  short  pieces,  about 
•5  cm.  length,  and  weigh  accurately.  This  sub- 
stance may  be  weighed  on  the  bare  pan  of  the 
balance.  Transfer  the  silver  wire  to  the  tube.  We 
now  have  to  weigh  out  about  enough  sulphur  to 
combine  with  the  whole  of  the  silver.  For  1  gram 
silver  take  *i  5  to  -20  grams  sulphur.  The  quantity 
taken  must  be  accurately  weighed.  The  sulphur  may 
be  placed  in  a  small  stoppered  weighing  tube  which 
must  be  dry.  This  is  weighed  with  its  contents, 
and  the  sulphur  is  then  shaken  out  carefully,  little 
by  littie,  into  the  tube  which  contains  the  silver. 
Should  any  sulphur  fall  outside  the  tube  it  is 
received  on  the  glazed  paper  and  can  be  brushed 
into  the  tube.  If  the  tube  has  not  been  properly 
dried  the  sulphur  will  adhere  to  the  sides.  The 
weighing-tube  which  contained  the  sulphur  is 
corked  and  weighed  again,  the  difference  of  the 
two  weighings  being  the  weight  of  sulphur  taken. 

If  the  tube  were  sealed  up  while  containing  air 
some  of  the  sulphur  would  burn  on  heating.  In 
order  to  avoid  this  complication  the  air  is  displaced 
by  carbonic  acid  before  sealing.  The  gas  is  passed 
in  through  the  narrow  glass  tube  carrying  the  cork, 
the  cork  of  course  not  being  fitted  into  the  wider 


I  2 


Practical  Proofs  of 


tube.  The  current  of  gas  is  turned  on  slowly  in 
order  to  avoid  the  risk  of  scattering  the  sulphur 
over  the  sides  of  the  tube.  The  tube  is  full  of 
carbonic  acid  when  a  taper  is  extinguished  at  its 
mouth.  Now  stop  the  current  of  carbonic  acid 
and  fit  in  the  cork  ;  draw  the  narrow  tube  through 
the  cork  so  that  it  projects  not  more  than  I  to  2  cm. 
into  the  wider  tube.  The  wider  tube  must  now  be 
sealed  up.  In  the  operation  of  sealing,  begin  by- 
warming  the  tube  above  the  luminous  flame  of  the 
blow-pipe  ;  then  bring  it  into  the  luminous  flame, 
keeping  it  constantly  turned.  When  the  tube  is 
covered  with  soot  the  blast  may  be  put  on,  but 
very  gently  at  first.  When  the  tube  softens  draw 
it  out  slightly,  then  lower  the  flame  and  heat 
strongly,  rotating  the  tube  during  the  operation,  so 
that  the  sides  fall  together.  When  this  has  taken 
place  cool  slowly  in  the  luminous  flame  until  the 
tube  is  again  coated  with  soot.  If  the  pupil  has 
no  previous  practice  in  glass-working  this  part  of 
the  exercise  should  be  rehearsed  with  an  empty 
tube  to  master  the  manipulation.  This  practice  of 
rehearsing  may  with  advantage  be  adopted  when- 
ever a  quantitative  experiment  involves  a  new 
piece  of  manipulation.  Everything  is  now  ready 
for  bringing  about  chemical  combination  by 
heating.  The  method  of  doing  this  has  already 
been  described.  The  time  for  completing  the 
reaction  depends  partly  upon  the  thickness  of  the 
wire.  It  is  best  to  arrange  matters  so  that  the 
weighings  and  sealing  are  completed  at  the  end  of 


Chemical  Laws 


13 


a  lesson,  so  that  the  heating  of  the  tube  may  be 
left  to  go  on  for  a  few  hours  in  order  to  ensure 
completion.  The  remaining  determinations  can  be 
done  in  the  next  lesson. 

After  heating,  it  is  found  that  the  silver  and 
sulphur  have  been  converted  into  the  black,  shining 
crystalline  silver  sulphide.    If  an  excess  of  sulphur 
was  taken  this  will  be  found  collected  on  the  part 
of  the  tube  which  was  coolest.    We  now  have  to 
weigh  the  silver  sulphide  and  the  excess,  if  any,  of 
sulphur.    With  a  sharp  file  make  a  deep  transverse 
cut  at  the  middle  of  the  tube.    Touch  this  with  a 
fine  point  of  glass  which  has  been  heated  till  quite 
soft  in  the  blow-pipe  flame.    In  this  way  the  tube 
may  be  readily  cut  into  halves.    The  sulphide  is 
readily  detached  from  the  tube  and  is  brought  on 
to  a  weighed  watch-glass  and  weighed.    The  tube 
must  be  carefully  brushed  out,  the  watch-glass  being 
placed  on  the  sheet  of  glazed  paper.    The  accuracy 
of  the  results  obtained  in  this  experiment  depends 
upon  the  attention  given  to  the  details  of  manipu- 
lation, the  chemical  part  of  the  experiment  not 
presenting  any  difficulty.    If  there  is  any  excess 
of  sulphur,  weigh  the  pieces  of  glass  to  which  the 
sulphur  adheres,    dissolve   off  the  sulphur  with 
carbon  bi-sulphide,  in  a  draught  chamber,  and 
weigh  again.    The  difference  gives  the  weight  of 
the  sulphur. 

Calculation  and  statement  of  results. — Examples 
are  given  from  the  results  obtained  by  two  pupils. 
The  weights  are  in  grams. 


14  Practical  Proofs  of 

The  first  pupil  found 

Before  heating  After  heating 
Silver      .        .  '8301 

Sulphur  .       .     '1233  (no  excess  of  sulphur) 

Sum       .       .     *9534  Sulphide        .  -9531 

The  weight  of  the  sulphide  is  found  to  be  less 
than  that  of  the  elements  from  which  it  was  formed 
by  3  parts  in  9534.  Regarding  the  exercise  as 
intended  to  verify  a  law  believed  to  be  mathe- 
matically exact,  we  may  say  that  this  represents 
the  experimental  error.  This  should  always  be 
expressed  as  a  percentage.  To  find  the  percentage 
in  the  above  case  divide  3  by  9534  and  multiply 
by  100.  The  result  is,  very  nearly,  '03.  It  must 
be  written  with  the  minus  sign,  since  the  weight  of 
the  compound  formed  is  found  to  be  less  than  it 
should  be  ;  therefore  we  write 

Experimental  error  —'03  per  cent. 
The  second  pupil  found 

Before  heating  After  hea  ing 

Silver        .       .       .1  *oooo 

Sulphur  taken    .        .    '2963  Excess  sulphur  .  '1476 

Excess  sulphur  left     .     '1476  Sulphide    .        .  1*1476 

Therefore  sulphur  used 

in  combination        .  '1487 

Sum  of  weights  of  elements  before  combination      .  1*1487 
Weight  of  compound  formed  .....  1*1476 

Difference     ........  *oon 

Therefore  experimental  error  .....  —  *iop.  c. 


The  average  error  of  thirteen  experiments 
recorded  by  ten  pupils  was  -5  per  -cent.    One  of 


Chemical  Laws 


15 


the  experiments  exceeded  2  per  cent,  in  error,  and 
another  exceeded  1  per  cent.  In  no  case  was  the 
error  +tive,  i.e.  the  weight  of  the  compound  was 
never  found  to  be  greater  than  the  sum  of  the 
weights  of  its  constituents. 

Note  upon  early  experiments  relating  to  the  Law 
of  Conservation  of  Massy  and  upon  St  as  determi- 
nations.— W.  Black  ('  Experiments  upon  Magnesia 
Alba/  published  1782,  pp.  66-68)  converted  120 
grains  of  chalk,  by  heating,  into  quicklime,  of 
which  68  grains  were  left.  The  lime  was  thrown 
into  a  solution  of  carbonate  of  soda,  by  which 
means  chalk  was  again  formed,  which  weighed  1 18 
grains.  The  final  weight  was,  therefore,  found  to 
be  less  than  the  original  weight  by  2  parts  in 
1 20:  experimental  error  —  r6  per  cent. 

Lavoisier  ('  Elements  of  Chemistry,'  translated 
by  Dr.  Kerr,  published  1792)  decomposed  mercuric 
oxide  by  heat,  weighed  the  mercury  obtained,  and 
measured  the  volume  of  oxygen.  He  also  deter- 
mined the  density  of  oxygen.  The  experimental 
error  appears  to  have  been  about  —  1  per  cent, 
but  the  statement  of  results  leaves  some  uncertainty. 
Lavoisier  stated  (loc.  eit.)  the  law  of  conservation 
of  mass  in  connection  with  his  experiments  upon 
the  fermentation  of  sugar  in  presence  of  water 
and  yeast.  He  found  that  the  weight  of  the 
products  formed  was  equal  to  the  weight  of  the 
substances  decomposed.  The  numbers  given  are 
apparently  not  those  actually  determined,  but 
rather  what  he  considered  they  ought  to  have  been 


1 6  Practical  Proofs  of 


if  experimental  error  were  eliminated.  The  num- 
bers, therefore,  are  not  available  for  calculating  the 
approach  to  accuracy  attained  in  the  experiment. 

For  modern  work  upon  this  law,  see  Stas' 
*  Nouvelles  Recherches  sur  les  Lois  des  Proportions 
Chimiques/  experiments  upon  the  complete  syn- 
thesis of  silver  iodide,  and  complete  analysis  of 
silver  iodate,  which  confirmed  the  law  within  a  very 
small  margin  of  experimental  error. 


Chemical  Laws 


17 


CHAPTER  III 

THE  LAW  OF  DEFINITE  PROPORTIONS 

Statement  of  the  Law. —  When  two  elements 
combine  to  form  a  particular  compound  substance , 
they  do  so  in  a  definite ,  fixed proportion  by  zv  eighty 
which  is  independent  of  the  manner  in  which  their 
combination  is  brought  about. 

THIS  is  the  first  part  of  the  law  of  definite  and 
of  constant  proportions  ;  for  the  second  part^  see 
Chapter  V. 

The  significance  of  this  law  lies  in  the  persis- 
tence with  which  elements  adhere  to  certain  pro- 
portions of  combination  in  spite  of  variation  in  the 
conditions  under  which  combination  occurs.  The 
conditions  of  combination  may  vary  in  the  follow- 
ing respects  : — 

1.  Relative  masses  of  the  reacting  substances. 

2.  Pressure  under  which  the  reaction  occurs. 

3.  Temperature  at  which  the  reaction  occurs. 

4.  Chemical  composition  of  the  substances  by 
the  reaction  of  which  the  combination  is  brought 
about. 

The  fact  that  the  combining  proportion  does 
not  depend  upon  the  relative  masses  present  may 

C 


iS 


Practical  Proofs  of 


be  verified  by  a  comparison  of  the  results  obtained 
by  different  pupils  in  the  last  exercise.  Thus, 
taking  the  two  examples  already  quoted  : — 

Relative  masses  taken  Combining  proportion 

First  pupil  .  Sulphur  I  :  Silver  6732  Sulphur  1  Silver  6732 
Second  pupil  .  I  :      „    3-333  „      1     „  6777 

the  difference  between  the  combining  proportions 
obtained  by  the  two  pupils  is  '66  per  cent.,  the 
combining  proportions  being  constant  within  '66 
per  cent,  when  the  proportion  between  the  sub- 
stances taken  was  varied  from  2  to  1. 

The  second  condition  (variation  in  pressure)  is 
tested  to  some  extent  by  the  same  experiment, 
since  the  pressure  in  the  tube  depends,  other  things 
being  equal,  on  the  excess  of  sulphur  present. 

The  third  and  fourth  variations  of  condition 
(viz.  of  temperature,  and  of  the  chemical  composi- 
tion of  the  reacting  substances)  are  tested  by  the 
following  experiments  upon  the  proportion  by 
weight  in  which  silver  and  chlorine  combine 
together.  The  last  (fourth)  mode  of  varying  the 
conditions  is  especially  important  as  showing  that 
the  combining  proportions  are  independent  not 
only  of  physical  but  also  of  chemical  conditions. 

In  the  first  experiment  (Exercise  III.),  the  ele- 
mentary gas  chlorine  acts  on  metallic  silver  at  a 
temperature  of  about  4000  C.  to  5000  C.  In  the 
second  experiment  (Exercise  IV.)  the  combination 
of  the  two  elements,  chlorine  and  silver,  is  brought 
about  by  the  action  of  a  solution  of  hydrochloric 
acid  upon  silver  nitrate  at  a  temperature  rather 


Chemical  Laws 


19 


below  ioo°C.  Exercises  III.  and  IV.  may  be 
worked  side  by  side.  Such  an  arrangement  as  the 
following  will  save  time.  Weigh  out  the  materials 
and  start  the  evaporation  in  Exercise  IV.  While 
this  is  going  on,  weigh  out  for  Exercise  III.  and 
start  the  heating  in  chlorine.  Then  return  to 
Exercise  IV.,  which  can  be  finished.  The  chlorina- 
tion  in  Exercise  III.  is,  if  possible,  left  going  for 
some  hours,  the  weighing  and  calculation  being 
postponed  till  the  next  lesson. 

EXERCISE  III. — Determination  of  the  proportion  in 
zvhich  silver  and  chlorine  combine  zvhen  chlorine 
gas  acts  upon  metallic  silver. 

The  following  are  the  apparatus  and  substances 
required,  and  the  method  of  conducting  the  experiment. 
Precipitated  silver  is  used,  not  less  than  *5  gram. 
The  heating  arrangement  to  be  adopted  will  depend 
partly  upon  the  equipment  of  the  laboratory.  Two 
sources  of  error  must  be  provided  against : — First, 
portions  of  silver  may  become  surrounded  by  fused 
chloride,  and  thus  be  kept  from  the  action  of  the 
gas.  To  avoid  this  as  much  as  possible,  the  metal 
should  present  a  large  surface,  the  stream  of  gas 
should  be  slow,  and  the  temperature  should  be 
regulated  so  that  the  chloride  only  just  fuses. 
Secondly,  chlorine  gas  is  absorbed  by  the  fused 
chloride,  and  on  cooling  the  escape  of  the  gas  is 
apt  to  cause  spirting.  This  is  to  some  extent 
guarded  against  by  the  precautions  already  men- 


20 


Practical  Proofs  of 


tioned,  and  also  by  cooling  slowly  at  the  end  of 
the  operation.  In  order  to  ensure  that  no  loss 
should  take  place  even  if  spirting  did  occur,  either 
of  the  following  arrangements  will  do.  First 
arrangement  of  apparatus : — The  silver  and  the 
resulting  chloride  are  weighed  in  a  glass  tube, 
closed  at  one  end,  provided  with  a  loose  plug  of 
glass  wool  about  half-way  up,  and  fitted  with  a 
two-way  stopper,  the  chlorine  entering  through  one 
tube,  and  the  excess  of  the  gas  passing  out  of  the 
other  tube  to  the  draught.  The  closed  end  of  the 
tube  where  the  charge  of  silver  lies  can  be  heated 
by  means  of  a  Bunsen  burner.  This  arrangement 
can  only  be  adopted  conveniently  if  the  balance  is 
capable  of  taking  a  tube  of  the  necessary  length. 
Second  arrangement  of  apparatus  : — If  a  short  com- 
bustion furnace  be  available,  the  silver  may  be 
weighed  in  a  porcelain  boat,  which  is  placed  inside 
a  glass  tube  lying  in  the  bed  of  the  furnace.  If 
any  spirting  take  place  the  particles  of  chloride 
may  be  detached  from  the  glass  tube  and  returned 
to  the  boat  after  the  operation  is  at  an  end.  The 
exit  end  of  the  tube  is  connected  to  the  draught. 

The  clilorine  apparatus  should  supply  a  regular 
stream  of  the  gas  for  some  hours  without  requiring 
attention.  It  should  hot  require  replenishing 
during  use  ;  in  fact,  it  should  be  of  such  a  form 
that  it  needs  replenishing  only  at  long  intervals. 
The  Kipp  apparatus,  with  balls  of  compressed 
bleaching  powder,  is  readily  set  working,  and  has 
the  advantage  of  not  requiring  heat.    It  has,  how- 


Chemical  Laws 


21 


ever,  the  disadvantage  that  when  left  standing  the 
joints  are  subjected  to  pressure,  and  any  leak 
results  in  the  liquid  running  down.  It  also  needs 
replenishing  more  often  than  the  porcelain  chlorine 
still.  The  chlorine  still,  made  by  the  Berlin 
Porcelain  Company,  is  filled  to  a  depth  of  about 
4  cm.  with  pebbles  or  glass  stoppers,  and  on  these 
are  placed  lumps  of  manganese  dioxide,  1  —  1*5  ch.c. 
in  diameter.  The  hydrochloric  acid  used  is  of  the 
strength  of  equal  parts  of  the  strong  acid  and  of 
water.  The  joint  between  the  cover  and  the  vessel 
is  made  tight  by  a  number  of  filter  papers  soaked 
in  oil.  The  porcelain  vessel  stands  in  a  water- 
bath,  which  is  supplied  with  it,  and  when  a  current 
of  gas  is  required  a  burner  is  lighted  below  the 
water-bath.  The  water  is  soon  warmed,  as  the 
surface  of  the  metal  is  large  and  the  volume  of 
water  is  relatively  small.  It  is  best  not  to  allow 
the  water  to  boil,  as  the  steam  is  apt  to  cause  the 
filter-paper  joint  to  leak.  A  glass  stop-cock  con- 
trols the  flow  of  gas  from  the  still,  and  a  screw-tap 
or  nipper-tap  should  be  used  to  control  the  entrance 
of  the  acid  from  the  upper  vessel.  The  glass  stop- 
cock having  been  partly  turned  on,  matters  are 
adjusted  before  leaving  the  apparatus  to  itself,  so 
that  the  level  of  the  acid  in  the  upper  vessel  re- 
mains stationary.  When  it  is  desired  to  stop  the 
current  the  exit  tap  is  closed.  The  amount  of 
liquid  in  the  still  can  be  judged  by  the  level  of  the 
acid  in  the  upper  vessel.  If  most  of  the  acid  is  in 
the  upper  vessel,  turn  out  the  burner  under  the 


22  Practical  Proofs  of 


water-bath  and  close  the  inlet  tap.  If,  on  the  other 
hand,  most  of  the  acid  has  run  down  into  the  still, 
continue  heating  after  turning  off  the  exit  tap  until 
most  of  the  acid  is  driven  into  the  upper  vessel, 
when  the  inlet  tap  may  be  closed.  When  the  acid 
requires  renewal,  syphon  from  the  upper  vessel, 
the  inlet-tap  being  closed.  A  large  supply  of 
manganese  dioxide  can  be  put  into  the  still, 
sufficient  to  last  without  renewal  for  a  term's 
laboratory  work.  The  still  can  then  be  replenished 
when  the  laboratory  is  no  longer  in  use  by  the 
pupils,  and  the  apparatus  can  be  got  ready  again 
(air  expelled,  acid  driven  back,  and  joints  tested) 
immediately  before  the  commencement  of  the  next 
term's  laboratory  classes. 

For  calculation  and  statement  of  results  of  the 
exercise  see  post,  at  the  end  of  Exercise  IV. 

EXERCISE  IV. — Determination  of  the  proportion  in 
which  silver  and  chlorine  combine  when  a  solution 
of  hydrochloric  acid  acts  upon  a  solution  of  silver 
nitrate. 

The  following  are  the  apparatus  and  substances 
required : — Granulated  silver.  Nitric acid \  the  '  pure, 
strong  '  should  be  used,  but  a  little  hydrochloric  acid 
as  impurity  does  not  matter.  Hydrochloric  acid, 
pure,  strong.  Porcelain  crucible  and  lid  of  the  size 
generally  used  in  quantitative  analysis,  weighing 
about  22  grams.  Pipette  delivering  10  cb.c.  Iron 
tripod,  pipe-clay  triangle,  crucible  tongs,  preferably 


Chemical  Laws 


23 


of  gun-metal,  desiccator \  wash-bottle,  and  water-bath. 
Water-baths  are  somewhat  expensive,  and  economy 
may  be  effected  in  working  this  course  of  experi- 
ments, in  which  the  evaporations  are  done  in 
crucibles,  by  using  water-baths  such  as  those  made 
for  Wanklyn's  process  of  milk  analysis,  which  are 
provided  with  a  number  of  holes  of  a  size  required 
for  crucibles.  As  it  is  desirable  that  the  evapora- 
tion should  not  require  watching,  the  bath  should 
be  furnished  with  an  arrangement  for  keeping  the 
level  of  the  water  constant. 

Method  of  conducting  tlie  experiment. — Weigh  a 
porcelain  crucible  and  lid.  Weigh  out  in  the 
crucible  '$-'6  grams  pure  granulated  silver.  Just 
cover  with  hot  water  and  add  strong  nitric  acid 
from  a  pipette  slowly \  so  as  to  keep  up  a  fairly  rapid 
evolution  of  gas  without  such  effervescence  as 
might  result'  in  loss.  Towards  the  end  the  process 
may  be  hastened  by  warming  on  the  water-bath, 
but  the  contents  of  the  crucible  must  not  be 
evaporated  to  dryness  while  any  silver  remains 
undissolved.  When  the  whole  of  the  silver  has 
dissolved,  evaporate  to  dryness  in  order  to  expel 
excess  of  nitric  acid,  the  crucible  being  uncovered 
and  placed  in  a  draught  chamber  during  the 
process.  Dissolve  the  silver  nitrate  in  a  very  little 
hot  water,  add  6-10  cb.c.  strong  pure  hydrochloric 
acid,  and  evaporate  to  complete  dryness  on  the 
water-bath.  When  dry,  replace  the  lid  and  heat 
gently  on  the  pipe-clay  triangle,  preferably  with  a 
rose  on  the  Bunsen  burner.    When  there  is  no 


24 


Practical  Proofs  of 


longer  danger  of  spirting,  remove  the  lid  and  heat 
the  crucible  carefully  with  a  small  flame  of  the 
Bunsen  burner,  applying  the  heat  round  the  sides 
of  the  crucible  rather  than  at  the  bottom.  As  soon 
as  the  chloride  begins  to  fuse  round  the  edges, 
cease  heating,  replace  the  lid,  and  transfer  to  the 
desiccator.    Weigh  when  quite  cold. 

Calculation  and  Statement  of  Results  of 
Exercises  III  and  IV. 

A  pupil  found  that 

•500  grams  silver  by  second  method  gave 

and  that 

'497  grams  silver  by  first  method  gave 

therefore 

•500  grams  silver  by  first  method  would  give    '663  of  chloride. 

Therefore,  assuming  the  truth  of  the  law  of  con- 
servation of  mass,  which  was  verified  in  Exercise 
II.,  the  proportions  in  which  chlorine  combines 
with  a  fixed  weight  of  silver  under  the  different 
conditions  of  Exercises  III.  and  IV.  were  found  to 
be  as 

163  :  164 

The  difference  is  *6  per  cent.,  which,  on  the  assump- 
tion that  the  law  of  definite  proportions  holds 
exactly,  is  the  experimental  error. 

For  a  supplementary  experiment  (Exercise 
IV.  A.),  illustrating  the  application  of  the  rule  of 


•664  of  chloride 


•659  of  chloride  ; 


Chemical  Laws 


definite  proportions  to  the  case  of  elements  which 
do  not  combine  together,  see  end  of  this  chapter. 

For  an  experiment  verifying  the  second  part  of 
the  law  (viz.  that  the  definite  fixed  proportion 
between  the  weights  of  two  elements  combining  to 
form  a  particular  compound  substance  is  a  constant 
proportion  between  the  weights  of  those  two 
elements  present  in  chemical  compounds  con- 
taining also  other  elements)  see  Chapter  V. 

Note  upon  early  experiments  relating  to  the  Law 
of  Definite  Proportions,  and  upon  Stas*  determina- 
tions.— The  accumulation  of  the  results  of  chemical 
analysis  in  the  later  part  of  the  eighteenth  century 
gradually  established  the  fact  that  a  number  of 
well-known  substances,  e.g.  certain  salts  and 
minerals,  had  a  definite  fixed  composition.  Some 
chemists  were  disposed  to  regard  the  fixed  com- 
position of  these  substances  as  evidence  of  a  general 
law  that  elements  can  only  combine  chemically  in 
certain  constant  proportions  which  are  independent 
of  the  conditions  of  combination.  The  growth  of 
this  view  was  strongly  combated  by  Berthollet  in 
the  first  years  of  the  nineteenth  century.  He  con- 
tended that  there  was  no  such  restriction  upon  the 
combining  proportions  of  the  elements.  The  fixity 
of  composition  of  characteristic  chemical  substances 
he  considered  to  be  determined  mainly  by  con- 
ditions, such  as  insolubility,  volatility,  &c.  Ana- 
lyses were  undertaken  by  Proust,  designed  to 
test  the  view  that  the  combining  proportions  of 
chemical  elements  are  independent  of  conditions  of 


26 


Practical  Proofs  of 


temperature,  pressure,  solubility,  and  so  forth. 
The  issue  of  the  controversy  confirmed  the  views 
advocated  by  Proust  in  opposition  to  Berthollet. 
We  quote  some  of  Proust's  results.  He  writes 
('  Journal  de  Physique,'  vol.  lv.,  A.D.  1802,  p.  326)  : 
'  One  hundred  parts  of  antimony,  and  the  same 
amount  of  sulphur,  heated  in  a  glass  retort  till  the 
whole  is  completely  fused  and  the  excess  of  sulphur 
has  been  driven  off,  leave  135  parts  by  weight  of 
the  sulphide. 

4  This  experiment,  however  often  repeated, 
always  yields  the  same  result.  One  hundred  parts 
of  antimony  heated  with  300  parts  of  cinnabar  (the 
native  sulphide  of  mercury)  give  from  135  to  136 
parts  of  the  sulphide.  These  sulphides  heated  with 
an  equal  weight  of  sulphur  did  not  increase  in 
weight.  It  follows,  that  antimony  conforms  to  the 
same  law  as  all  the  metals  which  are  capable  of 
combining  with  sulphur.  They  take  up  a  constant 
quantity  fixed  by  Nature,  and  Man  has  no  power 
to  increase  or  diminish  this  quantity.'  This  result 
may  be  taken  as  verifying  the  Law  of  Definite  Pro- 
portions within  about  *5  per  cent. 

In  dealing  with  the  more  difficult  case  of  iron 
pyrites  ('  Journal  de  Physique/  vols.  lii.  and  liv.), 
Proust's  results  are  less  satisfactory  from  a 
numerical  point  of  view,  although  they  are  more 
interesting  in  so  far  as  they  afford  an  early  example 
of  the  artificial  reproduction  of  a  natural  mineral, 
and  a  rough  confirmation  of  the  fact  that  the  amount 
of  sulphur  with  which  iron  can  combine  is  the  same, 


Chemical  Laws 


27 


whether  the  sulphide  be  formed  in  the  laboratory 
or  in,  e.g.  a  mineral  vein.  Proust  found  that  400 
parts  of  the  natural  iron  pyrites  were  reduced  by 
heating  sufficiently  to  318  parts.  He  then  mixed 
318  parts  of  the  common  black  sulphide  of  iron 
with  sulphur,  and  after  heating,  not  too  strongly, 
found  that  a  substance  was  formed  having  the 
principal  properties  of  the  natural  iron  pyrites  and 
which  weighed  378,  instead  of  400.  This  confirms 
the  law  to  within  about  5^-  per  cent. 

In  1805  Gay-Lussac  and  Humboldt  found  that 
the  proportions  in  which  hydrogen  and  oxygen 
combine  to  form  water  is  unaffected  by  differences 
of  temperature  and  pressure. 

For  modern  work  showing  to  a  high  degree  of 
accuracy  that  the  proportions  of  combination  in 
the  formation  of  a  particular  compound  are  un- 
affected by  circumstances  of  temperature  and 
pressure,  or  by  the  source  from  which  the  substances 
are  derived,  see  Stas'  analysis  of  ammonium 
chloride  (*'  Nouvelles  Recherches  sur  les  Lois  des 
Proportions  Chimiques '  in  the  '  Memoires  de 
TAcademie  Royale  de  Belgique/  vol.  xxxv.  pp„ 
48-57). 

Application  of  the  Law  of  Definite 
Proportions  to  the  case  of  elements  which 

REACT,  BUT  DO  NOT  UNITE  TOGETHER.— To  meet 
the  case  of  the  chemical  displacement  oi  one  element 
by  another  we  may  adopt  the  following  statement 
of  the  Law  of  Definite  Proportions  : — 

Chemical  elements  react  together  in  a  definite  fixed 


28 


Practical  Proofs  of 


proportion. — The  displacement  or  replacement  in  a 
definite  fixed  proportion  may  be  verified  by  an 
experiment  upon  the  action  of  magnesium  (or  zinc) 
upon  dilute  sulphuric  and  hydrochloric  acids,  when 
the  metal  dissolves  in  the  acid  and  hydrogen  gas 
is  evolved. 

EXERCISE  IV.  (a).  Determination  of  the  quantity 
of  hydrogen  evolved  on  the  solution  of  a  given 
iveight  of  magnesium  (or  zinc)  in  dilute  sulphuric 
acid  and  dilute  hydrochloric  acid  respectively. 

The  following  are  the  apparatus  and  materials 
required : — Either  magnesium  ribbon,  or,  if  the  ex- 
periment be  made  with  zinc  instead  of  magnesium, 
pure  granulated  zinc  should  be  used.  Glass  tube 
about  2  cm.  long  and  I  cm.  wide  closed  at  one 
end.  Glass  wool  Pad  of  caoutchouc  (a  slice  from 
a  large  rubber  stopper  will  do)  with  a  hole  cut  to 
fit  the  closed  end  of  the  tube,  and  a  nick  or  chan- 
nel in  the  upper  surface.  Glass-mortar  or  small 
pudding-basin,  or  deep  evaporating  dish.  Pure 
dilute  sulphuric  and  hydrochloric  aeids.  Wide 
glass  cylinder,  or  other  deep  vessel,  thermometer, 
and  a  graduated  gas-measuring  tube  which  can  be 
closed  with  the  thumb  (see  also  Chapter  VII., 
Exercise  XV.).    Retort  stand  and  clamp, 

Metliod  of  conducting  the  expej'iment. — Weigh 
out  with  the  greatest  care  about  *o6  gram  of 
magnesium  in  short  pieces  (or  about  '15  gram 
granulated  zinc).  With  a  balance  such  as  has 
been  referred  to  in  Chapter  II.,  and  weighing  by 


Chemical  Laws 


29 


vibrations,  the  error  of  weighing  need  not  be 
more  than  *5  per  cent,  of  the  weight  of  zinc, 
but  may  be  as  much  as  1  per  cent,  on  the  weight 
of  magnesium.  Place  the  pieces  of  metal  in  the 
short  glass  tube.  Plug  the  open  end  loosely  with 
glass-wool.  Place  the  closed  end  of  the  tube  in 
the  hole  cut  in  the  piece  of  caoutchouc  provided 
for  this  purpose.  Fill  up  the  short  tube  with  water. 
Half  fill  the  dish  or  mortar  with  weak  sulphuric 
(or  hydrochloric)  acid.  The  ordinary  dilute  sul- 
phuric acid  used  in  the  laboratory  (1  of  strong 
acid  to  5  of  water)  may  for  this  purpose  be  diluted 
with  an  equal  bulk  of  water.  Similarly,  ordinary 
dilute  hydrochloric  acid  (1  of  strong  acid  to  3  of 
water)  may  be  further  diluted  with  an  equal  bulk 
of  water.  Fill  the  graduated  tube  with  the  same 
acid  as  that  in  the  basin.  Close  the  open  end  of 
the  tube  with  the  thumb  and  invert  it  in  the  dish, 
the  dish  being  placed  upon  the  foot  of  the  retort 
stand.  Hold  the  graduated  tube  in  a  slanting 
position,  and  quickly  bring  the  open  end  of  the 
short  tube,  which  contains  the  metal,  under  the 
open  end  of  the  graduated  tube.  At  once  bring 
the  graduated  tube  into  the  vertical  position  and 
clamp  it  so  that  it  rests  firmly  upon  the  pad  of 
caoutchouc.  The  metal  dissolves  in  the  acid  with 
evolution  of  hydrogen  gas.  If  the  plug  of  glass- 
wool  is  too  tight  the  operation  is  delayed,  but  it 
must  not  be  so  loose  as  to  be  carried  away  by  the 
rush  of  gas,  otherwise  pieces  of  metal  may  float  to 
the  surface  of  the  liquid  and  be  left  adhering  to 


30 


Practical  Proofs  of 


the  sides  of  the  measuring  tube  above  the  level 
of  the  acid.  In  this  case  it  would  be  necessary  to 
incline  the  tube  so  that  the  acid  flows  on  to  the 
metal.  When  the  metal  is  all  dissolved  transfer 
the  graduated  tube  to  a  tall  cylinder  filled  with 
water.  Bring  the  water  to  the  same  temperature, 
say  IS°C,  in  both  experiments.  Allow  the  tube 
to  remain  in  the  water  at  this  temperature  for  five 
or  ten  minutes,  and  then,  holding  the  tube  in  a 
paper  holder,  or  by  means  of  a  clamp,  to  prevent 
warming  by  the  hand,  read  off  the  volume  of  the 
gas,  the  level  of  the  water  being  made  the  same 
inside  and  outside  of  the  tube.  The  level  of  the 
gas  is  determined  from  the  level  of  the  bottom  of 
the  water  meniscus  in  the  tube. 

Calculation  and  statement  of  results. — Calculate 
the  volume  of  gas  evolved  for  the  same  weight  of 
metal,  (a)  when  sulphuric  acid  and  {b)  when  hydro- 
chloric acid  is  used,  and  compare  the  results. 
Example : — A  pupil  found  that  the  volumes  of 
hydrogen  evolved  by  the  same  weight  of  zinc  from 
hydrochloric  acid  and  from  sulphuric  acid  re- 
spectively differed  by  7  per  cent. 


Chemical  Laws 


3* 


CHAPTER  IV 

THE  LAW  OF  EQUIVALENT  PROPORTIONS 

THE  experiments  described  in  this  chapter  upon 
the  verification  of  the  above  law  show  that  those 
weights  of  silver  and  potassium  which  combine  with 
a  certain  weight  of  chlorine  combine  also  with  another 
fixed  weight  of  bromine.  For  a  general  statement 
of  the  law,  see  Chapter  I.  We  assume,  throughout 
the  course,  the  truth  of  the  Law  of  Conservation  of 
Mass  which  was  verified  in  Exercise  II. 

It  is  desirable  that  the  pupil,  before  conducting 
the  experiments  described  in  this  Chapter,  should 
be  acquainted  with  the  evidence  showing  that 
potassium  chloride  (or  bromide)  is  a  compound  of 
potassium  and  chlorine  (or  bromine)  only.  Davy's 
proof  of  the  composition  of  potassium  chloride  may 
be  found  in  his  '  Collected  Works/  vol.  v.  p.  58  et 
sea.,  Cavendish  Society's  Publications. 

The  first  experiment  needed  for  our  verification 
of  the  law  is  that  of  the  synthesis  of  silver  chloride, 
which  has  already  been  performed  as  an  exercise 
on  the  Law  of  Definite  Proportions.  The  second 
is  the  synthesis  of  silver  bromide,  which  is  shortly 
described  in  the  next  paragraph.    The  analyses  of 


32 


Practical  Proofs  of 


the  chloride  and  bromide  of  potassium  involves  the 
application  of  methods  not  yet  explained  in  this 
course,  and  a  more  detailed  description  of  them  is 
therefore  given.  If  desired,  iodine  may  be  substi- 
tuted for  bromine  in  the  following  exercises. 

EXERCISE  V. — Determination  of  the  combining 
pTOpoi'tion  of  silver  and  bromine \  by  the  action 
of  liydrobromic  acid  on  silver  nitrate. 

The  following  are  the  apparatus  and  substances 
required: — Pure  granulated  silver,  solution  of  hydro- 
bromic  acid  (the  unsaturated  acid  containing  free 
bromine  will  do),  pure  strong  nitric  acid,  which 
must  be  free  from  hydrochloric  acid.  To  test  this 
point,  dilute  and  add  a  drop  of  solution  of  silver 
nitrate.  If  a  precipitate  of  silver  chloride  appears 
the  acid  must  be  purified  or  a  pure  sample  obtained. 
To  purify,  add  some  silver  nitrate  solution  to  the 
nitric  acid  and  distil  from  a  small  retort  placed  on 
a  sand-tray.  The  beak  of  the  retort  passes  into 
the  neck  of  a  glass  flask  which  is  kept  cooled.  The 
acid  which  distils  over  will  be  free  from  hydro- 
chloric acid.  The  apparatus  required  in  Exercise 
V.  is  the  same  as  in  Exercise  IV. 

Method  of  conducting  tlie  experiment. — Weigh  a 
porcelain  crucible  and  lid.  In  the  crucible  weigh 
out  *2  5  —  *3  gram  of  pure  granulated  silver.  Dis- 
solve in  the  pure  nitric  acid,  evaporate  to  dryness 
and  re-dissolve  in  water.  Add  hydrobromic  acid 
cautiously.    If  the  reaction  is  violent  the  lid  must 


Chemical  Laws 


33 


be  placed  upon  the  crucible  to  prevent  loss  by 
spirting.  The  evaporation  should  not  be  com- 
menced at  the  full  heat  of  the  water-bath.  When 
dry,  add  a  little  hot  water  and  more  hydrobromic 
acid,  and  take  down  to  dryness  again.  Without 
this  second  treatment  some  of  the  silver  nitrate 
would  escape  conversion  to  bromide.  Finally 
heat  carefully  over  the  bare  flame  till  the  substance 
begins  to  fuse. 

Calculation  and  statement  of  results. — Calcu- 
late from  the  mean  value  obtained  from  Exercises 
III.  and  IV.  what  weight  of  silver  combines  with 
i  of  chlorine.  From  Exercise  V.  calculate  what 
weight  of  bromine  combines  with  this  weight  of 
silver. 

For  mode  of  statement  of  results  and  examples 
of  results  obtained,  see  end  of  Exercise  IX. 

Before  proceeding  to  the  analysis  of  potassium 
chloride  (Exercise  VIII.),  two  preliminary  exercises 
must  be  performed. 

The  analysis  of  potassium  chloride  is  effected 
by  determining  the  chlorine  in  a  given  weight  of 
the  salt  and  subtracting  the  weight  of  the  chlorine 
from  that  of  the  salt  taken  in  order  to  find  the 
weight  of  the  potassium.  The  quantity  of  the 
chlorine  needed  is  determined  from  the  weight 
of  the  silver  needed  to  combine  zvith  it>  using 
the  mean  value  obtained  from  Exercises  III. 
and  IV.  The  method  we  shall  employ  is  a 
volumetric  one,  in  which  we  estimate  the  chlorine 
by  determining   the  volume  of  a  silver-nitrate 

D 


34 


Practical  Proofs  of 


solution  of  known  strength  which  is  just  sufficient 
to  provide  silver  to  combine  with  the  chlorine  con- 
tained in  the  weight  of  potassium  chloride  taken. 
For  carrying  out  this  method  we  require  to  know 
the  percentage  of  silver  contained  in  a  silver  nitrate 
which  forms  the  subject  of  the  next  exercise. 

Exercise  VI. — Determination  of  the  percentage  of 
silver  in  silver  nitrate  by  the  redtiction  of  the 
silver  nitrate  in  hydrogen. 

The  following  are  the  apparatus  and  substances 
required : — Crystals  of  silver  nitrate.  An  arrange- 
7nent  for  heating  the  substance  in  a  current  of  a  gas \ 
as  described  in  Exercise  III.  A  current  of  a  re- 
ducing gas,  either  coal-gas  or  hydrogen.  If  coal-gas 
be  used  it  is  well  to  let  it  bubble  through  a  liquid, 
in  order  that  the  rate  of  supply  may  be  observed 
and  controlled.  The  materials  for  generating 
hydrogen  are  zinc  (the  distilled  zinc  is  the  purest, 
but  it  is  expensive)  and  dilute  pure  sulphuric  acid 
(i  of  strong  acid  to  about  4  of  wTatcr).  The  gas 
may  be  purified  by  passing  it  through  a  solution 
of  potassium  permanganate. 

Method  of  conducting  the  experiment. — The  re- 
duction must  not  proceed  too  rapidly,  as  loss  of 
material  might  occur.  The  current  of  gas  must 
therefore  be  slow,  and  the  reduction  should  be 
carried  out  at  as  low  a  temperature  as  possible. 
When  no  more  brown  fumes  of  oxides  of  nitrogen 


Chemical  Laivs 


35 


are  formed  the  reduction  is  finished.  The  reaction 
is  quickly  effected. 

Calculation  and  statement  of  results. — From  the 
weight  of  silver  nitrate  taken  and  the  weight  of 
silver  left,  calculate  how  many  parts  of  silver  there 
are  in  ioo  parts  of  silver  nitrate.  The  following 
calculation  will  also  be  found  useful.  From 
Exercises  III.  and  IV.  we  know  the  weight  of 
silver  which  combines  with  weight  I  of  chlorine  ; 
calculate  from  Exercise  VI.  what  weight  of 
silver  nitrate  contains  this  weight  of  silver.  The 
following  is  an  example  of  results  obtained.  A 
pupil  found  that  '4765  silver  nitrate  gave  '3044 
silver.  The  percentage  of  silver  is  therefore 
63*88  per  cent,  found  by  the  pupil,  as  against 
63-50  per  cent,  given  by  standard  determinations. 
Assuming  the  standard  determination  as  absolutely 
correct,  the  experimental  error  of  the  pupil's  de- 
termination is  +'38  per  cent. 

EXERCISE  VII. — Preparation  of  a  solution  of  silver 
nitrate  containing  a  knozvn  weight  of  the  element 
silver  per  cb.c. 

The  following  are  the  apparatus  and  substances 
required :  —Crystals  of  silver  niU'ate,  distilled 
water,  solution  of  litmus,  vaseline,  a  500-cb.c. 
measuring- flask,  small  beaker,  small  funnel,  50-cb.c. 
pipette,  two  glass-stoppered  bottles,  capable  of  holding 
at  least  50  cb.c.  each,  gummed  labels. 

d  2 


36 


Practical  Proofs  of 


Method  of  preparing  the  solution. — Wash  out 
the  500-cb.c.  flask  carefully  with  distilled  water  ;  it 
need  not  be  dried  afterwards.  Weigh  out  accurately 
about  8*5  grams  of  silver  nitrate.  The  distilled 
water  for  dissolving  the  silver  nitrate  should  be 
neutral,  and  must  not  contain  more  than  a  very 
small  trace  of  chloride.  To  test  the  latter  point 
add  a  drop  of  silver  nitrate  to  some  of  the  water. 
It  should  give  at  most  a  very  faint  turbidity.  To 
test  if  neutral,  pour  one  or  two  drops  of  blue  (or, 
better,  claret-coloured)  solution  of  litmus  into  a 
porcelain  dish  and  add  about  25  cb.c.  of  the  water. 
The  colour  should  not  change.  The  distilled  water 
being  such  as  is  required,  dissolve  the  silver  nitrate 
in  a  small  beaker,  preferably  one  which  has  a  lip 
for  pouring.  Place  a  small  funnel  in  the  neck  of 
the  500-cb.c.  measuring- flask  and  pour  in  the 
solution.  A  trace  of  vaseline  put  on  the  under 
side  of  the  lip  of  the  beaker  will  prevent  the 
liquid  from  running  down  the  outside.  Rinse  out 
the  beaker  several  times  into  the  flask.  Make  up 
the  level  in  the  flask  so  that  the  lower  level  of  the 
meniscus  touches  the  mark  on  the  neck.  Place 
the  glass  stopper,  which  must  fit  accurately,  in  the 
flask,  and,  holding  this  in  its  place,  thoroughly 
mix  the  contents  by  inverting  the  flask  once  or 
twice.  We  have  now  a  stock  of  silver  nitrate  of 
known  strength,  i.e.  which  contains  a  known 
weight  of  silver  per  cb.c.  Transfer  the  solution  to 
a  clean  and  perfectly  dry  stoppered  bottle.  The 
drying  must  be  effected  by  heating  and  blowing 


Chemical  Laws 


37 


air  through,  as  described  in  Exercise  II.  Label 
the  bottle  thus  : 

Standard  Silver  Nitrate  Solution 

I  cb.c.  contains  .    .    .    silver  =    .  chlorine 
=    .  bromine 

Name  of  pupil  

Date  ..... 

In  the  actual  titrations  a  more  dilute  solution 
made  from  this  will  be  used.  It  can  be  made  up 
from  time  to  time  as  required  by  withdrawing 
50  cb.c.  by  means  of  a  50  cb.c.  pipette,  delivering 
into  a  500  cb.c.  flask  and  making  up  to  the  mark  on 
the  neck.  The  pipette  used  must  be  clean  and  dry. 
To  dry  it,  blow  air  through  from  the  bellows  while 
warming  not  too  strongly  in  the  luminous  gas- 
flame.  The  pipette  is  held  in  a  sloping  position 
with  the  delivery  end  downwards.  The  delivery 
end,  in  which  the  water  collects,  should  not  be 
allowed  to  come  near  the  flame.  In  delivering  the 
solution  from  the  pipette  allow  it  to  drain  for  about 
a  minute.  Then,  when  there  is  a  length  of  liquid 
in  the  narrow  portion  which  does  not  form  a  drop 
and  fall,  touch  the  side  of  the  vessel.  About  halt 
the  liquid  comes  out ;  the  remainder  of  the  liquid 
should  not  be  blown  out,  as  the  pipette  is  made  to 
deliver  50  cb.c,  its  contents  being  slightly  greater. 

Transfer  the  dilute  silver-nitrate  solution  to  a 
clean,  dry  bottle,  and  label. 

It  generally  happens  that  some  pupils  fall 
behind  others  in  a  course  of  laboratory  work.  If 
it  is  desired  that  all  should,  as  far  as  possible,  work 


38 


Practical  Proofs  of 


the  same  experiments  side  by  side,  those  who  have 
fallen  behind  might  omit  the  preparation  of  the 
standard  silver  nitrate  solution,  making  up  the 
dilute  solution  for  themselves  from  some  of  the 
stock  prepared  by  others. 

Exercise  VIII. — Determination  of  the  ratio  {or 
proportion)  in  which  potassium  and  chlorine  are 
combined  in  potassium  chloride. 

The  following  are  the  apparatus  and  substances 
required : — The  dilute  silver  nitrate  solution  pre- 
pared in  Exercise  VII.,  distilled  zvater,  solution  of  po- 
tassium chromate  free  from  chloride.  To  test  if  free 
from  chloride  acidify  with  pure  dilute  nitric  acid  and 
add  a  drop  of  silver  nitrate  solution.  The  liquid 
should  remain  clear.  If  a  turbidity  is  produced,  a 
purer  specimen  must  be  obtained,  or  the  salt  may 
be  purified  by  re-crystallisation.  To  effect  this, 
dissolve  in  the  smallest  quantity  of  water,  with  the 
aid  of  heat,  in  a  small  flask  of  about  1 50  cb.c.  Cool 
under  the  tap,  pour  off  the  liquor  from  the  deposited 
crystals,  allow  the  crystals  to  drain  thoroughly, 
dry  them  between  folds  of  white  blotting  paper  or 
filter  paper,  dissolve  in  water,  and  label  '  Potassium 
Chromate — indicator.'  We  also  require  a  500  cb.c. 
measuring  flask,  small  funnel,  small  beaker,  watch- 
glass,  a  25  cb.c. pipette,  a  burette  and  burette-stand, 
two  or  three  porcelain  dishes  to  hold  70  or  80  cb.c, 
one  or  two  glass  stirring  rods,  which  are  best  made 
by  sealing  up  the  ends  of  glass  tubing  ;  solid  glass 
rods  are  apt  to  break  the  bottom  of  a  beaker. 


Chemical  Laws 


39 


Method  of  conducting  the  experiment. — Weigh 
out  accurately  upon  a  watch-glass  about  '35  gram 
of  potassium  chloride,  and  dissolve  in  500  cb.c.  of 
distilled  water,  which  must  be  free  from  chloride 
and  neutral  to  litmus.    Wash  out  a  burette  with 
distilled  water  and  allow  it  to  drain.    Then  wash  it 
out  with  from  1  cb.c.  to  2  cb.c.  of  the  dilute  silver 
nitrate  solution.    Pour  the  dilute  silver  nitrate 
solution  into  the  burette  and  see  that  it  is  filled  to 
the  end  of  the  delivery  jet.  Take  out  25  cb.c.  of  the 
potassium  chloride  solution  with  the  25  cb.c.  pipette 
and  deliver  into  a  porcelain  dish.    If  the  distilled 
water  was  even  slightly  acid,  add  a  few  drops  of 
pure  carbonate  of  soda  solution,  free  from  chloride. 
Add  a  few  drops  of  the  potassium  chromate  solu- 
tion.   The  same  number  of  drops  should  be  added 
in  each  titration.    Read  the  lower  level  of  the 
meniscus  in'  the  burette.    If  a  float  is  used  the 
reading  of  the  burette  is  rendered  much  easier. 
Run  the  silver  nitrate  solution  into  the  dish,  keep- 
ing the  liquid  stirred  by  means  of  a  glass  rod. 
The  silver  solution  will  soon  begin  to  produce  a 
faint  reddish  tinge,  due  to  the  formation  of  silver 
chromate.    This,  however,  is  decomposed  with  the 
formation  of  silver  chloride  as  long  as  any  potas- 
sium chloride  remains  in  the  solution.    When  the 
amount  of  potassium  chloride  left  is  small  the 
colour  disappears  slowly,  an  indication  that  the 
reaction  is  nearly  completed.    At  length  the  addi- 
tion of  a  drop  of  the  silver  solution  produces  a  red 
spot,  which  on  stirring  diffuses  a  permanent  faint, 


4o 


Practical  Proofs  of 


reddish  tinge  throughout  the  liquid.  With  the 
quantities  prescribed  this  will  be  when  about  25  cb.c. 
of  the  silver  solution  have  been  added.  We  have 
now  added  enough  silver  to  combine  with  all  the 
chlorine  contained  in  the  solution,  and  one  drop 
over  and  above,  which  has  formed  the  small 
quantity  of  red  silver  chromate  which  imparts  a 
reddish  tinge  to  the  contents  of  the  basin.  The 
necessity  for  avoiding  the  presence  of  free  acids 
throughout  the  operations  arises  from  the  fact  that 
silver  chromate  is  decomposed  and  dissolved  by 
acids.  Neglecting  to  take  account  of  the  drop  in 
excess  (equal  to  about  *05  cb.c),  we  may  say  that 
the  volume  of  silver  nitrate  solution  added  con- 
tains just  so  much  silver  as  is  required  to  combine 
with  the  chlorine  contained  in  the  25  cb.c.  of  potas- 
sium chloride  solution.  Successive  determinations 
are  done  with  successive  quantities  of  potassium 
chloride  solution,  until  practice  in  hitting  the  exact 
point  at  which  the  reddish  tinge  appears  enables 
the  pupil  to  make  successive  determinations  not 
differing  by  more  than  *i  cb.c.  The  eye  is  assisted 
in  noting  the  exact  point  of  change  by  comparison 
with  the  contents  of  a  dish  containing  potassium 
chromate  solution  and  a  soluble  chloride  to  which 
some  silver  nitrate  solution  has  been  added,  the 
soluble  chloride  being  present  in  excess.  A  sheet 
of  white  paper  placed  beneath  the  dish  is  also  of 
assistance.  The  colour  change  can  be  observed 
somewhat  better  by  gaslight  than  by  daylight. 

Calculation  and  statement  of  results. — Multiply 


Chemical  Laws 


4i 


the  weight  of  chlorine  corresponding  to  1  cb.c. 
of  the  silver  solution  by  the  number  of  cb.c.  used 
for  25  cb.c.  of  the  potassium  chloride  solution. 
Multiply  this  number  by  20  (i.e.  50OH-25),  and  we 
obtain  the  weight  of  chlorine  in  the  potassium 
chloride  which  was  weighed  out.  Subtract  this 
from  the  weight  of  the  potassium  chloride.  The 
difference  gives  the  weight  of  the  potassium. 

Calculate  by  simple  proportion  the  weight  of 
potassium  which  combines  with  weight  1  of  chlo- 
rine. 

EXERCISE  IX. — Determination  of  the  ratio  in 
which  potassium  and  bromine  are  combined  in 
potassium  bromide. 

We  require  the  same  apparatus  and  substances 
as  in  the  last  exercises,  except  that  potassium 
bromide  is  used  instead  of  potassium  chloride. 

Method  of  conducting  the  experiment. — Weigh 
out  accurately  about  *5  gram  of  potassium  bromide, 
and  dissolve  in  500  cb.c.  of  water.  Proceed  exactly 
as  in  the  last  exercise. 

Calculation  and  statement  of  results. — The  com- 
bining proportion  of  silver  and  bromine  was  deter- 
mined in  Exercise  V.  From  the  amount  of  silver 
used  in  the  titration  of  the  potassium  bromide 
calculate  the  weight  of  bromine  which  it  contains. 
The  weight  of  potassium  is  obtained  by  subtracting 
the  weight  of  bromine  from  that  of  the  salt  taken. 
Calculate  the  weight  of  bromine  which  is  combined 


42 


Practical  Proofs  of 


in  potassium  bromide  with  just  so  much  potassium 
as  has  been  found  to  unite  with  weight  I  of 
chlorine. 

We  have  now  obtained  all  the  necessary  data 
for  a  verification  of  the  Law  of  Equivalent  Pro- 
portions. 

Example  of  results  obtained  in  verification  of 
the  Lazv  of  Equivalent  Proportions, — A  pupil  found 
that 

✓3*048  silver  which  combine  with 
I  part  by  weight  of  chlorine^     2*267  bromine 

combines  with  m  -1004  potassium  which  combine 

with  2*269  bromine 

The  bromine,  instead  of  being  exactly  equal  in 
each  case,  differs  by  2  parts  in  2,268  ;  therefore  the 
experimental  error  is  moy  per  cent.  The  standard 
number  for  the  percentage  of  silver  in  silver  nitrate 
was  employed  by  the  pupil  who  obtained  the  above 
result. 

The  same  results  may  also  be  calculated,  using 
instead  of  weight  1  of  chlorine,  the  weight  of  chlo- 
rine which  standard  determinations  have  shown 
to  combine  with  weight  1  of  hydrogen.  The 
advantage  of  this  method  of  calculation  is  that,  by 
comparison  with  a  table  of  equivalent  weights^  the 
degree  of  accuracy  attained  in  each  determination 
is  readily  calculated.  The  above  example  calcu- 
lated on  this  basis  comes  out  thus  : — 

yio7'8o  silver  (error  +  -13  p.  c.)  which  com- 
35 '37     chlorine^     bine  with  80*20  bromine  (error  +  55  p.  c. ) 
combine  with  ^38  -92  potassium  (error  —  -28  p.  c.)  which  com- 
bine with  80*26  bromine  (  +  error  60  p.  c.) 


Chemical  Laivs 


43 


The  errors  recorded  above  represent  the  divergence 
of  the  numbers  from  the  standard  determinations 
of  equivalent  zveiglits.  It  will  generally  be  found 
that  the  results  obtained  in  this  verification  of  the 
Law  of  Equivalent  Proportions  has  a  smaller  error 
than  some  of  the  individual  determinations. 

Note  on  early  experiments  relating  to  the  Law  of 
Equivalent  Proportions ,  and  on  Stas*  determinations 
This  law,  which  is  sometimes  called  Richter's  law, 
was  first  enunciated  as  a  relation  between  the 
combining  quantities  of  acids  and  bases.  Richter's 
results,  published  about  1793,  were  very  rough. 
Thus,  his  determinations  of  the  ratio  between 
equivalent  quantities  of  carbonic  acid  and  lime 
differs  from  the  standard  numbers  as  determined 
by  modern  workers  to  the  extent  of  9  per  cent. 
He  failed  to  convince  the  scientific  world  of  his 
day  of  the  importance  of  his  work.  Cavendish 
also  published  determinations  of  equivalent  quanti- 
ties of  compounds.  His  numbers  are  much  more 
nearly  accurate.  When  the  law  was  applied  to 
the  case  of  elements,  the  first  results  were  again 
very  rough.  Thus  we  find  that  Dalton  ('  New 
System  of  Chemical  Philosophy/  published  1808, 
Part  I.,  p.  219)  gives  numbers  which  show  the  ratio 
of  equivalent  quantities  of  silver  and  sulphur  to 
be  7*69.  The  same  numbers  are  given  in  Part  II. 
of  Dalton's  book  published  two  years  later.  This 
result  is  14  per  cent,  greater  than  the  ratio  675, 
which  is  that  of  our  present  standard  numbers. 
The  result  calculated  from  the  second  experiment 


44 


Practical  Proofs  of 


cited  in  Chapter  II.  (in  which  silver  was  heated 
with  excess  of  sulphur)  is  6725,  which  differs  from 
the  standard  number  by  —  '4  per  cent.  The 
standard  of  accuracy  for  determination  of  equi- 
valent quantities  of  the  elements  was  greatly  raised 
by  Berzelius. 

As  an  example  of  modern  work  in  which  the 
law  of  equivalent  proportions  is  verified,  we  proceed 
to  quote  numbers  obtained  by  Stas.  They  relate 
to  the  same  elements  as  those  dealt  with  in  the 
exercises  of  the  present  chapter.  The  weight  of 
silver  is  taken  as  unity  instead  of  the  weight  of 
chlorine,  but  the  divergence  from  theoretical  accu- 
racy appears  in  the  same  way  in  both  calculations, 
viz.  in  the  slightly  different  numbers  for  the  two 
determinations  of  bromine. 

Stas  found  that : — 

.100,000  of  silver  which  combine  with 
32,844*5  of  chlorine^     74,080*5  of  bromine 

combine  with         ^36,259*1  of  potassium  which  combine 
with  74,073*1  of  bromine 

The  experimental  error  is  here  about  *oi  per  cent., 
or  1  part  in  10,000. 

For  Stas'  numbers  quoted  above,  see  '  Bull,  de 
l'Acad.  Roy.  Belg.,'  i860,  No.  8,  pp.  328  and  329,  for 
the  weights  of  chlorine  and  of  potassium  equivalent 
to  100,000  of  silver  ;  and  for  the  weight  of  bromine 
equivalent  to  the  above  weights  of  silver  and  of 
potassium,  see  '  Mem.  de  l'Acad.  Roy.  Belg.,'  18651 
vol.  xxxv.,  pp.  171  and  172. 


Chemical  Laius 


45 


CHAPTER  V 

THE  SECOND  PART  OF  THE  LAW  OF  DEFINITE 
AND  OF  CONSTANT  PROPORTIONS 

The  second  part  of  this  law  states  that  the  definite 
fixed  proportion  between  the  weights  of  two 
elements  combining  to  form  a  particular  substance 
is  a  constant  proportion  between  the  weights  of 
those  two  elements  present  in  chemical  compounds 
containing  also  other  elements. 

For  the  verification  of  the  first  part  of  this  law, 
see  Chapter  III. 

Exercise  X. — Determination  of  the  constancy  of 
the  ratio,  or  proportion,  between  the  weights  of 
potassium  and  chlorine  in  potassium  chloride  and 
in  potassium  chlorate. 

Having  determined  the  proportion  in  which 
potassium  and  chlorine  are  combined  in  potassium 
chloride  (Exercise  VIII.),  it  may  now  be  shown 
that  these  two  elements  are  combined  in  the  same 
proportion  in  potassium  chlorate. 

Apparatus  and  materials  required. — A  hard 
glass  tube  in  which  to  heat  the  substance,  closed 


46 


Practical  Proofs  of 


at  one  end,  and  about  4  cm.  long,  retort  stand  and 
clamp,  glass-ivool,  potassium  clilorate,  the  dilute 
silver  nitrate  solution,  and  other  things  required 
for  titration,  as  in  Exercise  VI 1 1. 

Metlwd  of  conducting  the  experiment. — Place 
about  1  gram  finely  powdered  potassium  chlorate, 
the  weight  of  which  need  not  be  accurately  known, 
in  the  dry  glass  tube.  Plug  the  tube  loosely  about 
half-way  up,  or  nearer  to  the  open  end,  with  glass- 
wool.  Support  the  tube  in  the  clamp  of  the  retort 
stand  near  the  open  end  of  the  tube,  sloping  it  at 
an  angle  of  about  150.  Heat  the  salt  with  the 
flame  of  a  Bunsen  burner,  holding  the  burner  in 
the  hand  and  moving  the  flame  to  and  fro  at  first 
so  as  not  to  crack  the  tube.  If  the  salt  after  fusing 
shows  a  tendency  to  solidify,  the  heat  must  be  in- 
creased ;  the  evolution  of  gas  will  then  for  a  time 
become  more  rapid.  When  the  oxygen  has  nearly 
ceased  coming  off,  it  may  be  advisable  to  turn  the 
tube  round  in  the  clamp,  so  as  to  ensure  that  the 
flame  shall  get  to  all  parts  of  the  salt.  When  no 
more  bubbles  of  gas  come  off,  allow  the  tube  to 
cool,  and  when  quite  cold  weigh  the  tube  with  its 
contents.  Place  the  tube  in  a  basin  of  distilled 
water,  which  must  be  free  from  chloride,  and  ex- 
tract the  residue  of  salt  in  the  tube  by  leaving  in 
the  hot  water.  Take  out  the  tube,  wash  it  inside 
and  outside  with  a  stream  of  water  from  the  wash- 
bottle,  allowing  the  washings  to  flow  into  the  basin. 
Set  the  basin  with  its  contents  aside  to  cool.  Wipe 
the  glass  tube  with  a  cloth,  and  put  it  in  a  desiccator 


Chemical  Laws 


47 


to  dry  thoroughly.  When  dry  weigh  the  empty 
tube.  The  difference  between  this  weighing  and 
that  of  the  tube  before  extracting  the  salt  gives 
the  weight  of  the  salt  extracted,  in  which  we  have 
to  determine  the  quantity  of  chlorine.  Make  the 
volume  of  the  solution  up  to  250  cb.c.  and  titrate 
successive  quantities  of  25  cb.c.  with  the  dilute 
solution  of  silver  nitrate  used  in  Exercise  VIII. 
On  comparing  the  results  with  those  of  Exercise 
VIII.,  it  will  be  found  that  for  the  same  weight  of 
the  salt  in  either  case  the  same  quantity  of  silver 
nitrate  is  required  ;  hence  each  contains  the  same 
quantity  of  chlorine. 

For  the  purpose  of  this  experiment  it  is  not 
necessary  to  have  a  standardised  solution  of  silver 
nitrate  ;  it  will  suffice  to  compare  the  quantity  of 
a  solution  of  unknown  strength  required  for  a  given 
weight  of  a  specimen  of  potassium  chloride  with 
the  amount  required  for  the  same  weight  of  the 
residue  obtained  after  heating  potassium  chlorate. 
This  method  of  performing  the  experiment  is 
convenient  if  it  is  desired  to  verify  the  second  part 
of  the  Law  of  Definite  and  of  Constant  Proportions 
before  entering  upon  the  Law  of  Equivalent  Pro- 
portions. The  following  example  shows  the  results 
obtained  by  a  pupil  working  in  this  way. 

Statement  of  results. — A  pupil  found  that  a 
certain  weight  of  potassium  chloride  required 
38*4  cb.c.  of  a  solution  of  silver  nitrate  of  unknown 
strength.  The  same  weight  of  residue  left  on 
heating   potassium  chlorate  required    38*2  cb.c. 


48 


Practical  Proofs  of 


As  the  amount  of  silver  nitrate  used  is  proportional 
to  the  amount  of  chlorine  present,  it  follows  that 
the  weight  of  chlorine  in  equal  weights  of  the  two 
materials  is  the  same  to  within  2  parts  in  383,  i.e. 
to  *5  per  cent. 

The  verification  of  the  law  is,  however,  some- 
what more  rigorous  if  the  strength  of  the  silver 
nitrate,  and  the  composition  by  weight  of  silver 
chloride  are  known,  as  will  be  the  case  if  the  pupil 
has  conducted  the  preceding  experiments.  As- 
suming this  knowledge,  the  proportions  between 
potassium  and  chlorine  in  the  two  materials  can 
be  directly  calculated.  The  above  experimental 
result,  if  calculated  out  in  this  way,  gives  the  pro- 
portion *9  per  cent,  higher  in  the  chlorate  than  in 
the  chloride.  The  fact  that  the  potassium  is 
estimated  by  difference  makes  the  experimental 
error  come  out  higher  than  in  the  first  calculation. 
The  example  of  potassium  chlorate  and  chloride 
serves  to  verify  the  law  to  the  degree  of  accuracy 
required  in  a  first  approximation,  but  it  appears 
that  the  chlorate  loses  a  small  quantity  of  chlorine 
on  heating,  and  the  method  described  above  would 
not  be  suitable  for  determinations  of  the  highest 
accuracy. 

Note  on  Stas  determinations  relating  to  the 
second  part  of  the  Laze  of  Definite  and  of  Constant 
Proportions, —  It  does  not  appear,  as  far  as  the 
present  writer  is  aware,  that  the  earlier  chemists 
conducted  experiments  expressly  designed  to  test 
whether  the  proportion  between  the  weights  of  two 


Chemical  Laws 


49 


elements  which  combine  together  to  form  a  '  binary' 
compound  is  the  same  as  the  proportion  between 
those  two  elements  in  a  *  ternary '  compound,  i.e. 
in  a  compound  in  which  the  two  elements  are 
present  along  with  a  third.  Ordinary  analysis 
furnished  some  evidence  in  favour  of  this  conclusion, 
but  for  the  most  part  it  seems  rather  to  have  been 
assumed  than  to  have  been  proved.  If  the  atomic 
theory  be  correct,  it  follows  that  the  proportion  by 
weight  of  two  elements,  A  and  B,  present  in  a 
binary  compound  AB,  will  be  the  same  as  the 
proportion  between  the  weights  of  those  two 
elements  in  a  ternary  compound  ABC  ;  or  at  any 
rate  there  will  be  a  very  simple  relation  between 
the  quantities.  Dalton's  graphic  symbols  for 
ternary  compounds,  e.g.  alcohol,  show  that  he  as- 
sumes this  to  be  so.  Stas,  however,  pointed  out 
that  it  was  important  for  the  proper  substantiation 
of  the  atomic  theory  that  the  point  should  be  care- 
fully tested.  Having  verified  the  fact  that  com- 
bining proportions  are  independent  of  conditions 
of  pressure,  temperature,  &c.  (by  his  analysis  of 
ammonium  chloride,  vide  Chapter  III.),  he  proceeds 
to  consider  what  further  experiments  are  necessary 
to  establish  the  invariability  of  the  combining  pro- 
portions of  the  elements.  He  says  ('  Mem.  de 
l'Acad.  Roy.  Belg.,'  vol.  xxxv.  1865,  p.  61):  'The 
constant  composition  of  stable  chemical  compounds 
being  admitted  ...  it  remains  to  be  shown  that 
in  binary  and  ternary  compounds,  for  example, 
having  two  elements  in  common,  the  elements 

E 


5o 


Practical  Proofs  of 


common  to  both  are  present  in  the  same  proportion 
by  weight.  Thus  in  two  bodies,  AB  and  ABC, 
the  ratio  of  the  weight  of  A  to  that  of  B  should  be 
exactly  the  same  in  AB  as  in  ABC.  The  solution 
of  the  problem  is  independent  of  the  ordinary 
operations  of  analysis  ;  it  is  sufficient  to  determine 
whether  the  ternary  bodies  can  be  reduced  to 
binary  without  any  fraction,  however  small,  of  one 
element  common  to  both  becoming  free.' 

To  test  this,  Stas  reduced  by  the  action  of 
sulphurous  acid  the  chlorate,  bromate,  and  iodate 
of  silver  to  the  condition  of  chloride,  bromide,  and 
iodide  respectively.  No  trace  of  silver  or  of  the 
other  constituent  was  set  free.  To  give  an  idea  of 
the  accuracy  of  this  verification  of  the  law  of 
constant  proportions,  it  should  be  mentioned  that 
considerable  quantities  of  the  salt  were  used,  e.g. 
in  the  case  of  the  iodate  about  70  grams.  The 
accuracy  is  probably  considerably  greater  than  in 
the  case  of  Stas'  result  relating  to  the  law  of  equi- 
valent proportions  quoted  in  Chapter  IV. 


Chemical  Laws 


5* 


CHAPTER  VI 

THE  LAW  OF  MULTIPLE  PROPORTIONS 

Statement  of  the  Law. — If  there  be  more  than 
one  substance  formed  by  the  combination  of  tzvo 
elements,  then,  taking  the  weight  of  one  element 
as  fixed  in  each  substance,  the  weight  of  the  other 
element  in  the  second  compound  bears  a  simple 
proportion  to  the  tv eight  of  that  element  in  the 
first. 

Two  methods  of  verifying  the  law  are  given  in 
this  chapter.  The  first  (Exercises  XL,  XII.,  and 
XIII.)  is  the  more  complete.  In  these  exercises 
the  proportions  between  chlorine  and  copper  in 
each  of  the  two  chlorides  of  copper  is  determined. 
The  second  method  (Exercise  XIV.)  is  less  com- 
plete, but  may  be  adopted  instead  of  the  first 
method  if  time  presses.  The  second  method  con- 
sists in  determining  the  quantities  of  bromine  in 
the  two  bromides  of  mercury.  The  quantity  of 
mercury  in  each  case  is  calculated  by  difference, 
and  the  proportions  between  mercury  and  bromine 
in  the  two  salts  are  then  worked  out. 

First  met!  10 d  of  verifying  the  law  (Exercises 
XL,  XII.,  and  XIII.)  by  the  analysis  of  cuprous 

e  2 


52 


Practical  Proofs  of 


chloride  ana  cupric  chloride. — We  find  how  much 
silver  chloride  is  formed  in  each  case  and  how 
much  subsulphide  of  copper.  If  the  cupric  chlo- 
ride gives  twice  as  much  silver  chloride  as  does 
the  cuprous  chloride  for  the  same  weight  of  sub- 
sulphide  of  copper,  then  it  is  evident  that  for  the 
same  quantity  of  copper  the  amount  of  chlorine 
in  the  cupric  salt  is  twice  the  quantity  in  the 
cuprous  salt.  It  is  not  necessary  to  know  the 
composition  by  weight  of  either  the  subsulphide  of 
copper  or  of  the  chloride  of  silver  for  the  purpose 
of  verifying  the  law. 

The  following  are  the  apparatus  and  materials 
required  for  this  method  of  verifying  the  law  :  — 
Cuprous  chloride,  cupric  oxide  ;  strong,  pure  hydro- 
chloric and  nitric  acids,  large  beaker,  syphon-tube, 
solution  of  silver  nitrate,  flowers  of  sulphur,  vaseline, 
supply  of  hydrogen  or  coal  gas,  and  a  double  set  of 
the  following  apparatus,  if,  as  is  recommended,  the 
two  determinations  be  carried  on  side  by  side,  viz. 
a  250  cb.c.  measuring  flask,  50  cb.c.  pipette,  Rose 
crucible  (if  this  be  not  available  a  clay  tobacco 
pipe  fitted  into  an  ordinary  porcelain  crucible  may, 
according  to  Fresenius,  be  substituted),  a  porcelain 
crucible  and  lid,  an  accurately  cut  funnel  with  angle 
of  6o°,  watch-glass,  beaker,  iron  tripod,  pipe-clay 
triangle,  sand  tray,  evaporating  basin,  holding  more 
than  250  cb.c,  water-bath,  desiccator  containing  lime 
or  caustic  potash,  hollow  glass-rod,  porous  or 
biscuit  porcelain,  packet  of  Swedish  filter  papers, 
stoutest  platinum  wire,  camel-hair  brush,  or,  better, 


Chemical  Laws  53 

a  stiff  black  feather \  glazed  paper,  filter  stand,  drying 
oven  with  thermometer^  wash  bottle,  mortar. 

EXERCISE  XI. — Preparation  of  the  two  chlorides 
of  copper  in  a  state  of  purity. 

Cuprous  chloride. —  (The  pupil  should  be  ac- 
quainted with  the  mode  of  formation  of  this  salt.) 
Take  the  salt  as  obtained  from  the  dealers  (which 
is  not  pure),  dissolve  it  in  a  little  strong,  pure 
hydrochloric  acid,  and  pour  the  clear  solution  into 
a  large  beaker  of  distilled  water.  The  cuprous 
chloride  is  thrown  down  as  a  white  precipitate, 
which  quickly  settles  to  the  bottom  of  the  beaker. 
Syphon  off  the  bluish  solution  as  quickly  as  pos- 
sible ;  the  loss  of  some  of  the  precipitate  does  not 
matter.  Fill  the  beaker  again  with  distilled  water, 
stir  up,  allow  to  settle,  and  syphon  off  again. 
Repeat  the  operation  a  third  time,  to  ensure  that 
the  washings  are  free  from  cupric  salt.  The  pure 
white  cuprous  chloride  which  remains  at  the 
bottom  of  the  beaker  would  readily  oxidise  if 
dried.  No  attempt,  therefore,  is  made  to  dry  and 
weigh  the  substance,  it  being  sufficient  for  our 
purpose  to  determine  the  ratio  of  copper  to  chlorine 
in  an  unknown  weight  of  the  salt.  Immediately 
after  the  last  washing  add  strong  pure  nitric  acid, 
free  from  hydrochloric  acid,  little  by  little  until  the 
salt  has  dissolved.  Make  up  the  volume  of  the 
liquid  to  250  cb.c,  and  label  the  flask  in  which  the 
solution  is  contained.    The  next  step  is  to  deter- 


54 


Practical  Proofs  of 


mine  the  quantity  of  cuprous  sulphide  and  of  silver 
chloride  respectively  which  can  be  obtained  from  two 
equal  measures  (of  50  cb.c.)  drawn  from  the  flask 
with  a  pipette.  Should  anything  occur  to  prevent 
the  successful  completion  of  either  determination, 
another  portion  of  50  cb.c.  could  be  withdrawn  from 
the  flask  and  the  determination  repeated.  Cupric 
chloride  is  analysed  in  the  same  manner ;  the  salt 
is  dissolved  in  water,  without  being  dried  or 
weighed,  the  solution  made  up  to  250  cb.c.  ;  two 
measures  of  50  cb.c.  each  are  taken,  in  one  of  which 
the  copper  is  determined  as  subsulphide,  and  in  the 
other  the  chlorine  is  determined  as  silver  chloride. 
Economy  of  time  is  effected  by  conducting  side  by 
side  the  two  chlorine  determinations,  and  afterwards 
the  two  copper  determinations. 

Cupric  chloride. — To  prepare  pure  cupric  chlo- 
ride, powder  finely  some  pure  black  oxide  of 
copper,  and  roast  it  in  a  porcelain  dish  over  a  Rose 
burner.  Treat  an  excess  of  the  oxide  with  strong, 
pure  hydrochloric  acid  with  the  aid  of  heat ;  pour 
off  from  the  excess  of  oxide,  and  cool  the  hot 
solution  rapidly,  placing  the  boiling  tube  or 
narrow  beaker  in  which  it  is  contained  under  water 
running  from  a  tap,  and  keeping  the  contents  of 
the  vessel  rapidly  stirred  with  a  glass  rod,  when 
the  cupric  chloride  crystallises  out.  Pour  off  the 
liquid  as  completely  as  possible,  and  allow  the 
crystals  to  drain.  Spread  the  crystals  upon  a 
piece  of  porous  porcelain,  and  allow  them  to  dry 
in  a  desiccator  over  quicklime  or  pieces  of  caustic 


Chemical  Laws 


55 


potash.  Dissolve  the  substance  in  water.  If  any 
matter  of  a  bluish-white  colour  remain  undissolved, 
filter  through  Swedish  filter  paper.  Make  up  the 
liquid  to  250  cb.c.  Separate  portions  of  50  cb.c, 
each  can  then  be  used  for  analysis. 

Exercises  XII.  and  XIII.—  The  analysis  of 
the  tzvo  chlorides  of  copper. 

For  the  copper  determination  (Exercise  XII.) 
remove  50  cb.c.  of  the  solution  by  means  of  a 
pipette  and  deliver  it  into  a  small  evaporating 
basin.  Concentrate  .  the  solution  on  a  water-bath 
to  small  bulk.  Weigh  a  Rose  crucible  with  lid, 
finish  the  evaporation  to  dryness  in  the  Rose 
crucible,  which  if  too  small  for  the  rings  of  the 
water-bath  may  be  conveniently  supported  by  a 
pipe-clay  triangle.  When  quite  dry  add  flowers  of 
sulphur,  place  the  perforated  lid  upon  the  crucible, 
connect  up  with  a  slow  stream  of  hydrogen,  and 
after  having  displaced  the  air  from  the  crucible  by 
means  of  the  hydrogen,  heat  the  crucible  gently  at 
first  and  afterwards  more  strongly  with  the  flame 
of  the  Bunsen  burner,  and  finally  with  the  foot- 
blowpipe,  using  not  quite  the  full  blast,  and  discon- 
tinuing the  heating  five  minutes  after  the  flame  of 
sulphurous  acid  or  the  fumes  of  sulphur  have 
ceased  to  be  visible  round  the  lid  of  the  crucible. 
Allow  to  cool  in  the  current  of  hydrogen.  Examine 
the  contents  of  the  crucible,  which  should  contain 
a  dark-coloured,  shining,  crystalline  mass  of  sub- 


56 


Practical  Proofs  of 


sulphide  of  copper  with  no  visible  sulphur  and  no 
red  colour,  which  would  indicate  reduced  copper. 
Weigh  the  crucible  and  lid  with  the  contents. 

For  the  chlorine  determination  (Exercise  XIII.) 
take  up  50  cb.c.  of  the  solution  of  copper  salt  in  a 
pipette  and  deliver  into  a  small  beaker.  In  the 
case  of  the  cupric  chloride  add  a  few  drops  of 
nitric  acid.  Place  the  beaker  on  the  sand-tray, 
cover  the  mouth  of  the  beaker  with  a  watch-glass, 
and  heat  to  boiling  point.  Add  solution  of  silver 
nitrate.  Boil  for  a  few  minutes,  till  the  precipitate 
collects  in  flocks.  Allow  the  precipitate  to  sub- 
side. Add  a  drop  more  solution  of  silver  nitrate. 
If  no  fresh  precipitate  is  produced,  all  the  chlorine 
has  been  thrown  down  as  silver  chloride. 

It  is  important  not  to  add  a  great  excess  of  a 
reagent  for  the  precipitation  of  an  insoluble  com- 
pound ;  on  the  other  hand,  if  too  little  of  the  re- 
agent be  added  at  first,  time  is  lost  by  having  to 
add  a  second  dose.  Whenever  the  pupil  can  form 
an  estimate  of  the  weight  of  a  reagent  required 
for  precipitation,  he  should  use  such  a  volume  of 
the  solution  of  the  reagent  as  contains  a  weight 
slightly  greater  than  is  absolutely  necessary.  The 
reagents  in  a  laboratory  are  made  up  roughly  to  a 
certain  strength  (so  many  grams  to  the  Winchester- 
bottle  of  water),  and  the  pupil  should  be  acquainted 
with  the  strength  of  the  solutions  and  be  able  to 
calculate  approximately  what  weight  of  each  re- 
agent is  contained  in  1  cb.c.  of  the  solution.  It  is 
a  good  plan  to  write  on  the  label  of  each  reagent 


Chemical  Lazvs 


3/ 


bottle  the  number  of  grams  per  Winchester-bottle 
used  in  making  up  the  solution.  Dilute  acids 
should  be  marked  I  :  3,  1  :  5,  &c,  according  to  the 
proportion  of  acid  to  water  which  has  been  used. 

Having  made  sure  that  all  the  chlorine  is  pre- 
cipitated as  silver  chloride,  fit  carefully  a  small 
Swedish  filter  paper  to  a  well-shaped  glass  funnel. 
In  order  to  hasten  the  filtering  it  is  well  to  attach 
to  the  funnel  a  glass  tube  provided  with  one  bend 
in  order  to  create  a  suction.  Before  commencing 
the  filtration  it  is  well  to  ascertain,  by  pouring 
water  on  the  filter  paper,  that  the  paper  is  strong 
enough  to  stand  the  suction.  The  use  of  filtering 
pumps  in  quantitative  experiments  should  not  be 
attempted  until  the  pupil  has  had  experience  in  the 
management  of  filtrations.  Very  slightly  grease 
with  vaseline  a  small  portion  of  the  underside  of 
the  rim  of  the  beaker,  and  pour  the  liquid  down  a 
glass  rod  (made  from  hollow  tubing)  into  the  funnel 
to  about  two-thirds  of  the  height  of  the  filter  paper. 
The  liquid  should  be  poured  so  as  to  fall  on  the 
side  of  the  funnel,  not  into  the  bottom  of  the  cone. 
Have  a  perfectly  clean  beaker  to  catch  the  filtrate, 
since,  although  it  is  intended  to  throw  away  the 
filtrate,  yet  it  is  important  that  if  through  mishap 
some  of  the  precipitate  should  come  through  the 
filter  paper,  this  should  be  recoverable  by  filtering 
again.  When  the  first  charge  of  liquid  has  run 
through,  fill  the  funnel  two-thirds  full  again,  and 
repeat  the  operation  till  the  liquid  above  the  pre- 
cipitate in  the  beaker  has  all  been  poured  off. 


58 


Practical  Proofs  of 


Then  pour  hot  distilled  water  on  the  precipitate 
in  the  beaker  and  boil  up  for  one  or  two  minutes. 
Allow  the  precipitate  to  subside  and  filter  again. 
After  sufficiently  washing  the  precipitate  in  this 
way  (by  '  decantation  '),  bring  the  precipitate  care- 
fully on  the  filter  paper  with  the  aid  of  the  glass 
rod.  The  last  portions  must  be  removed  by  the 
aid  of  a  jet  of  water  from  the  nozzle  of  a  wash- 
bottle.  Having  brought  all  the  precipitate  on  to 
the  filter  paper,  wash  further  with  a  stream  of  hot 
water  from  the  wash-bottle  until  the  washings 
appear  to  be  pure  water,  giving  no  reaction  for 
copper,  for  an  acid,  or  for  silver.  Having  washed 
the  precipitate,  wet  a  piece  of  filter  paper,  and 
place  it  over  the  mouth  of  the  funnel  which  con- 
tains the  precipitate.  Press  the  edges  of  the  filter 
paper  to  the  sides  of  the  funnel  and  tear  so  as  to 
leave  a  circular  portion  of  the  filter  paper  tightly 
stretched  over  the  mouth  of  the  funnel.  Place  the 
funnel  in  a  drying-oven,  or  '  air-bath,'  heated  to  a 
temperature  not  much  exceeding  ioo°  C,  and  leave 
till  dry.  The  temperature  of  the  air-bath  should 
be  ascertained  from  time  to  time  by  reading  the 
thermometer,  which  passes  through  a  cork  fitted  in 
the  opening  at  the  top.  While  the  precipitate  is 
drying,  weigh  a  porcelain  crucible  and  lid.  To 
determine  the  weight  of  the  ash  of  the  filter  paper, 
take  four  to  six  filter  papers  of  the  same  packet, 
wrap  them  tightly  in  a  small  bundle  and  hold  by 
two  turns  of  stout  platinum  wire.  Set  fire  to  the 
bundle  and  burn  so  that  the  ash  will  fall  into  the 


Chemical  Laws 


59 


crucible.  In  order  to  ensure  this  see  that  the 
burning  paper  is  not  exposed  to  draughts.  When 
the  bundle  of  paper  has  ceased  to  glow  tap  the 
wire,  if  necessary,  so  as  to  make  the  bundle  fall 
into  the  crucible.  Strongly  heat  the  crucible, 
placing  the  lid  loosely  on,  till  there  is  no  black 
carbonaceous  material  left  with  the  ash.  Place  the 
crucible  in  a  desiccator,  allow  to  cool,  and  weigh. 
Divide  the  total  weight  of  the  ash  of  four,  or  six, 
filter  papers,  by  the  number  of  papers  used.  The 
quotient  will  be  the  weight  of  ash  of  one  filter  paper 
of  the  packet.  This  weight  should  be  written  on 
the  band  wrhich  holds  the  papers,  and  should  also 
be  entered  in  the  pupil's  note-book.  It  is  not  ad- 
visable to  rely  upon  the  weight  of  ash  printed  on 
the  wrapper.  Having  determined  its  weight,  the 
ash  may  be  thrown  out  of  the  crucible,  and  after 
testing  again  the  weight  of  the  crucible  and  lid, 
the  crucible  may  be  used  in  the  weighing  of  the 
precipitate. 

Take  the  funnel  from  the  oven.  If  no  steam 
is  escaping,  if  the  paper  does  not  stick  to  the  glass, 
and  if  the  precipitate  is  loose  and  crumbling,  the 
substance  is  dry,  and  may  safely  be  removed  from 
the  filter  paper.  The  removal  of  a  dried  precipitate 
from  the  filter  paper  to  the  crucible  is  an  important 
piece  of  manipulation  in  quantitative  analysis.  A 
beginner  should  rehearse  the  manipulation  before  con- 
ducting the  quantitative  analysis.  In  the  previous 
experiments  in  which  silver  chloride  has  been  dealt 
with  the  whole  operation  was  conducted,  without 


6o 


Practical  Proofs  of 


transference,  in  one  vessel.  It  may  probably  be 
assumed  that  transference  is  always  accompanied 
by  loss.  With  the  small  quantities  used  in  ordinary 
chemical  analyses  it  is,  however,  possible  by  proper 
methods  of  manipulation  to  lose  so  little  that  the 
loss  is  inappreciable  with  the  balances  employed. 
If  the  loss  is  too  small  to  affect  the  balance  it  is 
the  same,  so  far  as  numerical  results  are  concerned, 
as  if  there  were  no  loss  at  all.  The  removal  of  a 
precipitate  from  filter  paper  to  crucible  is  a  perfectly 
legitimate  operation  provided  we  are  dealing  with 
small  quantities,  and  can  only  use  a  balance  of 
ordinary  sensitiveness.  In  researches  such  as  those 
of  Stas,  in  which  large  quantities  and  very  delicate 
balances  are  used,  the  processes  are  arranged  so  as 
to  avoid  transference  of  material. 

The  crucible  must  be  placed  upon  a  piece  of 
dark-coloured  glazed  paper  or  upon  a  large  clock- 
glass,  so  that  if  any  substance  be  spilt  it  may  be 
recovered.  Most  of  the  precipitate  on  the  filter 
paper  can  be  made  to  fall  into  the  crucible  by 
scraping  gently  with  a  loop  of  stout  platinum  wire. 
The  remainder  must  be  gently  brushed  off  with  a 
stiff  black  feather,  taking  care  not  to  brush  off  any 
of  the  surface  of  the  filter  paper.  The  paper, 
having  been  freed  as  much  as  possible  from  the 
precipitate,  is  rolled  up  into  a  small  tight  scroll  and 
burnt  over  the  crucible,  being  held  by  one  turn  of 
stoutest  platinum  wire.  It  is  convenient  to  use  a 
piece  of  platinum  wire  sufficiently  long  to  fix  one 
end  on  the  stem  of  an  inverted  glass  funnel,  which 


Chemical  Laws 


61 


serves  for  a  holder,  while  the  paper  is  burning. 
Care  must  be  taken  to  burn  the  carbonaceous 
matter  as  completely  as  possible,  but  the  residue 
should  not  be  very  strongly  heated  on  the  wire,  as 
the  reduced  silver  would  be  apt  to  adhere  to  the 
platinum  instead  of  remaining  in  grains  and  falling 
into  the  crucible  with  the  little  roll  of  ash.  We 
have  now  the  silver  chloride  in  the  crucible.  The 
silver  there  is  just  so  much  of  the  silver  in  the 
silver  nitrate  solution  as  was  needed  to  seize  upon 
and  throw  down  in  the  form  of  silver  chloride  all 
the  chlorine  which  was  originally  combined  with 
the  copper  in  the  50  cb.c.  of  solution  of  the  copper 
salt.  The  rest  of  the  silver  remained  in  solution, 
and  was  washed  away  in  the  filtering  process.  All 
the  chlorine  in  the  50  cb.c.  of  the  solution  was 
thrown  down  as  silver  chloride  ;  but  in  burning  the 
filter  paper  the  organic  matter  will  have  reduced 
to  metallic  silver  so  much  of  the  chloride  as  adhered 
to  the  paper.  It  follows  that  the  material  in  the 
crucible  weighs  less  than  the  silver  chloride 
precipitated,  owing  to  the  fact  that  a  small  quantity 
of  silver  has  been  deprived  of  its  chlorine.  We 
have  verified  by  previous  experiments  the  fact  that 
the  proportion  by  weight  in  which  silver  and 
chlorine  combine  does  not  depend  upon  the  nature 
of  the  reaction  by  which  the  combination  is  brought 
about.  Therefore  by  causing  the  small  quantity  of 
reduced  silver  to  combine  again  with  chlorine  we 
shall  obtain  the  true  weight  of  the  silver  chloride 
which  was  precipitated.     To  effect  this,  moisten 


62 


Practical  Proofs  of 


the  contents  of  the  crucible  with  one  drop  of  pure 
strong  hydrochloric  acid,  heat  very  gently  at  first 
and  afterwards  more  strongly,  but  use  a  small 
flame  of  the  Bunsen  burner,  and  move  the  flame 
about  slowly  so  that  no  part  becomes  very  highly 
heated.  The  lid  is  not  placed  upon  the  crucible 
during  this  operation,  which  can  be  watched  until 
the  substance  begins  to  melt  round  the  edges  of 
the  crucible,  when  the  lamp  should  be  withdrawn. 
Place  the  crucible  in  a  desiccator,  replace  the  lid, 
allow  to  cool,  and  weigh.  From  this  weight  sub- 
tract the  weight  of  crucible  and  lid  plus  the  weight 
of  the  ash  of  one  filter  paper.  The  difference  is 
the  weight  of  the  silver  chloride  formed  from  the 
chlorine  contained  in  50  cb.c.  of  the  solution  of 
copper  salt. 

Example  of  the  calculation  and  mode  of  statement 
of  results. — The  manner  of  stating  the  verification 
of  the  Law  of  Multiple  Proportions  may  be  shown 
by  the  following  example  from  determinations 
conducted  when  rehearsing  the  experiment  to 
ascertain  if  it  were  suitable  to  be  tried  for  teaching 
purposes.  Results  obtained  by  pupils  are  given 
further  on. 

Equal  portions  of  cupric  chloride  solution  gave  '3139  grams  copper 

subsulphide  and  I'H4I  silver  chloride 
Equal  portions  of  cuprous  chloride  solution  gave   -1872  grams 

copper  subsulphide  and  '3351  silver  chloride 
Therefore,  so  much  cupric  chloride  as  would  give  '1872  grains 

copper  subsulphide  would  give  -6644  silver  chloride 


Now 


6644 
3351 


=  1-983  (found)  as  against  2*ooo 


Chemical  Laws 


63 


calculated  on  the  assumption  of  the  Law  of  Multiple 
Proportions.  The  experimental  error  therefore  is 
17  parts  in  2000,  =  —  '85  per  cent.  The  error 
appears  with  the  minus  sign.  If  we  had  taken  the 
weight  of  chloride  as  constant,  and  had  calculated 
the  amounts  of  sulphide,  the  error  would  have  been 
the  same  in  amount  but  opposite  in  sign.  It  is  a 
matter  of  convention  therefore,  but  one  or  other 
system  of  calculation  must  be  adhered  to,  and  the 
sign  (  +  tive  or  — tive)  stated,  if  the  results  of  a 
number  of  determinations  are  to  be  compared. 

For  teaching  purposes  it  may  be  thought  con- 
venient to  have  some  check  upon  the  experiments 
during  the  course  of  the  work.  For  this  purpose 
standard  numbers  may  be  taken  for  the  percentage 
composition  of  the  subsulphide  of  copper,  and  the 
chloride  of  silver,  and  of  the  two  chlorides  of 
copper,  and  the  results  obtained  by  the  pupil  may 
be  compared  with  these  standard  numbers  as  the 
exercises  proceed.  The  two  following  sets  of  ex- 
amples of  results  obtained  by  two  pupils  show  this 
mode  of  statement. 

The  first  pupil  obtained  the  following  results  : — 


Found 

Copper  .  48-00  p.  c. 
Chlorine  .  52*00 


Cupric  Chloride 

Calculated  from 
standard  numbers 


Experimental  error 
calculated  for  chlorine 
+  -82  p.  c.  of  the 


47-18  p.  C. 
52-82  „ 


total  quantity  of 


the  salt  used 


Found 


Cuprous  Chloride 

Calculated  from 
standard  numbers 


calculated  for  chlorine 

+  *57  p.  c.  of  the 


Experimental  error 


Copper  .  64*68  p.  c. 
Chlorine  .  35-32 


64-11  p.  c. 

35-89  „ 


total  quantity  of 


the  salt  used 


64 


Practical  Proofs  of 


Therefore,  by  simple  proportion,  in  cuprous 
chloride,  the  ratio  of  copper  to  chlorine  was  found 
to  be  as  48  :  26*2,  against  48  :  52  in  cupric 
chloride. 

52 


Now 


26-2 


1*985   (found)  as  against  2*000 


required  by  the  Law  of  Multiple  Proportion,  expe- 
rimental error  —  75  per  cent. 

The  second  pupil  obtained  the  following  re- 
sults : — 


Found 
Copper    .  48-04 
Chlorine  .  51*96 


Cupric  Chloride 

Calculated  rroTi 
standard  numbers 

47-18  p.  c. 

52-82  „ 


Found 

Copper  .  64*46  p.  c. 
Chlorine  .    35*54  >> 


Cuprous  Chloride 

Calculated  from 
standard  numbers 
6d '  1 1  p.  C. 
35^9  » 


Experimental  error 
calculated  for  chlorine 

+  -86  p.  c.  of  the 
total  quantity  of 
the  salt  used 


Experimental  error 
calculated  for  chlorine 

+  '35  P-  c-  °f  the 
total  quantity  of 
the  salt  used 


Therefore,  by  simple  proportion,  in  cuprous 
chloride  the  ratio  of  copper  to  chlorine  was  found 
to  be  48*04  :  26*48,  against  48*04  :  51*96  in  cupric 
chloride. 

Now  5— §^  =  1*962  (found)  as  against  2*000 
26*48 

required  by  the  Law  of  Multiple  Proportions, 
experimental  error  — 1*9  per  cent. 

Second  method  of  verifying  the  Law  of  Multiple 
Proportions  {alternative  to  that  of  analysis  of 
chlorides  of  copper}. 


Chemical  Laws 


65 


EXERCISE  XIV '.  —  {Alternative  to  Exercises  XLy 
XII,  and  XIII.),  the  determination  of  the  per- 
centage of  bromine  in  the  two  bromides  of  mercury. 

By  this  exercise  the  Law  of  Multiple  Propor- 
tions can  be  verified  on  the  assumption  that  the 
salts  known  as  mercurous  bromide  and  mercuric 
bromide  are  composed  only  of  the  two  elements 
mercury  and  bromine.  The  pupil  should  be  ac- 
quainted with  the  methods  of  preparation  of  the 
salts.  The  exercise  is  intended  to  furnish  a  shorter 
method  of  verifying  the  law  ;  the  salts  are  not 
prepared  by  the  pupil  but  are  obtained  direct  from 
the  dealers,  by  whom  they  are  supplied  in  a  fairly 
high  state  of  purity.  No  attempt  is  made  to 
determine  directly  the  quantity  of  mercury  ;  it  is 
arrived  at  by  subtracting  the  weight  of  the  bromine 
from  the  weight  of  the  salt.  The  method  of 
determining  the  bromine  volumetrically  has  been 
employed  in  Exercise  IX.,  and  the  composition  by 
weight  of  silver  bromide  was  determined  in  Exer- 
cise V.  Strictly  speaking,  the  pupil  should  make 
use  of  the  numbers  obtained  by  himself  in  Exer- 
cise V.  when  calculating  the  results  of  the  present 
exercise.  In  the  following  account  of  an  experi- 
ment actually  performed,  the  determinations  were 
carried  out  by  a  practised  chemist,  not  by  a  pupil. 
Standard  numbers  were  assumed  for  the  composi- 
tion of  silver  bromide. 

Account  of  an  actual  experiment,  as  conducted. — 
A  strong  solution  of  caustic  potash  containing 

F 


66 


Practical  Proofs  of 


about  20  per  cent,  was  used  for  the  decomposition 
of  the  salts.  The  sample  was  free  from  admixture 
of  chloride.  Mercurous  bromide,  I  gram,  was  weighed 
out  and  covered  with  20  cb.c.  of  the  caustic  potash 
solution  in  a  small  porcelain  dish,  and  warmed  on 
the  water-bath  for  half  an  hour.  The  decomposi- 
tion, however,  was  almost  immediate.  Water 
was  added  to  dilute  further  the  caustic  alkali,  the 
liquid  was  filtered,  and  the  filtrate  made  up  to  a 
volume  of  250  cb.c.  The  mercury  is  all  left  on  the 
filter  paper  as  oxide,  &c,  and  all  the  bromine  is  in 
the  filtrate  as  potassium  bromide.  In  the  filtrate 
the  bromine  was  determined  volumetrically  by 
exactly  neutralising  20  cb.c.  with  pure  nitric  acid, 
free  from  chloride,  and  titrating  with  a  solution  of 
silver  nitrate  of  known  strength,  using  potassium 
chromate  as  an  indicator  (see  Exercises  VIII.  and 
IX.).  Two  determinations  gave  the  weight  of 
bromine,  calculated  for  the  whole  250  cb.c.  as 

1st  determination     .        .        .     '283  grams  bromine 
2nd                        .        .  '284 
Mean  -2835 

The  weight  of  mercurous  bromide  was  exactly 
I  gram,  therefore  the  composition  of  the  salt  is  : — 

Calculated  from 
Found  standard  numbers 

Bromine     .        .    28*35  p.  c.  28-57  p.  c. 

Mercury     .        .    71*65  exp.  error  —  *22  p.  c. 

In  the  analysis  of  the  mercuric  bromide,  1  gram  of 
the  salt  was  weighed  out  and  dissolved  in  about 
100  cb.c.  of  boiling  water.    Twenty  cb.c.  of  the 


Chemical  Laws 


67 


solution  of  caustic  potash  was  added,  the  mercury 
being  thrown  down  from  solution  in  the  form  of 
the  red  oxide.  The  liquid  was  then  filtered  from 
the  precipitated  oxide,  Swedish  filter  paper  being 
used.  If  a  small  quantity  of  the  precipitate  should 
have  passed  through  the  filter  paper  the  titration 
could  still  have  been  proceeded  with,  as  the  pre- 
cipitate quickly  settles  to  the  bottom  of  the 
measuring  flask.  The  filtrate  was  neutralised  as 
in  the  last  experiment,  the  volume  made  up  to 
250  cb.c.,  and  20  cb.c.  were  titrated  with  the  same 
solution  of  silver  nitrate  as  was  used  for  the 
mercurous  bromide. 

The  weight  of  bromine  found  in  three  determi- 
nations was  :  — 

•446  grams  bromine 

•  *443 

•  *437 

•  *442 

The  weight  of  the  mercuric  bromide  was  exactly 
1  gram,  therefore  the  composition  of  the  salt  is  : — 

Calculated  from 
Found  standard  numbers 

Bromine   .        .        .44*2  p.  c.  44-4  p.  c. 

Mercury   .       ,       .    55-8  p.  c.       exp.  error  -  "20  p.  c. 

Mode  of  stating  the  above  results  as  a  verification 
of  the  Law  of  Multiple  Proportions. 

In  mercuric  bromide  55*8  mercury  are  combined  with  44*2  bromine 
In  mercurous  71-65  „  28*35  >> 

Therefore,  in  mercuric  bromine  71*65  mercury  are  combined  with 
56*75  bromine 

F  2 


1st  determination 

2nd 

3rd 

Mean 


68  Practical  Proofs  of 

Now  ===2'CK)2  (found)  as  against  2-ooo 

calculated  on  the  assumption  of  the  Law  of  Multiple 
Proportions.  The  experimental  error  is  therefore 
+  *i  per  cent. 

Note  upon  early  experiments  relating  to  the  Laiv 
of  Multiple  Propoi'tions  and  upon  Stas  criticisms  of 
these  experiments. 

The  results  obtained  by  chemists  in  the  earlier 
part  of  the  century  were  for  the  most  part  less 
nearly  exact  than  those  given  above. 

Dalton,  '  New  System  of  Chemical  Philosophy,' 
p.  318,  quotes  in  support  of  the  law  the  following 
values  obtained  by  Sir  Humphry  Davy  for  the 
composition  by  weight  of  two  oxides  of  nitrogen  : — 

Nitrogen  Oxygen 
Nitric  oxide  .        .      5-3  7 

Nitrous  oxide    .        .        .11  "46  7 

Now  l_L4^=2*l6  (found)  as  against  too  re- 
quired by  the  Law  of  Multiple  Proportions,  the 
experimental  error  is  therefore  +  8  per  cent. 
Dalton's  own  results  for  the  hydrocarbons  and  for 
the  oxides  of  carbon  are  even  further  from  the 
numbers  required  by  the  law. 

The  results  obtained  by  Berzelius  are  more 
nearly  exact.  Thus,  e.g.,  he  found  the  ratio 
between  the  quantities  of  the  base  in  the  sub- 
arsenite  and  arsenite  of  lead  to  be  as 

I  :  1  -974  exp.  error  -  1  -3  p.  c. 


Chemical  Laws 


69 


and  he  found  the  oxygen  in  chromic  oxide  and 
chromic  acid  to  be  as 

1  :  2*062  exp.  error  +3'i  p.  c. 

Probably  chemists  were  influenced  in  their  ac- 
ceptance of  the  Law  of  Multiple  Proportions  upon 
results  so  rough  by  the  circumstance  that  it 
suggested  a  ready  explanation  (that  of  chemical 
atoms)  of  the  better  established  law  of  definite, 
fixed  proportions.  Stas  remarks  in  the  introduc- 
tion to  his  1  Nouvelles  Recherches  sur  les  Lois  des 
Proportions  Chimiques/  that  chemists  and  physi- 
cists have  long  been  in  the  habit  of  crediting  the 
existence  of  a  simple  mathematical  relation  when- 
ever phenomena  present  an  appearance  of  regu- 
larity. This  prejudice,  he  says,  leads  them  to  ascribe 
observed  deviations  ivholly  to  experimental  error, 
and  he  cites  the  case  of  the  hypothesis,  called 
1  Prout's,'  that  the  weights  of  all  chemical  atoms  are 
exact  multiples  of  the  weight  of  the  hydrogen 
atom.  Stas  verified  the  Laws  of  Definite,  of  Con- 
stant,  and  of  Equivalent  Proportions,  as  well  as  the 
Law  of  Conservation  of  Mass,  but  did  not  examine 
the  Law  of  Multiple  Proportions  considered  as 
Lot  mathematique  and  not  merely  as  Lot  limitee. 
Although  the  discovery  of  the  Law  of  Multiple  Pro- 
portions may  have  suggested  Dalton's  atomic  theory, 
Stas  considers  (Joe.  czt.,  p.  60  of  the '  Mem.  de  Y  Acad. 
Roy.  Belg.,  vol.  xxxv.,  1865)  that  chemists  have 
relied  more  upon  the  definite  and  constant  propor- 
tions of  chemical  combination  as  evidence  of  the 
truth  of  Dalton's  theory. 


7o 


Practical  Proofs  of 


CHAPTER  VII 

THE  LAW  OF  SIMPLE  VOLUMETRIC  PROPORTIONS 
IN  THE  CHEMICAL  REACTIONS  OF  GASES 

Upon  the  molecules  of  gases. — The  development 
of  the  modern  theory  of  chemical  atoms  and 
chemical  molecules  from  Dalton's  atomic  theory 
commenced  with  the  discovery  of  a  relation  be- 
tween Dalton's 'chemical  atoms'  and  the  'molecules' 
of  gases.  The  molecule  of  a  gas  is  defined  by 
physicists  as  '  a  small  mass  of  matter,  the  parts  of 
which  do  not  part  company  during  the  excursions 
which  the  molecule  makes  when  the  body  to  which 
it  belongs  becomes  hot '  (Clerk  Maxwell,  '  Theory 
of  Heat,'  6th  edition,  p.  305).  This  physical 
definition  is  independent  of  chemical  considerations. 
It  appears  from  purely  physical  facts  that  the 
number  of  molecules  in  a  given  volume  is  the  same 
for  all  gases  at  the  same  temperature  and  pressure 
(Joe.  city  pp.  3°l-3l7)- 

The  researches  of  Gay-Lussac  ('Mem.  Soc. 
d'Arcueil,'  vol.  ii;,  1809,  reprinted  by  the  Alembic 
Club,  '  Reprints,'  No.  4)  showed,  within  fairly  wide 
limits  ol  experimental  error,  that  the  volumes  of 
gases  which    react    chemically  together   bear  a 


Chemical  Laws 


simple  ratio,  or  proportion,  to  one  another^ 
Chemists  were  at  first  inclined  to  infer  from  this 
that  the  chemical  '  ultimate  particles  '  or  '  atoms  ' 
of  gases  are  identical  with  the  physical  '  molecule.' 
Further  examination  of  the  matter  showed  that  in 
the  case  of  most  chemical  elements  in  the  gaseous 
state,  this  could  not  be  so.  We  shall  return  to 
this  point  after  formally  stating  Gay-Lussac's 
'  Laws  of  Volume  '  in  a  condensed  form  ;  merely 
stating  here  that  the  conclusion  arrived  at  has  been 
that  the  molecule  of  a  compound  gas  is  identical 
with  Dalton's  ultimate  particle  or  reacting  unit, 
but  that  in  the  case  of  elementary  gases  the 
molecule  may  contain  one  or  more  chemical  atoms. 
Most  of  the  common  elementary  gases  (e.g.  hydro- 
gen, oxygen,  nitrogen,  and  chlorine)  have  two 
atoms  in  the  molecule.  The  following  is  a  con- 
densed statement  of  the  Laws  of  Simple  Volu- 
metric Proportion  :  The  volume  of  an  element  in 
the  gaseous  state  bears  a  simple  proportion  to  the 
volume  of  the  compound  gas  of  which  it  is  a  con- 
stituent. From  this  statement  it  would  follow  as  a 
corollary  : — 

Corollary  I. —  The  volumes  of  the  gaseous  constitu- 
ents of  a  compound  gas  bear  a  simple  proportion 
to  one  another. 

It  may  be  further  deduced  (assuming  the  laws 
of  definite  and  of  constant  proportions)  that  the 
volumes  of  the  combining  or  equivalent  weights  of 
gaseous  substances  bear  a  simple  proportion  to  one 
another,  or,  as  it  may  be  stated  : — 


72 


Practical  Proofs  of 


Corollary  II.  —  The  relative  densities  of  gases 
stand  in  a  simple  ratio  to  their  chemical  equi- 
valents. 

This  relation  was  experimentally  observed 
about  the  same  time  that  the  laws  of  volumetric 
proportions  were  discovered.  In  the  case  of  the 
elementary  gases  the  corollary  may  be  expressed  by 
saying  that  the  relative  densities  stand  in  a  simple 
ratio  to  the  relative  weights  of  the  atoms. 

Having  now  explained  the  connection  between 
Gay-Lussac's  volumetric  laws  and  the  gravimetric 
laws  which  formed  the  foundation  of  Dalton's 
theory,  we  pass  on  to  describe  an  experimental 
verification  of  the  law  of  simple  volumetric  pro- 
portion. 

EXERCISE  XV. —  The  determination  of  the  volume 
of  nitrogen  obtained  by  the  decomposition  of  a 
knoivn  volume  of  ammonia} 

The  reaction  employed  is  the  decomposition  of 
ammonia  gas,  contained  in  a  graduated  tube,  by  a 
solution  of  sodium  hypobromite,  the  hydrogen  of 
the  ammonia  being  oxidised  and  the  nitrogen  set 
free.  The  pupil  should  acquaint  himself  with  the 
preparation  and  properties  of  the  hypobromites 
(and  hypochlorites),  and  with  the  evidence  showing 

1  This  experiment  is  described  by  Professor  Ramsay  in  his 
Experimental  Froofs  of  Chemical  Theory \  from  which  it  is  taken 
with  his  permission.  The  directions  for  performing  the  experiment 
have  been  to  some  extent  modified  in  accordance  with  the  present 
writer's  experience. 


Chemical  Laws 


73 


that  ammonia  consists  wholly  of  nitrogen  and 
hydrogen. 

Apparatus  and  materials  required.  —  Strong 
solution  of  ammonia  ('  liq.  amm.  fort.'),  bromine 
(not  bromine- water),  solid  caustic  soda,  dilute  acetic 
acid,  retort  stand  with  rings  and  clamp,  sand  tray, 
two  flasks,  wide-mouthed  bottle,  or  Woulff's  bottle, 
three  corks,  or  rubber  stoppers,  glass  tubing  and 
connecting  rubber  tubing,  graduated  gas-measuring 
tube  of  50  to  100  cb.c.  capacity,  not  too  wide  to 
close  with  the  thumb,  and  the  narrower  the  better 
a  basin  in  which  to  invert  the  tube  (a  small  pudding- 
basin  or  a  clean  glass  mortar  is  more  convenient 
than  the  ordinary  shallow  evaporating  basin),  a 
thermometer,  a  large  and  deep  vessel,  or  a  pneumatic 
trough  deep  enough  to  immerse  the  graduated 
tube. 

Before  proceeding  to  the  actual  experiment,  it 
is  well  that  the  pupil  should  rehearse  the  operations 
of  closing  the  tube,  placing  under  water,  shaking 
the  tube,  &c,  in  order  to  make  sure  that  he  is 
master  of  the  manipulation.  A  dish  containing 
water  to  which  a  little  acetic  acid  has  been  added 
should  be  at  hand  when  the  experiment  is  being 
conducted.  After  the  hand  has  been  immersed  in 
the  caustic  soda  solution  it  should  be  immediately 
and  thoroughly  washed  in  the  basin. 

Pireparation  of  sodium  hypobromide. — Make  up 
a  strong  solution  of  caustic  soda  in  a  flask.  In 
order  to  judge  of  the  volume  which  will  be  required, 
pour  into  the  pudding-basin  (or  glass  mortar)  as 


74 


Practical  Proofs  of 


much  water  as  will  cover  the  thumb  to  the  depth 
of  an  inch  when  the  hand  is  put  into  the  water  in 
the  position  required  for  inverting  the  tube  in  the 
experiment.  The  volume  of  the  caustic  soda 
solution  required  will  be  from  50  to  100  cb.c. 
more  than  this.  The  flask  should  be  corked  while 
the  solution  is  proceeding,  and  the  flask  should  be 
cooled  under  the  tap  before  adding  the  bromine. 
Add  the  bromine  gradually  to  the  cooled  solution 
in  the  draught  chamber,  agitating  the  flask  till  the 
heavy  red  liquid  has  dissolved  in  the  soda  solution, 
and  then  adding  more  bromine.  The  temperature 
may  be  kept  low,  if  necessary,  by  putting  the  flask 
under  the  tap.  The  formation  of  the  hypobromite 
is  accompanied  by  change  to  a  greenish-yellow 
colour.  Ten  cb.c.  of  bromine  may  be  used  to 
300  cb.c.  of  caustic  soda  solution.  If  50  cb.c.  of  the 
solution  enter  the  tube  during  the  reaction,  the 
amount  of  bromine  (in  the  form  of  hypobromite) 
entering  the  tube  would  be  largely  in  excess  of  the 
amount  used  up  in  the  decomposition  of  100  cb.c. 
of  ammonia  gas.  A  large  excess  of  hypobromite 
greatly  hastens  the  reaction,  whereas,  if  the  solution 
of  hypobromite  be  a  weak  one,  the  last  part  of 
the  reaction  goes  very  slowly  and  the  experi- 
ment cannot  be  completed  within  a  reasonable 
time. 

To  fill  the  tube  with  a nni  10 uia  gas,  warm  gently 
some  strong  ammonia  solution  in  a  small  flask 
fitted  with  a  one-way  cork.  The  gas  should  be 
passed  through  a  dry  flask  or  a  Woulff's  bottle,  in 


Chemical  Laws 


75 


which  may  be  put  some  cotton  wool  to  retain  drops 
of  moisture,  or  lumps  of  quick-lime  may  be  em- 
ployed for  the  same  purpose.  Collect  the  gas  by 
upward  displacement  in  the  graduated  tube.  The 
delivery  tube  should  reach  nearly  to  the  top  of  the 
graduated  tube,  which  must  be  dry.  After  use  in 
the  experiment  the  tube  should  be  dried,  before 
using  again,  by  warming  and  blowing  air  through 
from  the  bellows.  It  is  convenient,  however,  to 
have  more  than  one  tube  and  to  start  two  or  three 
experiments  without  waiting  for  the  completion  of 
the  first.  The  precautions  taken  as  to  dryness  are 
designed  to  exclude  drops  of  moisture,  which  would 
hold  in  solution  relatively  large  quantities  of 
ammonia  gas  and  would  vitiate  the  results.  As 
the  tube  is  open  to  the  air  the  gas  will  not,  pre- 
sumably, be  dry  in  the  more  precise  sense  of  the 
term,  but  will  contain  vapour  of  water.  The  stopper 
of  a  bottle  of  hydrochloric  acid  brought  near  to, 
and  a  little  above,  the  mouth  of  the  graduated  tube 
will  show  by  forming  white  fumes  when  the  tube 
is  practically  filled  with  ammonia  gas.  The 
evolution  of  gas  should  be  allowed  to  continue  for 
some  time  afterwards.  Observe  the  temperature 
of  a  thermometer  suspended  near  the  tube.  Finally 
raise  the  graduated  tube  very  slowly,  so  that  the 
entering  gas  may  fill  the  space  previously  occupied 
by  the  narrow  delivery  tube.  The  tube  should  be 
held  in  a  twist  of  paper,  or  a  glove  should  be  worn, 
lest  the  heat  of  the  hand  should  expand  the  gas. 
Close  the  mouth  of  the  tube  firmly  with  the  thumb 


76 


Practical  Proofs  of 


and  plunge  the  tube  mouth  downwards  to  the 
bottom  of  the  basin  which  has  been  filled  to  a 
sufficient  depth  with  the  solution  of  caustic  soda 
and  hypobromtte.  Remove  the  thumb,  keeping 
the  .tube  upright.  The  liquid  rushes  into  the  tube 
and  effervescence  takes  place.  Clamp  the  tube  in 
the  upright  position  ;  watch  and  make  notes  of  the 
progress  of  the  reaction.  The  large  excess  of 
caustic  soda  retards  the  absorption  of  ammonia  by 
the  liquid.  After  the  first  violence  of  the  reaction 
is  over,  most  of  the  chemical  change  appears  to 
take  place  near  the  surface  of  separation  between 
the  liquid  and  the  gas.  If  the  liquid  be  de- 
colorised to  a  small  depth,  this  indicates  that  the 
hypobromite  has  been  deoxidised  in  this  part  of 
the  tube.  In  this  case  the  action  mainly  takes 
place  at  the  upper  surface  of  the  coloured  liquid, 
as  may  be  seen  by  noticing  the  level  from  which 
the  bubbles  of  (nitrogen)  gas  rise.  The  rise  or  fall 
of  the  level  of  the  liquid  at  any  particular  time 
depends  upon  whether  the  absorption  of  ammonia 
or  the  evolution  of  nitrogen  is  proceeding  the  more 
rapidly.  The  liquid  may,  for  instance,  rise  two- 
thirds  or  more  up  the  tube  and  finally  sink  to  one- 
half  way  up.  When  the  action  becomes  slow  the 
tube  may  be  shaken  from  side  to  side,  taking  care 
to  keep  the  bottom  of  the  tube  safely  under  the 
liquid  in  the  basin.  If  time  presses,  the  tube  may 
even  be  closed  with  the  thumb  and  the  contained 
liquid  and  gas  be  agitated  together.  If  this  be 
done  the  liquid  should  be  agitated  in  such  a  way 


Chemical  Laws 


77 


that  the  thumb  remains  covered  by  it.  When  no 
more  bubbles  of  gas  come  off,  close  the  tube  with 
the  thumb  under  the  surface  of  the  liquid  in  the 
basin  and  transfer  the  tube  to  the  large  and  deep 
vessel  of  water,  the  temperature  of  which  should 
be  brought  to  an  equality  with  the  temperature 
registered  by  the  thermometer  which  was  sus- 
pended near  the  graduated  tube  when  the  ammonia 
was  being  collected.  After  the  measuring  tube  has 
remained  in  the  water  for  five  or  ten  minutes,  raise 
it  until  the  level  of  the  water  is  the  same  inside 
the  tube  and  outside,  and  read  off  the  volume  of 
the  gas  to  the  bottom  of  the  meniscus.  The  tube 
should  be  held  by  a  clip  or  by  a  twist  of  paper, 
not  by  the  unprotected  hand,  lest  the  heat  of  the 
hand  should  cause  the  gas  to  expand. 

Example  of  the  calculation  and  mode  of  statement 
of  results.— A  senior  student  obtained  the  follow  ing 
results  from  two  experiments  which  were  completed 
in  2\  hours,  using  two  tubes  of  different  sizes.  The 
first  tube  had  been  dried  and  was  being  used  again 
for  a  third  experiment,  which  was  not  quite  com- 
pleted at  the  end  of  the  2\  hours.  The  apparatus 
had  been  got  together  and  fitted  upon  the  previous 
day.  First  experiment^  done  with  a  rather  wide 
measuring-tube  graduated  in  \  cubic  centimetres. 
The  divisions  not  being  continued  to  the  open  end 
of  the  tube,  the  distance  from  the  last  division  to 
the  end  of  the  tube  was  measured,  and  found  to  be 
equal  in  length  to  15  of  the  cubic  centimetre 
divisions.    The  volume  of  the  tube  was  therefore 


7§ 


Practical  Proofs  of 


taken  to  be  115  cb.c.  The  results  were  as  fol- 
lows : — 


Ratio  58  :  115  =  1  :  1*983  (found)  as  against 
2*000  which  is  the  nearest  simple  ratio.  The 
experimental  error  is  therefore  —'85  per  cent. 
The  minus  sign  indicates  that  the  volume  of 
nitrogen  was  found  to  be  more  than  one  half  the 
volume  of  the  ammonia. 

Second  experiment^  done  with  a  narrow  eudio- 
meter tube  graduated  in  millimetres.  The  volume 
of  the  ungraduated  part  at  the  upper  end  of  the 
tube  was  known  to  be  equal  to  3  of  the  m.m. 
divisions.  The  number  of  m.m.  divisions  was  250, 
and  the  length  from  the  last  m.m.  division-mark  to 
the  open  end  of  the  tube  was  found  to  be  57*5  m.m. 
The  volume  of  the  tube  was  therefore  reckoned 
to  be  3  +  250+57*5  =  310*5.  For  the  purpose  of 
the  experiment  it  is  not  necessary  to  know  the 
actual  volume  of  one  division.  The  results  were  as 
follows  : — 

Volume  of  ammonia     .        .        .  .310*5 
nitrogen      .       .       .  .154 

Ratio  154  :  310-5  —  1  :  2-oi6. 

The  experimental  error  is  therefore  +  '8  per 
cent.,  the  volume  of  nitrogen  being  found  to  be 
slightly  less  than  one  half  the  volume  of  ammonia. 

Note  upon  early  experiments  relating  to  the  law 
of  simple  volumetric  ratios,  or  proportions. — Gay- 
Lussac,  calculating  from  H.  Davys  analyses,  finds 


Volume  of  ammonia  . 

nitrogen  . 


Chemical  Laws 


79 


the  volumetric  proportions  in  the  oxides  of  nitrogen 
to  be  as  follows.  The  numbers  given  in  the  last 
column  show  how  fa  rthese  results  depart  from 
the  numbers  required  to  give  the  nearest  simple 
ratios. 


Nitrogen 

Oxygen 

Error 

Nitrous  oxide 

IOO 

49 '5 

I  p.  C. 

Nitric  oxide  . 

IOO 

108-5 

8-5  ., 

Nitrogen  peroxide . 

IOO 

2047 

2-35  » 

Dalton's  nearest  result  for  the  volumetric  composi- 
tion of  water  vapour  was  : — 


Oxygen 

Hydrogen 

Error 

Water  (vapour) 

IOO 

197 

i  -5  p.  c. 

These  are  examples  of  the  results  upon  which  the 
law  was  accepted  by  chemists. 

Of  recent  years  the  volumetric  composition  of 
water  has  been  carefully  determined  by  Scott,  who 
finds  the  ratio  to  be  1*9965,  which  confirms  the 
law  to  within  *i8  per  cent. 

Upon  the  relation  of  the  {physical)  molecule  of 
nitrogen  gas  to  the  {chemical)  atom  of  the  element 
nitrogen, — Exercise  XV.  not  only  confirms  the  law 
of  simple  volumetric  proportions  but  affords  evi- 
dence as  to  the  relation  between  the  molecule  of 
nitrogen  gas  and  the  chemical  atom  of  the  element. 
Equal  volumes  of  nitrogen  and  ammonia  contain, 


8o 


Practical  Proofs  of 


according  to  the  physical  theory,  an  equal  number 
of  molecules.  It  was  found  in  Exercise  XV.  that 
ammonia  when  decomposed  yields  half  its  volume 
of  nitrogen.  There  are,  therefore,  only  half  as 
many  nitrogen  molecules  as  there  were  molecules 
of  ammonia.  It  follows  that  each  molecule  of 
nitrogen  gas  has  received  a  contribution  of  nitrogen 
from  tivo  molecules  of  ammonia.  If  the  molecule 
of  ammonia  contain  only  one  chemical  atom  of 
nitrogen,  then  the  molecule  of  nitrogen  gas  con- 
tains two  chemical  atoms,  and  no  more.  It  would 
lead  us  too  far  to  discuss  the  evidence,  which 
appears  to  show  that  the  molecule  of  ammonia 
contains  only  one  chemical  atom  of  nitrogen. 

According  to  the  view  at  first  adopted  by 
chemists,  that  the  chemical  atom  of  an  elementary 
gas  was  identical  with  the  molecule,  it  would  follow 
that  no  compound  (such  as  ammonia)  could  yield 
less  than  its  own  volume  of  any  gaseous  constituent 
(such  as  nitrogen).  Experiments  such  as  that  in 
Exercise  XV.  show  that  the  ultimate  particles  of 
an  elementary  substance,  even  in  the  attenuated 
form  of  a  gas,  may  consist,  like  those  of  compound 
bodies,  of  two  or  more  chemical  atoms  united 
together.  The  properties  of  an  elementary  sub- 
stance constituted  in  this  manner  depend  upon  the 
properties  of  a  group  of  chemical  atoms.  The 
atoms  of  nitrogen  appear  to  be  firmly  united  in 
the  molecule  of  nitrogen  gas,  and  this  two-atom 
group  shows  little  chemical  activity  ;  it  does  not 
readily  take  part  in  chemical  reactions.  Nitrogen 


Chemical  Laws 


81 


atoms  in  many  chemical  compounds,  on  the  other 
hand,  readily  take  part  in  reactions.  Under  some 
conditions,  therefore,  the  atom  of  nitrogen  is 
chemically  active,  although,  when  it  is  joined  up  to 
a  second  atom  of  its  own  kind  in  nitrogen  gas,  it 
is  chemically  inert.  The  learner  must  be  upon 
his  guard  against  the  confusion  which  sometimes 
arises  from  the  promiscuous  use  of  the  phrase  '  the 
properties  of  nitrogen,'  or  *  the  properties  of 
oxygen,'  to  denote  either  the  properties  of  nitrogen 
gas  (or  oxygen  gas),  or  the  properties  of  the 
chemical  atom  of  the  element. 

Upon  the  relative  weights  of  the  chemical  atoms  ; 
upon  the  choice  of  a  unit  to  which  the  weights  of  the 
atoms  are  referred  ;  and  upon  Front's  hypothesis. — 
The  study  of  the  densities  of  gases  and  of  the 
volumetric  proportions  in  which  gases  react,  showed 
that  chemical  elements  do  not  always  unite  atom 
for  atom,  but  that  the  atom  of  one  element  may  be 
equivalent  to  more  than  one  atom  of  another 
element.  Now  in  the  case  of  hydrogen,  we  do  not 
know  of  an  instance  in  which  the  atom  is  equiva- 
lent to  more  than  one  atom  of  another  element. 
Further,  the  equivalent  weight  of  hydrogen  is  less 
than  that  of  any  other  known  element.  It  ap- 
peared, therefore,  to  be  logical  and  convenient  to 
choose  the  equivalent  weight  of  hydrogen  as  unity 
(or  1  weight  I  ')  in  tables  of  equivalent  weights, 
and  also  to  choose  the  weight  of  the  atom  of 
hydrogen  as  unity  in  the  table  of '  atomic  weights/ 
i.e.  the  table  expressing  the  relative  weights  of  the 

G 


82  Practical  Proofs  of 


chemical  atoms.  Thus,  if  the  atoms  of  chlorine, 
oxygen,  nitrogen,  and  carbon  combine  respectively 
with  one,  two,  three,  and  four  atoms  of  hydrogen, 
we  have  the  following  numbers  : — 


(as  given 

Equivalent  weights 

by  standard  determinations) 

Multiplied  by 

Atomic 
weights 

Hydrogen 

I 

I 

I 

Chlorine 

35  '37 

I 

35  "37 

Oxygen 

7-98 

2 

15-96 

Nitrogen 

4-67 

3 

14-01 

Carbon 

2  "992 

4 

1 1 '97 

It  would  be  beyond  the  scope  of  this  book  to 
discuss  in  detail  the  considerations  which  assist  in 
the  determination  of  the  multiple  of  the  equivalent 
weight  which  gives  the  atomic  weight.  The  most 
important  consideration  is  the  weight  of  the  element 
in  the  molecules  of  its  gaseous  compounds.  The 
determination  of  the  density  of  a  compound  gas 
gives  the  weight  of  its  molecule,  and  analysis  gives 
the  per  cent,  of  this  weight  which  is  due  to  the 
element  in  question.  The  smallest  weight  of  the 
whole  of  an  element  present  in  the  molecule  of  any 
of  its  compounds,  or,  the  least  difference  between 
the  weights  of  the  element  present  in  the  molecules 
of  its  compounds  gives  a  probable  value  for  the 
atomic  weight. 

Hydrogen  is  the  lightest  gas  known,  and  its 
molecule  contains  two  atoms.  It  appears,  there- 
fore, to  be  logical  to  reckon  the  density  of  hydrogen 
as  the  unit  in  the  table  of  the  relative  density  of 


Chemical  Laws 


83 


gases.  If  a  gas  is  stated  to  have  a  density  of  20, 
we  mean  that,  bulk  for  bulk,  it  is  twenty  times  as 
heavy  as  hydrogen  gas,  and  that  its  molecule  is 
twenty  times  as  heavy  as  the  molecule  of  hydrogen, 
and  forty  times  as  heavy  as  the  atom  of  hydrogen. 
The  molecular  weight  of  such  gas  is  said  to  be  40, 
i.e.  the  weight  of  the  ATOM  of  hydrogen  is  taken  as 
the  unit  in  the  table  of  MOLECULAR  weights  as  well 
as  in  that  of  atomic  weights. 

There  are,  however,  practical  objections  to  the 
logical  system  of  reckoning  the  atom  of  hydrogen 
as  the  unit  weight.  Few  of  the  equivalent  (and 
hence  of  the  atomic)  weights  are  directly  determined 
relatively  to  that  of  hydrogen,  whereas  a  great 
number  are  determined  relatively  to  that  of  oxygen, 
as,  for  instance,  by  converting  a  metal  into  its 
oxide  or  reducing  an  oxide  to  metal.  The  result 
of  each  such  experiment  has  to  be  combined  with 
the  determination  of  the  combining  proportion  of 
hydrogen  and  oxygen  in  order  to  calculate  the 
equivalent,  or  the  atomic,  weight  of  the  element  in 
question  in  terms  of  that  of  hydrogen.  Thus  any 
alteration  in  the  received  experimental  numbers 
for  the  composition  by  weight  of  water  alters  a  very 
large  proportion  of  the  numbers  expressing  atomic 
weights.  This  is  highly  inconvenient,  as  the  com- 
bining proportion  of  oxygen  and  hydrogen  is 
difficult  to  determine  with  great  precision,  and  as 
successive  experiments  are  constantly  giving 
slightly  different  numbers. 

The  atomic  weight  of  oxygen  is  about  16 


84 


Practical  Proofs  of 


times  that  of  hydrogen.  (Lothar  Meyer  and 
Seubert's  tables  give  15*96,  Clarke's  tables  give 
15-963  as  the  most  likely  value).  Probably  the 
best  plan  to  adopt  {vide  Ostwald's  ' Outlines  of 
General  Chemistry/  pp.  14-15)  is  to  take  the 
atomic  weight  of  oxygen  as  the  standard  of 
reference,  giving  to  it  the  number,  not  of  unity,  but 
16.  New  determinations  of  the  composition  by 
weight  of  water  will  then  only  affect  the  precise 
number  for  hydrogen,  which  at  present  stands  on 
the  above  system  at  1*0032,  leaving  the  other 
atomic  weights  practically  unaffected.  When  this 
plan  is  adopted  it  is  usual  to  state  that  the  atomic 
weights  are  given  in  terms  of 

O  =  16 

The  learner  must  bear  in  mind  that  this  is  simply 
a  mode  of  statement  adopted  for  convenience  ;  it 
does  not  mean  that  approximate  numbers  arc  em- 
ployed, as  when  we  say  that  the  weight  of  the 
oxygen  atom  is  about  sixteen  times  the  weight  ot 
the  hydrogen  atom.  Further,  it  does  not  mean 
that  any  assumption  is  made  that  the  weight  of  the 
oxygen  atom  is  really  an  exact  multiple  of  the 
weight  of  the  hydrogen  atom. 

P routs  hypothesis. — Not  long  after  the  publica- 
tion of  Dalton's  atomic  theory  many  chemists 
inclined  to  the  view  that  there  existed  a  relation, 
or  law,  among  the  atomic  weights  similar  in  form 
to  Dalton's  law  of  multiple  proportions.  This 
idea,  which  has  appeared  in  several  modifications, 


Chemical  Lazvs 


85 


is  best  known  as  Front's  hypothesis.  The  simplest 
and  most  important  form  of  the  hypothesis  sup- 
poses that  the  weight  of  all  the  atoms  are  whole 
multiples  of  the  weight  of  the  atom  of  hydrogen. 

This  simple  relation  has  not  been  proved. 

The  examination  of  a  table  of  atomic  weights 
shows,  however,  that  there  are  many  more  than 
half  of  the  elements  whose  atomic  weights  are 
within  ±  I  of  whole  multiples  of  the  atomic  weight 
of  hydrogen.  There  is  a  tendency  to  approximate 
towards  whole  numbers,  but  this  does  not  show 
that  there  is  any  simple  mathematical  law  such  as 
regulates  the  combining  proportions  of  the  ele- 
ments. 

There  has  been  a  prepossession  in  favour  of 
Prout's  hypothesis  due  to  desire  for  simplification. 
It  has  been  thought  that  if  the  atomic  weights 
could  be  shown  to  be  integral  multiples  of  that  of 
hydrogen,  then  all  elements  might  be  regarded  as 
condensed  forms  of  a  single  stuff,  which  in  its 
lightest  form  is  hydrogen. 

If,  however,  it  should  be  shown  that  there  is  no 
such  simple  relation  between  the  atomic  weights, 
there  would  be  nothing  in  the  discovery  to  negative 
the  existence  of  a  single  primary  stuff  or  matter, 
for  we  have  no  experience  of  the  formation  of  our 
chemical  elements  from  any  simpler  materials,  and 
we  have  no  knowledge  whether  our  law  of  con- 
servation of  mass  would  hold  in  such  a  process. 


86 


Practical  Proofs  of 


CHAPTER  VIII.  {Supplementary) 

EXERCISES  SUPPLEMENTARY  TO  THE  COURSE 
ILLUSTRATING  THE  SCOPE  OE  THE  TERM 
EQUIVALENCE  IN  CHEMISTRY 

WHEN  time  and  opportunity  serve,  it  is  well  for 
the  learner  to  carry  out  a  set  of  experiments  which 
will  illustrate  the  scope  of  the  term  equivalence  in 
chemistry. 

The  set  of  experiments  shown  in  the  subjoined 
diagram  will  serve  the  purpose  (see  table  of  con- 
tents at  the  beginning  of  the  book).  The  learner 
may  with  advantage  practise  himself  in  setting 
out  such  diagrams  in  illustration  of  the  connection 
between  different  reactions  with  which  he  be- 
comes acquainted  in  the  course  of  his  studies. 

The  numbers  printed  on  the  subjoined  diagram 
are  the  '  round  numbers '  nearest  to  the  standard 
numbers. 


Chemical  Laws 


87 


Supplementary  Exercise  I. —  The  determina- 
tion of  the  volume  of  hydrogen  evolved  during 
the  solution  of  a  knozvn  weight  of  zinc  in  dilute 
sulphuric  acid.    (See  Exercise  IV.  (a),  Chapter 

in.) 

The  method  of  performing  this  experiment  has 
already  been  described.  For  the  purpose  of  the 
comparison  with  oxygen  in  Supplementary  Exer- 
cise VI.,  the  volume  of  the  gas  obtained  should  be 
reduced  to  what  it  would  occupy  at  a  temperature 
of  0°  C.  and  at  a  pressure  of  760  m.m.  of  mercury, 
according  to  the  rules  given  in  works  upon  physics. 

Example  of  results  obtained. — A  pupil  found 


88 


Practical  Proofs  of 


that  i  litre  of  hydrogen  at  cr  C.  and  760  m.m.  was 
evolved  during  the  solution  of  32*8  grams  of  zinc. 
Experimental  error  +  1  per  cent. 

Supplementary  Exercise  II. —  The  determina- 
tion of  the  weight  of  copper  deposited,  and  the 
volume  of  hydrogen  evolved,  during  the  passage 
of  an  electric  current  through  a  solution  of  copper 
sulphate  and  through  dilute  sulphuric  acid. 

The  following  are  the  apparatus  and  materials 
required: — An  electric  battery,  three  or  four  bichro- 
mate cells  may  be  used,  preferably  mounted  so 
that  the  carbons  may  be  suspended  above  the 
liquid  when  not  in  use,  covered  copper-ivire,  binding 
screzvs,  &c,  platinum  dish,  two  retort  stands  with 
rings  and  clamps,  two  glass  funnels ^  one  of  them 
having  the  neck  cut  short  and  stoppered  with  a 
paraffined  cork  through  which  pass  platinum  elec- 
trodes, gas-measuring  tube  as  in  the  last  exercise, 
dilute  sulphuric  acid  and  pure  copper  sulphate, 
alcohol,  ether.  It  is  also  very  desirable  to  have  a 
box  of  resistance  coils,  and  a  key  for  starting  and 
stopping  the  current. 

Mode  of  conducting  the  experiment. — The  gas- 
measuring  tube,  filled  with  dilute  sulphuric  acid,  is 
inverted  in  the  stoppered  funnel,  which  is  supported 
on  the  ring  of  a  retort  stand,  and  the  end  of  the 
tube  is  brought  over  one  of  the  platinum  electrodes, 
in  which  position  it  is  clamped.  The  other  platinum 
electrode  is  connected  with  the  carbon  end  of  the 


Chemical  Laws  89 

battery.  Care  must  be  taken  that  the  measuring 
tube  is  placed  so  that  no  bubbles  of  oxygen  can 
mix  with  the  hydrogen  which  will  be  evolved  from 
the  electrode  covered  by  the  measuring  tube.  The 
weighed  platinum  dish  containing  a  solution  of 
pure  copper  sulphate  is  supported  upon  the  ring  of 
the  second  retort  stand.  In  the  solution  of  copper 
sulphate  there  dips  a  copper  electrode  which  is 
connected  with  the  electrode  under  the  gas- 
measuring  tube.  When  the  current  is  passing 
oxygen  will  be  evolved  from  the  solution  of  copper 
sulphate,  and  in  order,  to  avoid  spirting,  it  is  well 
to  support  an  inverted  glass  funnel  above  the 
platinum  dish,  the  platinum  wire  attached  to  the 
copper  electrode  passing  down  the  neck  of  the 
funnel.  When  all  is  ready,  the  platinum  dish  is 
connected  with  the  zinc  end  of  the  battery,  the 
current  passes,  copper  deposits  on  the  platinum 
dish,  and  hydrogen  gas  collects  in  the  measuring 
tube.  It  is  advisable  to  adjust  the  resistance  of 
the  circuit  so  that  the  evolution  of  gas  is  slow  ; 
good  results  have  been  obtained  with  a  current 
giving  2  cb.c.  of  hydrogen  per  minute.  The  current 
should  be  allowed  to  pass  until  not  less  than 
60  cb.c.  of  hydrogen  have  been  collected.  The 
gas  is  measured  in  the  usual  way,  the  temperature 
and  the  height  of  the  barometer  being  noted. 
The  platinum  dish  with  its  deposit  of  copper  is 
weighed.  Precautions  must  be  taken  to  prevent 
the  film  of  copper  from  oxidising,  as  readily 
happens  if  it  be  heated.    A  good  way  of  washing 

H 


go 


Practical  Proofs  of 


and  drying  the  copper  film  is  to  pour  off  the 
solution  of  copper  sulphate,  pour  into  the  dish  cold 
distilled  water  and  decant  this  off  once  or  twice, 
then  wash  out  the  water  with  alcohol,  and  then 
wash  out  the  alcohol  with  a  little  ether.  The  ether 
is  readily  removed  by  blowing  air  from  a  bellows 
into  the  dish.    The  dish  can  then  be  weighed. 

Examples  of  results  obtained. — Pupils  obtained 
results  for  the  weight  of  copper  corresponding  to 
I  V2  litres  of  hydrogen,  which  differed  from  the  stan- 
dard numbers  by  —  '6  per  cent.,  —  I  per  cent,  +  5 
per  cent.,  and  —  '35  per  cent. 

Supplementary  Exercise  III.—  The  determina- 
tion of  the  proportion  by  weight  in  which  zinc 
and  oxygen  combine. 

A  weighed  quantity  (nearly  I  gram)  of  pure 
zinc  may  be  dissolved  in  dilute  sulphuric  acid, 
excess  carbonate  of  ammonia  added,  and  the  whole 
evaporated  down  to  dryness.  The  substance  may 
then  be  ignited  strongly  in  a  loosely  covered 
porcelain  crucible  till  the  weight  is  constant,  when 
the  carbonate  has  been  converted  into  oxide. 

Another  method  of  converting  zinc  into  the 
oxide  is  to  dissolve  the  metal  in  nitric  acid,  evapo- 
rate to  dryness,  and  heat  strongly  till  the  weight  is 
constant. 


Chemical  Laws 


9i 


Supplementary  Exercise  IV. —  The  determina- 
tion of  the  proportion  by  weight  in  which  copper 
and  oxygen  combine. 

This  may  be  carried  out  by  converting  pure 
electrolytic  copper  to  oxide  as  follows.  Dissolve 
the  copper  in  nitric  acid,  add  solution  of  caustic 
potash  to  the  hot  solution  of  the  nitrate.  For 
details  of  the  method  of  collecting  and  weighing 
the  oxide  of  copper,  consult  Thorpe's  '  Quantitative 
Analysis/  under  the  head  of  '  Copper  Sulphate,'  or 
any  similar  work  on  analysis. 

Example  of  results  obtained. — A  pupil  found 
that '5025  grams  copper  combined  with '1272  grams 
oxygen.  Therefore  31*59  parts  of  copper  combine 
with  7*996  parts  of  oxygen.  The  standard  number 
is  7*98,  therefore  the  experimental  error  is  +  '2  per 
cent. 

Supplementary  Exercise  V. — The  determina- 
tion of  the  proportion  by  weight  between  the  zinc 
dissolved  and  the  copper  deposited  when  pure 
metallic  zinc  is  placed  in  a  solution  of  a  copper 
salt,  the  copper  salt  being  in  excess. 

The  experiment  is  done  in  a  platinum  dish. 
The  copper  deposited  is  dried  and  weighed  as  in 
Supplementary  Exercise  II. 

Supplementary  Exercise  VI. —  The  determina- 
tion of  the  proportion  in  which  hydrogen  and 
oxygen  combine. 

The  direct  determination  of  the  combining 
weights  of  hydrogen   and  oxygen  by  Dumas's 


92    Practical  Proofs  of  Chemical  Laws 

method  (reduction  of  copper  oxide  in  hydrogen 
and  weighing  the  water  formed)  is  not  easy  to 
conduct.  The  volumetric  proportion  in  which 
hydrogen  and  oxygen  combine  may  be  more 
readily  determined  if  suitable  apparatus  be  at 
hand.  This  determination  is  constantly  made  in 
the  ordinary  operations  of  gas  analysis,  and  shows 
that  5*6  litres  of  oxygen  combine  with  IV2  litres 
of  hydrogen.  If  this  result  be  obtained,  it  will 
remain  in  order  to  complete  the  set  of  experiments 
shown  in  the  diagram,  to  show  that  5*6  litres  of 
oxygen  gas  weigh  8  grams,  the  weight  which  was 
found  to  combine  with  31^  grams  of  copper  and 
with  32^  grams  of  zinc.  For  this  purpose  the 
pupil  may  repeat  the  well-known  exercise  of  heating 
potassium  chlorate,  determining  the  volume  of 
water  expelled  from  an  aspirator,  and  noting  the 
loss  of  weight  suffered  by  the  potassium  chlorate. 


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October,  1895. 

A 

CLASSIFIED  CATALOGUE 

OF 

SCIENTIFIC  WOEKS 

PUBLISHED  BY 

MESSRS.  LONGMANS,  GREEN,  &  CO. 

LONDON:  39  PATERNOSTER  ROW,  E.C. 

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CONT 

PAGE 


Advanced  Science  Manuals  -  24 
Agriculture  and  Gardening  -  21 
Architecture  -  -  -  -  10 
Astronomy  -  .  -  -  -  15 
Biology    -       -       -      -      -  19 

Botany  20 

Building  Construction  -  -  10 
Chemistry  ...  2 

Dynamics  ....  7 
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Elementary  Science  Manuals  23 
Engineering  -  -  -  -  13 
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Heat  -  -  -  -  -  8 
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Hydrostatics  -  7 

Light  8 

London  Science  Glass-Books  -  24 
Longmans'  Civil  Engineering 

Series  -  -  -  -  13 
Machine  Drawing  and  Design  15 
Magnetism      -      -      -      -  11 


ENTS. 

PAGE 


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Proctors  (R.  A.)  Works  -  -  16 
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Statics  7 

Steam  and  the  Steam  Engine  9 
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Telephone  -  -  -  -  11 
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BALL— A  Class-Book  of  Mechanics.  By  Sir  R.  S.  Ball,  LL.D.  89 
Diagrams.    Fcp.  8vo.    Is.  6d. 

GOODEYE— Works  by  T.  M.  Goodeve,  M.A.,  Professor  of  Mechanics  at 
the  Normal  School  of  Science,  and  the  Royal  School  of  Mines. 

  Principles  of  Mechanics.    With  253  Woodcuts  and  numerous 

Examples.    Crown  8vo.  6s. 

  The  Elements  of  Mechanism.  With  342  Woodcuts.   Crown  8vo. 

6s. 

  A  Manual  of  Mechanics  ;   an  Elementary  Text-book  for  Students 

of  Applied  Mechanics.  With  138  Illustrations  and  Diagrams,  and  188 
Examples  taken  from  the  Science  Department  Examination  Papers, 
with  Answers.    Fcp.  8vo.   2s.  6d. 

GllIE YE— Lessons  in  Elementary  Mechanics.  By  W.  H.  Grieve, 
P.S.A.,  late  Engineer  R.N.,  Science  Demonstrator  for  the  London 
School  Board,  &c.  Stage  1.  With  165  Illustrations  and  a  large  number 
of  Examples.  Fcp.  8vo.  Is.  6d.  Stage  2.  With  122  Illustrations. 
Fcp.  8vo.  Is.  6d.    Stage  3.  With  103  Illustrations.    Fcp.  8vo  Is.  6d. 

MAGNUS — Lessons  in  Elementary  Mechanics.  Introductory  to  the 
Study  of  Physical  Science.  Designed  for  the  Use  of  Schools,  and  of 
Candidates  for  the  London  Matriculation  and  other  Examinations. 
With  numerous  Exercises,  Examples,  and  Examination  Questions. 
With  Answers,  and  131  Woodcuts.  By  Sir  Philip  Magnus,  B.Sc, 
B.A.  Fcp.  8vo.  3s.  6d.  Key  for  the  use  of  Teachers  only,  price 
5s.  Z^d.  net,  post  free,  from  the  publishers  only. 

TAYLOR— Works  by  J.  E.  Taylor,  M.A.,  B.Sc,  Central  Schools,  Sheffield. 

 Theoretical  Mechanics,  including  Hydrostatics  and  Pneumatics. 

With  175  Diagrams  and  Illustrations,  and  522  Examination  Questions 
and  Answers.    Crown  8vo.    2s.  6d. 

 Theoretical  Mechanics  :  Solids.    With  163  Illustrations,  120 

Worked  Examples,  and  over  500  Examples  from  Examination  Papers, 
&c     Crown  8vo.    2s.  6d. 

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THORNTON — Theoretical  Mechanics  :  Solids.  Including  Kinematics, 
Statics,  and  Kinetics.  By  Arthur  Thornton,  M.A.,  F.R.A.S.,  late 
Scholar  of  Christ's  College,  Cambridge  ;  Senior  Science  Master,  Bradford 
Grammar  School.  With  220  Illustrations,  130  Worked  Examples,  and 
over  900  Examples  from  Examination  Papers,  &c.   Crown  8vo.  4s.  6d. 


Scientific  Works  published  by  Longmans,  Green,  Co. 


TWISDEN— Works  by  the  Rev.  John  F.  Twisden,  M.A. 

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With  855  Exercises  and  184  Figures  and  Diagrams.  Crown  8vo. 
10s.  6d. 

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DYNAMICS,  STATICS,  AND  HYDROSTATICS. 

GELDARD— Statics  and  Dynamics  By  C.  Geldard,  M.A.,  formerly 
Scholar  of  Trinity  College,  Cambridge,  Mathematical  Lecturer  under 
the  Non-Collegiate  Students'  Board,  Cambridge.    Crown  Bvo.  5s. 

GROSS — Elementary  Dynamics  (Kinematics  and  Kinetics).  By  E.  J. 
Gross,  M.A.,  Fellow  of  Gonville  and  Caius  College,  Cambridge. 
Crown  8vo.  5s.  6d. 

MAGNUS — Hydrostatics  and  Pneumatics.  By  Sir  Philip  Magnus, 
B.Sc.    Fcp.  8vo.    Is.  6d.,  or,  with  Answers,  2s. 

The  Worked  Solutions  of  the  Problems.  2s. 

ROBINSON— Elements  of  Dynamics  (Kinetics  and  Statics).  With 
numerous  Exercises.  A  Text-Book  for  Junior  Students.  By  the 
Rev.  J.  L.  Robinson,  B.A.,  Chaplain  and  Naval  Instructor  at  the 
Royal  Naval  College,  Greenwich.    Crown  8vo.  6s. 

SMITH — Graphics  i  or,  The  Art  of  Calculation  by  Drawing  Lines, 
applied  especially  to  Mechanical  Engineering.  By  Robert  H.  Smith, 
Prof,  of  Engineering,  Mason  College,  Birmingham.  Part  I.  Arith- 
metic, Algebra,  Trigonometry,  Moments,  Vector  Addition.  Locor 
Addition,  Machine  Kinematics,  and  Statics  of  Flat  and  Solid 
Structures.  With  separate  Atlas  of  29  Plates  containing  97  Diagrams. 
8vo.  15s. 

SMITH — Works  by  J.  Hamblin  Smith,  M.A.,  of  Gonville  and  Caius 
College,  Cambridge. 

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 —  Key  to  Statics  and  Hydrostatics.    Crown  8vo,  6s. 

WILLIAMSON— Introduction  to  the  Mathematical  Theory  of  the 

Stress  and  Strain  of  Elastic  Solids.  Bv  Benjamin  Williamson, 
D.Sc,  D.C.L.,  F.R.S.,  Fellow  and  Senior  Tutor  of  Trinity  College, 
Dublin.    Crown  8vo.  5s 


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WILLIAMSON  and  TARLETON— An  Elementary  Treatise  on  Dyna- 
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A.  Tarleton,  LL.D.    Crown  8vo.    10s.  6d. 

WORTHINGrTON— Dynamics  of  Rotation  2  an  Elementary  Introduction 
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Master  and  Professor  of  Physics  at  the  Royal  Naval  Engineering 
College,  Devon  port.    Crown  8vo.    3s.  6d. 


SOUND,  LIGHT,  HEAT  &  THERMODYNAMICS. 

ALEXANDER — Treatise  on  Thermodynamics.  By  Peter  Alexander, 
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Crown  8vo.  5s. 

CUMMIN  G — Heat.  For  the  use  of  Schools  and  Students.  By  Linnaeus 
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Master  at  Rugby  School.  With  numerous  Illustrations.  Crown  8vo. 
4s.  6d. 

DAY— Numerical  Examples  in  Heat.  By  R.  E.  Day,  M,A.  Fcp.  8vo. 
3s.  6d. 

HELMHOLTZ— On  the  Sensations  of  Tone  as  a  Physiological  Basis 

for  the  Theory  of  Music.  By  Hermann  von  Helmholtz.  Royal 
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MAD  AN — An  Elementary  Text-Book  on  Heat.  For  the  use  of  Schools. 
By  H.  G.  Madan,  M.A.,  F.C.S.,  Fellow  of  Queen's  College,  Oxford  ; 
late  Assistant  Master  at  Eton  College.    Crown  8vo.  9s. 

MAXWELL— Theory  of  Heat.  By  J.  Clerk  Maxwell,  M.A.,  F.R.SS., 
L.  &  E.  With  Corrections  and  Additions  by  Lord  Rayleigh.  With 
38  Illustrations.    Fcp.  8vo.    4s.  6d. 

SMITH  (J.  HamMin)— The  Study  of  Heat.  By  J.  Hamblin  Smith, 
M.A.,  of  Gonville  and  Caius  College,  Cambridge.    Cr.  8vo.  3s. 

TYNDALL— Works  by  John  Tyndall,  D.C.L.,  F.R.S.    See  page  12. 

WORMELL— A  (Jiass-Book  of  Thermodynamics.  By  Richard  Wor- 
mell,  B.Sc,  M.A.    Fcp.  8vo.    Is.  6d. 

WRIGHT— Works  by  Mark  R.  Wright  (Hon.  Inter.,  B.Sc,  London). 

  Sound,  Light,  and  Heat.    AVith  160  Diagrams  and  Illustrations 

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STEAM  AND  THE  STEAM  ENGINE,  &c. 

BALE — A  Handbook  for  Steam  Users ;  being  Rules  for  Engine  Drivers 
and  Boiler  Attendants,  with  Notes  on  Steam  Engine  and  Boiler  Man- 
agement and  Steam  Boiler  Explosions.  By  M.  Powis  Bale,  M.I.M.E. , 
A.M.I.C.E.    Fcp.  8vo.    2s.  6d. 

BOLTON— Motive  Powers  and  their  Practical  Selection.  By  Reginald 
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Crown  8vo.    6s.  6d.  net. 


BOURNE — A  Catechism  of  the  Steam  Engine^  in  its  Various  Applications 
in  the  Arts,  to  which  is  added  a  chapter  on  Air  and  Gas  Engines,  and 
another  devoted  to  Useful  Rules,  Tables,  and  Memoranda.  By  John 
Bourne,  C.E.    Illustrated  by  212  Woodcuts.    Crown  8vo.    7s.  6d. 

CLERK— The  Gas  Engine.  By  Dugald  Clerk.  With  101  Woodcuts. 
Crown  8vo.    7s.  6d. 

HOLMES— The  Steam  Engine.  By  George  C.  V.  Holmes  (Whitworth 
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Woodcuts.    Fcp.  8vo.  6s. 

RANSOM  —Steam  and  Gas  Engine  Governors.    By  H.  B.  Ransom. 

[In  preparation. 

RIPPER— Works  by  William  Ripper,  Member  of  the  Institution  of 
Mechanical  Engineers  ;  Professor  of  Mechanical  Engineering  in  the 
Sheffield  Technical  School. 

  Steam.    With  142  Illustrations.    Crown  8vo.    2s.  6d. 

 Steam  and  the  Steam  Engine.    An  Advanced  Course. 

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SENNETT— The  Marine  Steam  Engine.  A  Treatise  for  the  Use  of 
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Sennett,  R.N.,  Engineer-in-Chief  of  the  Royal  Navy.  With  261 
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STROMEYER— Marine  Boiler  Management  and  Construction.  Being 
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ARCHITECTURE. 

GWXLT — An  Encyclopaedia  of  Architecture,  By  Joseph  Gwilt,  F.S.A 
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with  Alterations  and  Considerable  Additions,  by  Wyatt  Papworth 
8vo.    52s.  6d. 

MITCHELL — The  Stepping-Stone  to  Architecture  i  explaining  in 
simple  language  the  Principles  and  Progress  of  Architecture  from  the 
earliest  times.  By  Thomas  Mitchell.  With  22  Plates  and  49 
Woodcuts.    18mo.    Is.  sewed. 


BUILDING  CONSTRUCTION. 


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4s.  6d, 

BUBBELL  —Building'  Construction.  By  Edward  J.  Burrell,  Second 
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SEDDON—  Builder's  Work  and  the  Building  Trade.  By  Colonel  H 
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mouth  ;  Examiner  in  Building  Construction,  Science  and  Art  Depart 
ment,  South  Kensington.  With  numerous  Illustrations.  Medium 
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RIVINGTON'S  COURSE  OF  BUILDING  CONSTRUCTION. 


Notes  on  Building-  Construction.  Arranged  to  meet  the  requirements  of 
the  Syllabus  of  the  Science  and  Art  Department  of  the  Committee  of 
Council  on  Education,  South  Kensington,    Medium  8vo. 

Part  L  First  Stage,  or  Elementary  Course.   With  552  Woodcuts.   10s.  6d 

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ELECTRICITY  AND  MAGNETISM. 

CUMMING— Electricity  treated  Experimentally.  For  the  use  of  Schools 
and  Students.  By  Linnaeus  Cumming,  M.A.,  Assistant  Master  in 
.Rugby  School.    With  242  Illustrations.    Crown  8vo.    4s.  6d. 

DAY — Exercises  in  Electrical  and  Magnetic  Measurements,  with 
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GORE— The  Art  of  Electro-Metallurgy,  including  all  known  Processes 
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JENKIN — Electricity  and  Magnetism.  By  Fleeming  Jenkin,  F.R.S.S., 
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LARDEX — Electricity  for  Public  Schools  and  Colleges.  By  W.  Larden, 
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Answers.    Crown  8vo.  6s. 

MERRIFIELD— Magnetism  and  Deviation  of  the  Compass.    For  the 

use  of  Students  in  Navigation  and  Science  Schools.  By  John 
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POYSER— Works  by  A.  W.  Poyser,  M.A.,  Grammar  School,  Wisbech. 

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SLXNGO  and  BROOKER — Works  by  W.  Slingo  and  A.  Brooker. 
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TYND  ALL— Works  by  John  Tyndall,  D.C.L.,  F.R.S.    See  p.  12. 


TELEGRAPHY  AND  THE  TELEPHONE. 

BENNETT— The  Telephone  Systems  of  the  Continent  of  Europe.  By 

A.  R.  Bennett,  Member  of  the  Institution  of  Electrical  Engineers ; 
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CULLEY— A  Handbook  of  Practical  Telegraphy.  By  R.  S.  Culley 
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PREE€E  and  SIVEWRIGHT— Telegraphy.  By  W.  H.  Preece,  C.B., 
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WORKS   BY  JOHN  TYNDALL, 

D.C.L.,  LL.D.,  F.R.S. 


Fragments  of  Science  s  a  Series  of  Detached  Essays,  Addresses  and  Re- 
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VOL.  I.  :— The  Constitution  of  Nature— Radiation— On  Radiant  Heat  in  relation  to  the 
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— On  Dust  and  Disease — Voyage  to  Algeria  to  observe  the  Eclipse — Niagara — The  Parallel 
Roads  of  Glen  Roy — Alpine  Sculpture— Recent  Experiments  on  Fog-Signals— On  the  Study 
of  Physics — On  Crystalline  and  Slaty  Cleavage— On  Paramagnetic  and  Diamagnetic  Forces 
— Physical  Basis  of  Solar  Chemistry— Elementary  Magnetism— On  Force— Contributions  to 
Molecular  Physics— Life  and  Letters  of  Faraday— The  Copley  Medalist  of  1870— The 
Copley  Medalist  of  1871 — Death  by  Lightning. — Science  and  the  Spirits. 

VOL.  EL  :— Reflections  on  Prayer  and  Natural  Law— Miracles  and  Special  Providences — 
On  Prayer  as  a  Form  of  Physical  Energy— Vitality— Matter  and  Force— Scientific  Materi- 
alism— An  Address  to  Students— Scientific  Use  of  the  Imagination— The  Belfast  Address — 
Apology  for  the  Belfast  Address— The  Rev.  James  Martixeau  and  the  Belfast  Address- 
Fermentation,  and  its  Bearings  on  Surgery  and  Medicine— Spontaneous  Generation — 
Science  and  Man— Professor  Virchow  and  Evolution— The  Electric  Light. 

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Contents  :—The  Sabbath— Goethe's  '  Farbenlehre  '—Atoms,  Molecules  and  Ether  Waves 
— Count  Rumford— Louis  Pasteur,  his  Life  and  Labours— The  Rainbow  and  its  Congeners — 
Address  delivered  at  the  Birkbeck  Institution  on  22nd  October,  1881— Thomas  Young— Life 
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veiling the  Statue  of  Thomas  Carlyle— On  the  Origin,  Propagation  and  Prevention  of 
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ENGINEERING,  STRENGTH  OF  MATERIALS,  &c. 

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LEWIS— Papers  and  Notes  cn  the  Glacial  Geology  of  Great  Britain 

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logy and  Physiology.  With  42  Diagrams.  Fcp.  8vo.  Is.  6d.  Classifi- 
cation of  Plants.    With  118  Diagrams.    Fcp.  8vo.    Is.  6d. 

SORAUER  -A  Popular  Treatise  on  the  Physiology  of  Plants.  For 

the  Use  of  Gardeners,  or  for  Students  of  Horticulture  and  of  Agri- 
culture. By  Dr.  Paul  Sorauer,  Director  of  the  Experimental 
Station  at  the  Roval  Pomological  Institute  in  Proskau  (Silesia). 
Translated  by  F.  E.  Weiss,  B.Sc,  F.L.S.,  Professor  of  Botany  at  the 
Owens  College,  Manchester.    With  33  Illustrations.    8vo.    9s.  net. 

THOME  and  BENNETT -Structural  and  Physiological  Botany.  By 

Dr.  Otto  Wilhelm  Thome  and  by  Alfred  W.  Bennett,  M.A., 
B.Sc,  F.L.S.   With  Coloured  Map  and  600  Woodcuts.    Fcp.  8vo.  6s. 


WATTS— A  School  Flora.    For  the  use  of  Elementary  Botanical  Classes. 
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AGRICULTURE  AND  GARDENING. 

ADDYMAN — Agricultural  Analysis,  A  Manual  of  Quantitative  Analysis 
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COLEMAN  and  ADDYMAN— Practical  Agricultural  Chemistry.  For 

Elementary  Students,  adapted  for  use  in  Agricultural  Classes  and 
Colleges.  By  J.  Bernard  Coleman,  A.R.C.Sc,  F.I.C.,  and  Frank 
T.  Addyman,  B.Sc.  (Lond.),  F.I.C.    Crown  8vo.  Is.  6d.  net. 

LLOYD— The  Science  of  Agriculture.    By  F.  J.  Lloyd.    8vo.  12s. 
LOUDON— Works  by  J.  C.  Loudon,  F.L.S. 

  Encyclopaedia  of  Gardening;  the   Theory  and   Practice  of 

Horticulture,  Floriculture,  Arboriculture  and  Landscape  Gardening. 
With  1000  Woodcuts.    8vo.  21s. 

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Management  of  Landed  Property  ;  the  Cultivation  and  Economy  of 
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RIVERS— The  Miniature  Fruit  Garden;  or,  The  Culture  of  Pyramidal 
and  Bush  Fruit  Trees.  By  Thomas  T.  F.  Rivers.  With  32  Illustra- 
tions.   Crown  8vo.  4s. 

WEBB— Works  by  Henry  J.  Webb,  Ph.D.,  B.Sc.  (Lond.) ;  late  Principal 
of  the  Agricultural  College,  Aspatria. 

 Elementary  Agriculture.    A  Text- Book  specially  adapted  to  the 

requirements  of  the  Science  and  Art  Department,  the  Junior  Examina- 
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tions.   With  34  Illustrations.    Crown  8vo.    2s.  6d. 


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22        Scientific  Works  published  by  Longmans,  Green,  &  Co. 


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The  Strength  of  Material  and  Structures. 

By  Sir  J.  Anderson,  C.E.,  &c.  66 
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Railway 


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Nathaniel  Griffin,  B.D.  3s.  6c7. 
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Introduction  to  the  Study  of  Inorganic 

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Elements  of  Astronomy.   By  Sir  R.  S. 

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Metals,  their  Properties  and  Treatment. 

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ington, Professors  in  King's  College, 
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Telegraphy.  Bv  W.  H.  Preece,  C.B., 
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wright,  M.A.,  K.C.M.G.  258  Wood- 
cuts.   Fcp.  8vo.  6s. 


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M.A.,  F.R.S. 
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Technical  Arithmetic  and  Mensuration. 

By  Charles  W.  Merrifield,  F.R.S. 
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Elements  of  Machine  Design.     By  W. 

Cawthorne    Unwin,    F.R.S.,  B.Sc. 

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174  Woodcuts.    Fcp.  8vo.    4s.  6d. 

Structural  and  Physiological  Botany.  By 

Dr.  Otto  Wilhelm  Thome*  ,  and  A.  W. 
Bennett,  M.A. ,  B.Sc,  F.L.S.  With 
600  Woodcuts.    Fcp.  8vo.  6s. 


Plane  and  Solid  Geometry. 

Watson,  M.A.    Fcp.  8vo. 


By  H. 
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W. 


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ELEMENTARY  SCIENCE  MANUALS. 

Written  specially  to  meet  the  requirements  of  the  Elementary  Stage  op 
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Practical  Plane  and  Solid  Geometry,  in- 
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H.  Morris.    Cr.  8vo.    2s.  6d. 

Geometrical  Drawing  for  Art  Students. 

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ject I.  By  I-  H.  Morris.  Crown  8vo. 
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Building  Construction.  By  Edward  J. 
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Theoretical  Mechanics — Solids.     By  J. 

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Theoretical  Mechanics— Fluids.     By  J. 

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Inorganic   Chemistry,  Theoretical  and 

Practical.  By  William  Jago,  F.C.S., 
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An  Introduction  to  Practical  Inorganic 

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Practical  Chemistry :  the  Principles  of 
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Elementary  Chemistry,  Inorganic  and  Or- 
ganic. By  W.  S.  Furneaux,  F.K.G.S. 
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Organic  Chemistry  :  The  Fatty  Com- 
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Elementary  Geology.  By  Crarles  Bird, 
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Human  Physiology.  By  William  S. 
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[Continued. 


24        Scientific  Works  published  by  Longmans,  Green,  6°  Co. 


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Magnetism  and  Electricity.  By  Arthur 
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Inorganic   Chemistry,  Theoretical  and 

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Physiography.  By  John  Thornton,  MA. 
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Molecular  Physics  and  Sound.  By 
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(5000—10/95. 


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QD  47220 

501 

C655 


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