UNIVERSITY OF CALIFORNIA SAN FRANCISCO LIBRARY INORGANIC CHEMISTRY WORKS by G. S. NEWTH, F.I.C., F.C.S. DEMONSTRATOR IN THE ROYAL COLLEGE OF SCIENCE, LONDON. CHEMICAL LECTURE EXPERIMENTS. With 230 Illustrations. Crown 8vo, $2.00. CHEMICAL ANALYSIS, QUALITATIVE AND QUANTITATIVE. With 100 Illustrations. Crown 8vo, $1.75. SMALLER CHEMICAL ANALYSIS. Crown 8vo, 60 cents. A TEXT-BOOK OF INORGANIC CHEMISTRY. With 153 Illustrations. Crown 8vo, $1.75. With Appendix of Questions, $2.00. Appendix separately, 25 cents. ELEMENTARY INORGANIC CHEMISTRY. With 108 Illustrations and 254 Experiments. Crown 8vo, 90 cents. LONGMANS, GREEN, AND CO. NEW YORK, LONDON, BOMBAY, AND CALCUTTA. A TEXT-BOOK OF INORGANIC CHEMISTRY G. S. NEVVTH, F.I.C., RC.S. ^^ SENIOR DEMONSTRATOR-'IN THE ROYAL COLLEGE OF SCIENCE (IMPERIAL COLLEGE OK SCIENCE AND TECHNOLOGY 1 , LONDON. ASSISTANT- EXAMINER IN CHEMISTRY, BOARD OF EDUCATION, SOUTH KENSINGTON California College of Pharmacy NEW EDITION LONGMANS, GREEN AND CO. 91 AND 93 FIFTH AVENUE, NEW YORK LONDON, BOMBAY, AND CALCUTTA All rights reserved PREFACE IN drawing up a systematic course of elementary chemical instruction based upon the periodic classification of the ele- ments, whether it be as a course of lectures, or as a text-book, a number of serious difficulties are at once encountered. These possibly are sufficient to account for the fact, that although twenty-five years have elapsed since Mendelejeff published this natural system of classification, the method has not been generally adopted as the basis of English elementary text-books. I have endeavoured to obviate many of these difficulties, while still making the periodic system the foundation upon which this little book is based, by dividing the book into three parts. Part I. contains a brief sketch of the funda- mental principles and theories upon which the science of modern chemistry is built. Into this portion of the book I have introduced, necessarily in briefest outlines, some of the more recent developments of the science in a physico-chemical direction, of which it is desirable that the student should gain some knowledge, even early in his career. Part II. consists of the study of the four typical elements, hydrogen, oxygen, nitrogen, and carbon, and of their more important compounds. By dissociating these four elements from their position in the periodic system, and treating them separately, the student is early brought into contact with many of the simpler and more familiar portions of the science. Such vi Preface subjects as water, the atmosphere, and combustion, to which it is desirable that he should be introduced at an early stage in his studies, are thus brought much more forward than would otherwise be the case. In Part III. the elements are treated systematically, accord- ing to the periodic classification. In this manner, while avoiding a sharp separation of the elements into the two arbi- trary classes of metals and non-metals, it has been possible to so far conform to the prevailing methods of instruction, that all those elements which are usually regarded as non-metals (with the two exceptions of boron and silicon) are treated in the earlier portion of the book. The science of chemistry has of recent years developed and become extended to such a degree, that the difficulty of giving a fairly balanced treatment of the subject, within the limits of a small text-book, is an ever-increasing one, and it necessarily resolves itself into a question of the judicious selection of matter. In making such a selection, I have endeavoured, as far as possible, to keep in view the requirements of students at the present time, without, however, following any examina- tion syllabus. Acting upon this principle, I have omitted all detailed description of the rare elements and their compounds, con- fining myself merely to a short mention of them in a few general remarks at the commencement of the various chapters. Although from a purely scientific standpoint many of these rare substances are of the greatest interest and importance, it must be admitted that they stand quite outside the range of all the customary courses of chemical instruction ; and so far as the wants of the ordinary student are concerned, the space which would be occupied by an account of these elements is more advantageously devoted to such matters Preface vii as are discussed in the Introductory Outlines. Moreover, it is a matter of common observation that text-books, even upon the shelves of reference libraries, and which bear un- mistakable evidence of much use, are frequently uncut in those portions which treat of these elements. Details of metallurgical processes, also, are out of place in a text-book of chemistry, and must be sought in metal- lurgical text-books. Only such condensed outlines, therefore, have been given as are sufficient to explain the chemicaj changes that are involved in these operations. The great importance to the student, of himself perform- ing experiments illustrating the preparation and properties of many of the substances treated of in his text-book, cannot well be over-estimated. If he be in attendance upon a course of chemical lectures, opportunity should be given to him for repeating the simpler experiments he may see performed upon the lecture table : if he be not attending lectures, the necessity for this practical work on his part is greater still. Instead of burdening this text-book with specific directions for carrying out such elementary experiments, frequent refer- ences have been made to my "Chemical Lecture Experi- ments," where minute directions are given for carrying out a large number of experiments, many of which may be easily performed, and with the very simplest of apparatus. Several of the woodcuts have been borrowed from existing modern works, such as Thorpe's " Dictionary of Applied Chemistry," Mendelejeffs "Principles of Chemistry," Ost- wald's " Solutions," and others. Care has been taken, how- ever, to exclude all antiquated cuts, and a large number of the illustrations are from original drawings and photographs. G. S. N. SOUTH KENSINGTON. HINTS TO STUDENTS FOR the help of students who may use this book at the commencement of their chemical studies, and especially for those who may not be working under the immediate guidance of a teacher, the following hints are given : Begin by carefully reading the first four chapters (pages 1-24). Then pass on to Part II. (page 171), and begin the study of the four typical elements, hydrogen, oxygen, nitrogen, and carbon, and their compounds, in the order in which they are treated. Accompany your reading by per- forming as many of the experiments referred to as possible, in order that you may become practically familiar with the substances you are studying. During the time occupied in the study of these four elements and their compounds, again read Chapters I. to IV., and slowly and carefully continue reading Part I., so that by the time Part III. is reached, you may have fairly mastered at least the first thirteen chapters of the Introductory Out- lines. The order in which the elements are treated in Part III. is based upon the periodic classification, therefore read the short introductory remarks at the commencement of the various chapters, in the light of the table on page 118. Throughout the book temperatures are given in degrees of the Centigrade thermometer. i Centigrade equals 1.8 x Hints to Students Fahrenheit, and as the zero of the latter scale is 32 below that of the Centigrade, temperatures given in degrees of one scale are readily translated into degrees of the other, by the simple formula The abbreviation mm. stands for millimetre; the TTr Vo- P art of a metre (i 1116^6 = 39.370113 inches; or roughly, 25 mm. = i inch). The abbrevation c.c. signifies cubic centi- metre; the Y^IT part of a cubic decimetre, or litre (i litre = 1.76077 pints). i gramme (the weight of i c.c. of distilled water, taken at its point of maximum density) = 15.43235 English grains. TABLE OF CONTENTS PART I INTRODUCTORY OUTLINES CHAP. PAGE I. Chemical Change The Constitution of Matter Molecules Atoms I II. Elements and Compounds Mixtures Chemical Affinity Modes of Chemical Action .6 III. Chemical Nomenclature .15 IV. Chemical Symbols . . . . . . . .21 V. The Atomic Theory Laws of Chemical Action ... 25 VI. Atomic Weights Modes of Determining Atomic Weights . 34 VII. Quantitative Chemical Notation ...... 53 VIII. Valency of the Elements 59 IX. General Properties of Gases Relation to Heat and Pressure Liquefaction Diffusion The Kinetic Theory . . 69 X. Dissociation Reversible or Balanced Actions ... 88 XI. Electrolysis Electrolytic Dissociation The Ionic Theory . 96 XII. Classification of the Elements The Periodic System . . 112 XIII. General Properties of Liquids Evaporation, Boiling, Vapour Pressure of Solutions The Passage of Liquids into Solids Freezing Point of Solutions Raoult's Method . .126 XIV. Solution Gases in Liquids Liquids in Liquids Solids in Liquids Osmotic Pressure Crystalline Forms . . 142 XV. Thermo-chemistry 163 PART II THE STUDY OF FOUR TYPICAL ELEMENTS Hydrogen Oxygen Nitrogen Carbon, AND THEIR MORE IMPORTANT COMPOUNDS. I. Hydrogen Hydrogenium 171 II. Oxygen Allotropy Ozone 181 III. Compounds of Hydrogen with Oxygen 203 xii Contents CHAP. PAGE IV. Nitrogen 229 V. Oxides and Oxy-acids of Nitrogen 234 VI. The Atmosphere and the Argon Group of Elements . . 252 VII. Compounds of Nitrogen and Hydrogen Hydroxylamine Ammon-sulphonates ; Halogen Compounds of Nitrogen . 272 VIII. Carbon 285 IX. Carbon Monoxide Carbon Dioxide Carbonates . . . 295 X. Compounds of Carbon with Hydrogen Methane Ethylene Acetylene 312 XI. Combustion Heat of Combustion Ignition Point Flame Structure of Flame Cause of Luminosity of Flames The Bunsen Flame 321 PART III THE SYSTEMATIC STUDY OF THE ELEMENTS, BASED UPON THE PERIODIC CLASSIFICATION I. ELEMENTS OF GROUP VII. (FAMILY B.) Fluorine: Hydrofluoric Acid. Chlorine: Hydrochloric Acid Oxides and Oxyacids of Chlorine. Bromine: Hydrobromic Acid Oxyacids of Bromine. Iodine: Hydriodic Acid Oxyacids of Iodine Periodates . . 345 II. ELEMENTS OF GROUP VI. (FAMILY B.) Sulphur: Compounds of Sulphur with Hydrogen Com- pounds with Chlorine Oxides and Oxyacids of Sulphur Oxychlorides Carbon Disulphide. Selenium Tellu- III. ELEMENTS OF GROUP V. (FAMILY B.) Phosphorus: Compounds with Hydrogen Compounds with the Halogens Oxides and Oxyacids. Arsenic : Arsenu- retted Hydrogen Halogen Compounds Oxides and Oxyacids Sulphides. Antimony: Antimony Hydride Halogen Compounds Oxides and Acids Sulphides. Bismuth : Bismuth and Halogens Oxides Sulphides . 450 IV. ELEMENTS OF GROUP I. (FAMILY A.) Potassium Soditim Lithium Rubidium Ammonium Salts .......... 505 V. ELEMENTS OF GROUP I. (FAMILY B.) Copper Silver Gold . . , , .... . 549 Contents xiii CHAP. PAGE VI. ELEMENTS OF GROUP II. (FAMILY A.) Beryllium Magnesiit in C ale in >n Strontium Barium 5 70 VII. ELEMENTS OF GROUP II. (FAMILY B.) Zinc Cadmium Mercury 590 VIII. ELEMENTS OF GROUP III. FAMI LY A. : Scandium ) 'tlrium Lanthanum Ytter- bium. FAMILY B. : Boron Aluminium Gallium Indium Thallium 606 IX. ELEMENTS OF GROUP IV. FAMILY A. : Titanium Zirconium Cerium Thorium. FAMILY B. : Silicon Germanium Tin Lead . . 627 X. ELEMENTS OF GROUP V. (FAMILY A.) Vanadium Niobium Tantalum 655 XL ELEMENTS OF GROUP VI. (FAMILY A.) Chromium Molybdenum Tungsten Uranium . . 657 XII. ELEMENTS OF GROUP VII. (FAMILY A.) Manganese 666 XIII. TRANSITIONAL ELEMENTS OF THE FIRST LONG PERIOD. Iron Cobalt Nickel 671 XIV. TRANSITIONAL ELEMENTS OF THE SECOND AND FOURTH LONG PERIOD. Ruthenium Rhodium Palladiiim Osmium Iridium Platinum Argon Helittm 690 APPENDIX : RADIUM, AND RADIOACTIVE ELEMENTS . 697 INDEX 75 INORGANIC CHEMISTRY PAET I INTRODUCTORY OUTLINES CHAPTER I CONSTITUTION OF MATTER THE science of chemistry may be described as the study of a certain class of changes which matter is capable of undergoing. Matter is susceptible of a variety of changes, some of which are regarded as physical and others as chemical. Thus, when a steel knitting-needle is rubbed upon a magnet, the needle undergoes a change, by virtue of which it becomes endowed with the power of attracting to itself iron filings or nails ; and when an ordinary lucifer match is rubbed upon a match-box the match undergoes a change, resulting in the production of flame. In the first case the change is said to be a physical one, while the ignition and com- bustion of the match is a chemical change. When a fragment of ice is gently warmed, it is changed from a hard, brittle solid to a mobile, transparent liquid ; and when white of egg is gently heated, it changes from a transparent, colourless liquid to an opaque white solid. These changes, which appear at first sight to be of a similar order, are in reality essentially different in their nature : the transformation of solid ice into liquid water is a physical change, the coagulation of albumen is a chemical change. Again, when certain substances (such as the materials which constitute the so-called luminous paint} are exposed to a bright light, they undergo a change whereby they become invested with A 2 Introductory Outlines the power to emit a feeble light when seen in the dark. A stick of phosphorus also emits a very similar light when seen in the dark. The glowing of these materials under these circumstances might readily be regarded as the result of the same kind of change in both cases ; but in reality the luminosity of the phosphorus is due to a chemical change taking place upon the surface of that sub- stance, while the emission of light from the luminous paint is a purely physical phenomenon. The two sciences, chemistry and physics, are so closely related and interdependent upon each other, that no sharp distinction or line of separation between them is possible. Every chemical change that takes place is attended by some physical change, and it often happens that this accompanying physical change forms the only indication of the chemical change that has taken place. In certain important points, however, a chemical change is very different from one that is purely physical : in the latter case no material alteration in the essential nature of the substance takes place. This will be seen in the examples quoted. The steel needle remains unaltered in its essence, although by magnetisation it has acquired a new property a property which it again loses, and which can be again and again imparted to it. The match, on the other hand, when ignited has undergone a material and per- manent change : the combustible substance is now no longer combustible, neither will it ever return to its original state. The solid water, in being transformed to liquid water, has not under- gone any vital change ; in essence it is the same substance merely endowed with a new property of liquidity, a property which it loses again when cooled, and which can be again and again imparted to it. On the other hand, the coagulated albumen has undergone a complete and lasting change, and never returns to its original condition. In the same way, the luminous paint gradually ceases to emit light, and returns to its original state ; it may be exposed to the influence of light, when it once more acquires the property of phosphorescence, and this change may be brought about indefi- nitely, without altering the intrinsic nature of the substance. The glowing phosphorus, on the other hand, is gradually changed into a white substance, which escapes from it as a smoke or fume ; in the act of glowing the phosphorus is undergoing a process of slow burning, and if allowed to remain will continue glowing and burn- ing until the whole of it has disappeared in the form of smoke. Molecules 3 The Constitution of Matter. Molecules. Matter is regarded by the chemist and physicist as being composed of aggregations of minute particles ; every substance, whether it be solid, liquid, or gaseous, presents the appearance to his mind of a vast number of extremely minute particles. To these particles the name mole- cules (" little masses ") has been given. The particles or molecules of any particular substance are all alike : thus in sulphur the molecules are all of one kind, while in water they are all of another kind ; the chemical properties associated with sulphur are the pro- perties of the individual sulphur molecules, while those belonging to water are the properties of the molecules of that substance. All matter, therefore, is to be conceived as having what may be called a grained structure. The actual sizes of molecules is a matter which has not yet been determined with exactness ; they are orders of magnitude which are as difficult for the mind to grasp on account of their minuteness, as many astronomical measurements are by reason of their vastness. It is certain that their size is less than half a single wave-length of light,* and that therefore they are beyond the visual limits of the microscope. Some general idea of their order of magnitude may be gathered from Lord Kelvin's calculation, that if a single drop of water were magnified to the size of the earth, each molecule being proportionately enlarged, the grained appearance which the mass would present would probably be finer than that of a heap of cricket-balls, but coarser than a heap of small shot. It will be evident, therefore^ that in the strictest sense matter is not homogeneous^ since it consists of aggregations of molecules, between which there exist certain interspaces. The forces which similar molecules exert upon each other are regarded as physical, in contradistinction to chemical. These forces are either attractive in their nature, or repellent. The attractive forces tend to draw the molecules closer together, and thus to cause the substance to assume the solid state ; while repellent forces, on the other hand, tend to separate the molecules and to make the substance pass into the gaseous condition. Changes which matter undergoes by the action of these forces are physical changes ; they do not affect the chemical nature and properties of the substance, which properties, as already stated, reside in the molecules themselves. * The wave-length of the blue ray (G) = 0.0004311 millimetre, or 0.0000169 inch. 4 Introductory Outlines In each of the three states of matter, viz. solid, liquid, or gaseous, the molecules are conceived as being in a state of motion ; they are regarded as executing some vibratory movement within the spaces that divide them. In the solid state this movement is usually the most restricted, for the reason that in this case the intermolecular spaces are as a rule the smallest. In the gaseous condition, however, the attractive force between the molecules has been almost entirely overcome by the operation of the repellent forces. The molecules are therefore widely sepa- rated, and consequently permit of a much greater freedom of movement. Such changes in matter, which are merely the result of alterations in the motions of the molecules, are likewise purely physical changes. MoWi|]pq may HP defined as the smallest weight ofinatter in which the original properties of the matter are retained. Atoms. It is the beliet ot chemists that most molecules are possessed of a structure. That is to say, they are not simple, single, indivisible masses, but themselves consist of aggregations of still smaller particles, which are held together by the opera- tions of some other force. These particles of which molecules are composed are termed atoms, and the force which holds them together is called chemical affinity, or chemical attraction. To the mind of the chemist, such molecules are little systems, con- sisting of a number of atoms which are attracted to each other by this particular force ; in the ordinary movements of the mole- cule, the system moves about as a whole. In this respect it bears some analogy, on an infinitely minute scale, to a solar system. The atoms of a molecule are regarded as in a state of motion as respects one another, possibly revolving about one another, while the entire system, or molecule, at the same time performs its in- dependent movements, just as in a solar system the various members perform various movements towards each other, while at the same time the whole system travels upon its prescribed orbit. In the case of the heavenly bodies, the force which regulates the movements of the individual members of the system amongst themselves is the same force that controls the motion of the united system, namely, gravitation. What is the precise relation, or difference, if any, between the forces which control the move- ments of molecules, and those which operate between the atoms of the molecule, is not known ; but as the effects produced are Molecules and Atoms 5 different, the latter force is distinguished by the name of chemical affinity. Any change which matter undergoes, in which the integrity of the molecules is not destroyed, is regarded as a physical change ; while any change which arises from an alteration in the structure of the molecule is a chemical change. For example, the molecules of water consist of three separate atoms, one of oxygen and two of hydrogen ; any change which water can be made to undergo, in which these three atoms still remain associated together as the molecule, is a physical change. The water may be converted into ice, or it may be changed into steam ; but these alterations still leave the molecules intact the three atoms still remain united as an unbroken system, and so long as this is the case chemical change has not taken place. Suppose now the molecules of water are heated to a much higher temperature than that which is necessary to convert the water into steam, by passing electric sparks through the steam. It will then be found that a very different kind of change has come over the substance. The steam, after being so heated, no longer condenses to water again when cooled ; it has been changed into a gas which can be bubbled through water and collected in an inverted vessel filled with water standing in a pneumatic trough, and if a flame be applied to this gas a sharp explosion takes place. The change in this case is a chemical change, for the integrity of the molecules of water has been destroyed. The two atoms of hydrogen have become detached from the oxygen atom, and the original triune structure of the system is destroyed. Atoms are therefore defined as the smallest particles 'which can take part in a chernical * The study of the phenomena of radioactivity has led to the belief that atoms are not indivisible particles of matter, but that they are themselves systems, which under certain circumstances are capable of undergoing change by ejecting from themselves relatively minute portions of the system called electrons. (See p. 104; also Appendix.) The precise nature of these electrons still belongs to the realm of speculation, and the changes resulting from their movements do not belong to the category of " chemical change" as the term is here employed. CHAPTER II ELEMENTS AND COMPOUNDS THERE are certain molecules in which all the atoms present are of the same kind, and there are other molecules which are com- posed of atoms which differ from one another. Thus, in the substance sulphur, all the atoms composing the molecules are alike ; while in water, as already mentioned, there are two distinct kinds of atoms in the molecule. Matter, therefore, is divided into two classes, according as to whether its molecules are composed of similar or of dissimilar atoms. Molecules consisting of atoms of the same kind are termed elementary molecules, and substances whose molecules are so constituted are known as elements ; mole- cules, on the other hand, which contain dissimilar elements are called compound molecules, and substances whose molecules are thus composed are distinguished as compounds. Sulphur, therefore, is an element, and water is a compound. It will be evident that in the case of elementary molecules, whatever processes they may be subjected to, only one kind of matter can be obtained from them ; while in the case of compounds, the molecules consisting of dissimilar atoms, as many different kinds of matter can be obtained as there are different atoms present. By appropriate means the atoms of hydrogen and oxygen in water molecules can be separated, and two totally different kinds of matter, namely, hydrogen and oxygen, can be obtained from this compound. At the present time there are about seventy substances known to chemists which are believed to be elements. In the history of the science it has frequently happened that substances which were considered to be elements have proved, when subjected to new methods of investigation, to be in reality compound bodies : thus, prior to the year 1783, water was thought to be an elementary substance ; it was indeed regarded as the very type of an element, until Cavendish and Lavoisier proved that it was composed of two entirely different kinds of matter. In the year 1807 Sir Elements and Compounds 7 Humphry Davy showed that the substances known as potash and soda, which were believed to be elements, were in reality compound bodies, and he succeeded in separating the constituent atoms in the molecules of these substances, and in obtaining from them two essentially different kinds of matter. It is therefore quite possible, perhaps even probable, that some at least of the forms of matter which are now held to be elements may yet prove to be compound bodies. On the other hand, the list is from time to time extended by the discovery of new elements. Thus during the last few years at least five new members have been added to the number. The number of compounds is practically infinite. The elements are very unequally distributed in nature, and are of very different degrees of importance to mankind. Some are absolutely essential to life as it is constituted, while others might be blotted out of creation without, so far as is known, their absence being appreciated. The following thirty elements include all the most important (for the complete list see page 22) : Aluminium. Gold. Oxygen. Antimony. Hydrogen. Phosphorus. Arsenic. Iodine. Platinum. Bismuth. Iron. Potassium. Bromine. Lead. Silicon. Calcium. Magnesium. Silver. Carbon. Manganese. Sodium. Chlorine. Mercury. Sulphur. Copper. Nickel. Tin. Fluorine. Nitrogen. Zinc. On account of certain properties common to a large number of the elements, and more or less absent in others, properties which are for the most part physical in character, the elements are divided into two classes, known as metals and non-metals. The metals generally are opaque, and their smoothed surfaces reflect light to a high degree, thus giving them the appearance known as metallic lustre. They also conduct heat and electricity. Gold, silver, copper, iron, are metals ; sulphur, bromine, oxygen, phos- phorus, are non-metals. These two classes, however, gradually merge into one another, and certain elements are sometimes placed in one division and sometimes in the other, depending upon whether the distinction is based more upon their physical 8 Introductory Outlines or their chemical properties : thus, the element arsenic possesses many of the physical properties of a metal, but in its chemical relations it is more allied to the non-metals ; such elements as these are often distinguished by the name metalloids. The follow- ing list embraces all those elements which by common consent are regarded as non-metals and metalloids, including the recently discovered elements of the argon group, which are here printed in italics : Arsenic. Fluorine. Phosphorus. Helium. Boron. Hydrogen. Selenium. Neon. Bromine. Iodine. Silicon. Argon. Carbon. Nitrogen. Sulphur. Krypton. Chlorine. Oxygen. Tellurium. Xenon. The number of atoms which compose the various elementary molecules is not the same in all cases : thus in the elements sodium, potassium, cadmium, mercury, and zinc, the molecules, when the elements are in a state of vapour, consist of only one atom. The same is true also of the newly discovered elements in the last column. The molecules of all these substances are single particles of matter. The terms molecule and atom, therefore, as applied to these elements, are synonymous. Such molecules as these are called mono-atomic molecules. In many cases elemen- tary molecules consist of two atoms ; such is the case with the elements hydrogen, bromine, chlorine, oxygen, nitrogen, and others. Elementary molecules of this twin or dual nature are known as di-atomic molecules. Only one instance is known in which an elementary molecule consists of a trio of atoms, namely, the molecule of ozone, which is an aggregation of three oxygen atoms. This molecule is said to be tri-atomic. In two cases, namely, arsenic and phosphorus, the molecules are composed of a quartette of atoms, and these elements, therefore, are said to form tetr-atomic molecules. In a large number of instances the atomic constitution of the molecule of the elements is not known. These terms, mono-atomic, di-atomic, &c., are applied exclu- sively to molecules of elements, and are not used in reference to compounds, where the molecules are composed of dissimilar atoms. Mechanical Mixtures. When molecules of different kinds of matter are brought together, one of two results may follow : either they will merely mingle together without losing their identity, that Mechanical Mixtures 9 is to say, the atoms composing the individual molecules will still remain associated together as before, or the atoms in the molecules of one kind will attach themselves to certain atoms present in molecules of another kind to form still different molecules ; in other words, there will be a redistribution of the atoms, whereby diffe- rent systems or molecules are produced. In the first case the result is said to be a simple or mechani- cal mixture, in the second it is the formation of a chemical compound. In a simple mixture the ingredients can be again separated by purely mechanical methods ; and as the properties of a substance are the properties of the molecules of that substance, it follows that if the integrity of the molecules is not broken, the properties of a mechanical mixture will be those of the ingredients. For example, oxygen is a colourless gas without taste or smell ; hydrogen also is a colourless gas without taste or smell : when these two gases are mixed together, the mixture is gaseous, is colourless, and tasteless, and, being- only a mixture, the molecules of one gas can be readily sifted away from the other. Again, charcoal is a black solid, insoluble in water ; sulphur is a yellow solid, also insoluble in water ; nitre is a white solid, readily dissolved by water : when these three substances are finely powdered and mixed together, the result is a mechanical mixture, which is solid, and which is dark grey or nearly black in colour. If this mixture be placed in water, the nitre is dissolved away and the charcoal and sulphur are left. When, however, the integrity of the molecules is disturbed, and a rearrangement of the atoms takes place, resulting in the formation of new molecules, then it is said that chemical action has taken place. Chemical action, therefore, always results in the formation of new molecules new molecules which are endowed with their own special properties, differing often in the most remarkable and quite inexplicable manner from those of the original molecules. One or two examples may be quoted in order to illustrate this extraordinary modifying effect of chemical action. The two colourless gases, oxygen and hydrogen, when simply mixed to- gether, give rise, as already mentioned, to a colourless, gaseous mixture, in which the dual molecules of hydrogen and the simi- larly constituted oxygen molecules move about freely amongst IO Introductory Outlines each other. By suitable means chemical action may be made to take place between these two elements, whereby a complete rearrangement of the atoms takes place, resulting in the formation of molecules of water molecules in which, as has been already mentioned, one atom of oxygen is associated with two atoms of hydrogen. The product of the chemical action is therefore water, while both the forms of matter of which it is composed are gaseous. The air we breathe, and which is necessary to life, consists of a simple mixture of two colourless gases, viz., oxygen and nitrogen. When chemical action takes place between these substances, a brown-coloured gas is produced in which no animal or vegetable life could exist for many minutes, on account of its suffocating nature. Common salt, which is a white solid substance, and not only harmless, but even a necessary article of food, contains two atoms in its molecules one an atom of chlorine, and the other an atom of sodium. Chlorine is a yellow gas, intensely suffocating and poisonous ; and sodium is a soft, silver-like metal, which takes fire in contact with water. Why it is that a molecule, consisting of an atom of chlorine and an atom of sodium held together by chemical affinity, should be endowed with properties so totally different from those of the contained elements, is altogether unknown ; and similarly, it is quite impossible to predicate from the properties of any compound what are the particular elements of which it is composed. Thus, sugar is a white crystalline solid, soluble in water, and possessing a sweet taste ; but no one would have ventured to predict that the molecules of this substance were com- posed of atoms of carbon, a black, tasteless, insoluble solid ; hydrogen, a colourless, tasteless gas ; and oxygen, another colour- less, tasteless gas. Chemical Affinity. When molecules, consisting of two atoms, say A B, come in contact with molecules consisting of other two atoms, C D, and a chemical change takes place resulting in the formation of new molecules, A C and B D, the question naturally arises, Why does the atom A leave the atom B and attach itself to C ? In other words, what determines the rearrangement of the atoms into new molecules ? At present no exact answer can be given to this question. Chemists express the fact by saying that the chemical affinity Chemical Affinity 1 1 existing between A and C is greater than that exerted by B upon A. This remarkable selective power possessed by the atoms of different elements lies at the root of all chemical phenomena, and it differs between the various elements to an extraordinary degree. For example, the atom of chlorine possesses a very powerful chemical affinity for the atom of hydrogen : when hydrogen mole- cules, which consist of two atoms, are mixed with chlorine mole- cules, which are also aggregations of two atoms, at first a simple mechanical mixture is obtained, the two different kinds of mole- cules move amongst each other without undergoing change. On very small provocation, however, the affinity of the hydrogen atoms for the chlorine atoms can be caused to exert itself; by merely momentarily exposing the mixture to sunlight a complete redistri- bution of the atoms suddenly takes place with explosive violence and new molecules are formed, each containing one atom of hydrogen and one atom of chlorine. Again, an atom of nitrogen is capable of associating itself in chemical union with three atoms of the element chlorine, forming a compound whose molecules therefore contain four atoms. The chemical affinity between the atoms of chlorine and nitrogen is so feeble, the system is, so to speak, in a state of such unstable equilibrium, that the very slightest causes are sufficient to instantly separate the atoms in the most violently explosive manner, and so break up the compound molecules into separate molecules of chlorine and nitrogen. In this case the affinity between one chlorine atom and another chlorine atom is greater than that between chlorine and nitrogen, consequently the redistribution that results is of the opposite order to that of the former example. As a rule, those elements which the more closely resemble each other in their chemical habits have the least affinity for each other, while the greatest affinity usually exists between those which are most dissimilar. Chemical Action. The actual process of redistribution of the atoms that takes place when molecules of different kinds of matter are brought together is called chemical action. In many cases chemical action takes place when the substances are merely brought together, while in others it is necessary to expose the bodies to the influence of some external energy : thus chemical action is brought about in a great number of instances by the application of heat to the substances. In some cases the influence 12 Introductory Outlines of light has the effect of causing chemical action to take place ; for example, when the gases chlorine and hydrogen are mingled together, no chemical action takes place in the dark, but on exposing the mixture to light the hydrogen and chlorine combine, and form the compound hydrochloric acid. It is upon the effect of light in causing chemical action to take place that the art of photography depends. Chemical action may sometimes be induced by the influence of pressure ; thus, when the two gases, hydrochloric acid and phos- phoretted hydrogen, are subjected to increased pressure they combine together to form a crystalline solid compound known as phosphonium chloride. In the same way, by very great mechanical pressure, a mixture of powdered lead and sulphur can be caused to combine together, when they form the compound, lead sulphide. There are also a number of chemical actions that are only able to proceed in the presence of small quantities (often extremely small) of a third substance, which itself remains unchanged at the conclusion of the action. These cases are generally included under the name of catalytic actions : in some of them the modus operandi of the third substance can be traced (see Oxygen, Modes of Formation ; also Chlorine, Deacon's Process), while in others it is not understood. Thus it is found that a number of chemical actions are quite unable to take place if the materials are abso- lutely dry ; for example, the element chlorine has a powerful affinity for the metal sodium, and when these substances are brought together under ordinary conditions, chemical action in- stantly takes place, and the compound known as sodium chloride (common salt) is produced. If, however, every trace of moisture be perfectly removed from both the sodium and the chlorine, no action between these elements takes place when they are brought together, and so long as they remain in this state of perfect dryness no chemical change takes place. The admission into the mixture of the minutest trace of the vapour of water, however, at once induces chemical action between the chlorine and the sodium, but the exact part that the trace of moisture plays in producing this effect is not known with certainty. (See also foot-note, page 89.) A few interesting cases are known in which chemical action is brought about by the vibration caused by a loud sound or note ; for example, the molecules of the gas acetylene consist of two atoms of carbon associated with two of hydrogen. When a quantity of this gas is exposed to the report produced by the detonation of Chemical Action 13 mercury fulminate, the mere shock of the explosion causes a re- distribution of the atoms whereby solid carbon is deposited and hydrogen set free. We may suppose that the particular vibration produced by the detonation of the fulminate exercises a disturbing effect upon the motions of the atoms constituting the molecules of acetylene, and thereby causes them to swing beyond the sphere of their mutual attractions, and thus the system undergoes disruption and rearrangement. All known instances of chemical action can be referred to one of three modes, in which the rearrangement of the atoms can take place. (i.) By the direct union of two molecules to form a more complex: molecule. Thus, if CO and C1C1 represent two mole- cules between which chemical action takes place according to this mode, they unite to form a molecule containing the four atoms COC1C1. (2.) By an exchange of atoms taking place between different molecules. In its simplest form this is illustrated in the action of one element upon another to form a compound. Thus, if HH and C1C1 stand for two elementary molecules between which chemical action takes place, the result is the formation of the two molecules HC1 HC1. Such a process as this, in which a com- pound substance is produced directly from the elements which compose it, is termed synthesis. The same mode of chemical action may also be exemplified by the exact opposite to this process, namely, the resolution of a compound into its constituent elements. Thus, if OHH OHH represent two molecules of the same compound, when chemical action takes place it will result in the formation of the three elementary molecules OO, HH, and HH. Such a process as this, in which a compound is resolved into its elements, is known as analysis.* (3.) By a rearrangement of the atoms contained in a molecule. There are a number of instances of chemical change, in which the molecules of the substance do not undergo any alteration in their composition that is to say, no atoms leave the molecule, nor are any added to it. The molecule still consists of the same atoms after the change as it did before, but the chemical action has * It will be seen that in each of the examples here given, the process of rearrangement involves first the decomposition of one or both of the reacting molecules, and then the combination of the atoms to form different molecules. 14 Introductory Outlines caused them to assume new relative positions, or different relative motions with respect to each other. For example, the substances known to chemists as ammonium cyanate and urea are two totally different and distinct kinds of matter. These molecules, however, each contain the same atoms and in the same number ; they each consist of aggregations of one atom of carbon, one atom of oxygen, two atoms of nitrogen, and four atoms of hydrogen. When am- monium cyanate is gently warmed, the eight atoms composing the molecules undergo this process of rearrangement, and the substance is changed into urea. When chemical action takes place between two substances, say A and B, in ordinary language we say that A acts upon B. Such a statement, however, must not be understood to imply that A takes the initiative, so to speak, and that B is in any way less responsible for the action. It is equally true to say that B acts upon A. For instance, we commonly say nitric acid acts upon copper, hydrochloric acid acts upon zinc, nitric acid has no action upon gold, and so on ; but it is equally true to say copper acts upon nitric acid, zinc acts upon hydrochloric acid, gold has no action upon nitric acid. A more strictly scientific expression would be A and B react, or do not react, as the case may be. Thus, nitric acid and copper react, gold and nitric acid do not react. CHAPTER III CHEMICAL NOMENCLATURE THE names which have been given to the various elementary forms of matter are not based upon any scientific system. The names of some have their origin in mythology. Others have received names which are indicative of some characteristic property, while those of several bear reference to some special circumstance connected with their discovery. It has been the custom in modern times to dis- tinguish metals from non-metals by applying to the former names ending in the letters um, and consequently such metals as are of more recent discovery all have names with this termination. The common metals, however, which have been known since earlier times, such as gold, silver, tin, and copper, keep their old names. The two elements selenium and tellurium were at the time of their discovery thought to be metals, and they consequently received names with the terminal um ; these substances strongly resemble metals in many of their physical properties, but in their chemical relations they are so closely similar to the non-metal sulphur, that they are by general consent classed among the non-metals ; they are examples of those elements which are distinguished as metalloids. On this account selenium is by some chemists termed selenion. In naming chemical compounds, the chemist endeavours that the names employed shall not only serve to identify the sub- stances, but shall as far as possible indicate their composition. The simplest chemical compounds are those composed of only two different elements ; such are spoken of as binary compounds* and their names are made up of the names of the two elements composing them, thus * This expression is now sometimes used in a somewhat modified sense. Thus in the language of the ionic theory (p. 107) the term binary compound is used to denote a substance which dissociates into two ions, quite irrespective of the number of elements it may contain. It is to be regretted that under these circumstances a new word was not coined to denote the newer idea. 1 6 Introductory Outlines The compound formed by the chemical union of Hydrogen with sulphur is called hydrogen sulphide. Sodium ,, chlorine ,, sodium chloride. Copper ,, oxygen ,, copper oxide. Calcium ,, fluorine ,, calcium fluoride. Potassium ,, iodine ,, potassium iodide. It continually happens, however, that the same two elements combine together in more than one proportion, giving rise to as many different compounds, in which case it becomes necessary to so modify the names that each of the compounds may be dis- tinguished. This is accomplished by the use of certain terminal letters or of certain prefixes ; for example, the element phos- phorus combines with chlorine in two proportions, forming two different compounds in one the molecules contain one atom of phosphorus united to three atoms of chlorine, in the other the molecules consist of one atom of phosphorus associated with five of chlorine. These two compounds may be distinguished in the following ways : i atom of phosphorus with 3 atoms of chlorine forms phosphorous chloride. i , , , , , , 5 , , , , , , phosphorzV chloride. or i atom of phosphorus with 3 atoms of chlorine forms phosphorus /rzchloride. i ,, ,, ,, 5 ,, ,, ,, phosphorus /tachloride. The latter method of distinction is the more general, thus i atom of sulphur with 2 atoms of oxygen forms sulphur dioxide, i ,, ,, ,, 3 ,, ,, ,, sulphur trioxide. i atom of carbon with i atom of oxygen forms carbon monoxide, i ,, ,, ,, 2 atoms ,, ,, carbon dioxide. Occasionally the prefixes sub &&&proto are employed to denote these differences of composition, but their use is more limited, and is becoming out of vogue. When more than two compounds are formed by the union of the same two elements, the additional prefixes hypo, under, and^ter, over, are sometimes used. In a considerable number of instances the systematic names of familiar compounds give way to the vulgar or common names by which they are known, thus {Ammonia . . . Hydrogen nitride ^ Hydrochloric acid . Hydrogen chloride I Systematic Sulphuretted hydrogen . Hydrogen sulphide j names. Water .... Hydrogen monoxide ' Chemical Nomenclature 17 Binary compounds consisting of elements united with oxygen are called the oxides of those elements. Certain of these oxides are capable of reacting with water, giving rise to substances known as acids; such oxides are distinguished as acid-forming oxides, or acidic oxides. They are also sometimes termed anhydrides. All the non-metallic elements, except hydrogen and the members of the argon group, form oxides of this order, and the acids derived from them are known as the oxy-acids or hydroxy-acids. Certain other oxides also unite with water, but give rise to com- pounds known as hydroxides. When such oxides, which are all derived from the metallic elements, are brought into contact with acids, chemical action takes place, and a compound termed a salt is formed, together with water. Such oxides are distinguished as salt- forming or basic oxides. There are also oxides which are neither acidic nor basic. The names of oxy-acids are derived from the name of the particular oxide from which they are formed, thus Carbon dioxide gives carbonic acid. Silicon dioxide silicic acid. When the same element forms two acid-forming oxides, the terminals ic and ous are applied to the acids to denote respectively the one with the greater and the less proportion of oxygen, thus Sulphur /rzbxide gives sulphur/V acid. Sulphur tfVoxide gives sulphurous acid. Nitrogen / \\i o <^ HH B "2 o <^ ^C Q VO 4jj < II ^ < tt Aluminium Al 27 27.1 Molybdenum . Mo 96 96 Antimony (Sh'dinm) Sb 120 120.2 Neodymium . Nd 144 144-3 Argon .... A 40 39-9 Neon .... Ne 20 20.JL, Arsenic .... As 75 75- Nickel .... Ni 59 58.7 Barium .... Ba 137 137-4 Nitrogen . . N 14 I4.OI Beryllium (Glucinum) Be 9 9.1 Osmium . . Os 191 19*? Bismuth . . Bi 208 208.0 Oxygen .... O 16 16.00 Boron .... B 11 ii Palladium . . . Pd 106 106.7 Bromine Br 80 79.92 Phosphorus P 31 31.0* Cadmium . . . Cd 112 112.4 Platinum . . . Pt 195 1 95.X Caesium Calcium . . Cs Ca 133 40 13** 40.9* Potassium (Kal- ) ium] . . ( K 39 39.10 Carbon . . C 12 I2.OO Praseodymium . Pr 140-5 I40.fr Cerium .... Ce 140 140.25 Radium . . . Ra 226-4 226.4 Chlorine . . . Chromium . Cl Cr 35-5 52 35-4fc 52.1 i Rhodium . Rubidium . Rh Rb 103 85 103 8 5-45 Cobalt .... Co 59 5 8 -97 Ruthenium Ru 101-7 101.7 Columbium ) (Niobium] . ) Cb 93-5 93-5 Samarium Scandium . Sm Sc 150 44 150.4 44.1 Copper (Cuprum] Erbium . . Cu Er 63-5 166 63.6 Selenium . . . Silicon .... Se Si 79 28 79-2 28.3 Fluorine . . . F 19 Z 9~ Silver (Argentum] Ag 108 107.88 Gallium . , Ga 70 76 Sodium (Natrium Na 23 23.00 Germanium . Ge 72 72^5 Strontium . Sr 87-6 87.6 Gold (Aurum] Helium .... Hydrogen . . . Au He H 197 4 1 197(2 4 1.008 Sulphur Tantalum . Tellurium . S Ta Te 32 181 125 ? 32-0^ 127.6 Indium .... In 115 115 Thallium . . . Tl 204 204.0 Iodine .... I 127 126.92 Thorium . . . Th 232 232.4 Iridium .... Ir 193 I 93-/ Tin (Stannum] . Sn 118 119 Iron (Ferrum] Fe 56 55-85 Titanium . . . Ti 48 48.1 Krypton . . . Kr 81-5 sjty. , Tungsten . . . W 184 184 Lanthanum . La 139 '39 Uranium . U 238-5 238.5 Lead (Plumbum] Pb 207 207.10 Vanadium . . V 51-2 Lithium Li 7 7.0 X 128 7^ft <3^ Magnesium Mg 24 . 24.32 Ytterbium . Yb 172 172 Manganese . . Mn 55 X 54-93 Yttrium . . . Y 89 89 Mercury (Hydr- \ argyrum . j Hg 200 200. fo Zinc Zirconium Zn Zr 65 90-7 65.37 90.6 represented by the symbol O 3 , while the tetr-atomic character of the phosphorus molecule is expressed in the symbol P 4 . The composition of compound molecules is expressed by placing the Chemical Symbols 23 symbols of the atoms which compose such molecules in juxta- position : thus a molecule consisting of one atom of sodium (symbol Na) and one atom of chlorine (symbol Cl) is represented by the united symbols of these two elements, NaCl ; a compound con- sisting of one atom of carbon and one atom of oxygen by the symbols of these two atoms, CO. Such arrangements of symbols representing molecules are termed molecular formula, or, simply, formula. When the molecule contains more than one atom of any parti- cular element, this fact is indicated by the use of numerals placed immediately after the symbol to be multiplied : thus, a molecule of water consists of two atoms of hydrogen and one atom of oxygen ; \\\Q formula for water is therefore H 2 O. One molecule of ammonia, consisting of an atom of nitrogen with three atoms of hydrogen, is represented by the formula NH 3 ; and a molecule of sulphuric acid, which is an aggregation of two atoms of hydrogen, one atom of sulphur, and four atoms of oxygen, has the formula H 2 SO 4 . It is sometimes necessary to represent the presence in a mole- cule of certain groups of atoms, groups which seem to hold together and often to function as a single atom. This is accomplished by the use of brackets : thus (NH 4 ) 2 SO 4 is the formula for a molecule containing one atom of sulphur, four atoms of oxygen, eight atoms of hydrogen, and two atoms of nitrogen ; the nitrogen and hydrogen atoms being present as two groups, in each of which one nitrogen atom is associated with four hydrogen atoms. Such groups of atoms are termed compound radicals. When it is required to indicate more than one molecule of the same substance, numerals are placed immediately in front of the formula : thus 2H 2 O signifies two molecules of water, and 3NH 3 expresses three molecules of ammonia. By means of these symbols and formulae, chemists are enabled to represent, in a concise manner, the various chemical changes which it is the province of chemistry to examine. Such changes are usually termed chemical reactions, and they are represented in the form of equations in which the symbols and formulae of the reacting substances as they are before the change are placed on the left, and those of the substances which result from the change upon the right, thus H 2 + C1 2 = 2HC1 24 Introductory Outlines The sign + has a different significance as used on the left side of the equation to that which it bears upon the right. On the left hand it implies tfrat chemical action takes place between the substances, while on the opposite side it has the simple algebraic meaning. Thus, the second of the above equations is understood to mean, that when the compounds, mercuric chloride and potassium iodide, are brought together in such a way that chemical action results, a redistribution of the atoms will take place, resulting in the formation of mercury iodide and also potassium chloride. As further illustrations of the use of chemical symbols, the following three examples may be given as exemplifying the three modes of chemical action mentioned on page 13 : (1) NH 3 + HC1 = NH 4 C1. Ammonia combines with hydrochloric acid, and gives ammonium chloride. (2) H 2 SO 4 + Na 2 CO 3 = Na 2 SO 4 + CO 2 + H 2 O. Sulphuric acid reacts with normal sodium carbonate, and yields normal sodium sulphate, carbon dioxide, and water. (3) (CN)0(NH 4 ) = (NH 2 ) 2 CO. Ammonium cyanate is converted into urea. In all cases where the nature of the chemical change is under- stood, it is capable of expression by such equations, and as matter is indestructible, every atom present in the interacting molecules upon the left of the expression reappears on the right-hand side in some fresh association of atoms.* * See also Chemical Notation, chapter vii. CHAPTER V THE ATOMIC THEORY THE atomic view as to the constitution of matter, briefly sketched out in Chapter I., forms a part of what is to-day known as the atomic theory. When chemical changes were carefully studied from a quantita- tive standpoint, four laws were discovered in obedience to which chemical action takes place. These laws are distinguished as the laws of chemical combination. Three of these generalisations refer to quantitative relations as respects weight ; while one ex- presses quantitative relations with regard to volume, and only relates to matter in the gaseous state. I. Law of Constant Proportion. The same compound always contains the same elements combined together in the same proportion by weight; or expressed in other words, The weights of the con- stituent elements of every compound bear an unalterable ratio to each other, and to the weight of the compound formed. II. Law of Multiple Proportions. When the same tiun. elements confine f^gtithflf to form, more thnn nn^. Compound, tJie^ different weights of one of the elements which unite with a constant weight of the other bear a simple ratio to one another: or this law may be stated thus : \Vhen one element unites with another in two or more different proportions by weight, these proportions are simple multiples of a common factor. III. Law of Reciprocal Proportions, or Law of Equivalent Proportions. The weights of different elements which combine separately with one and the same weight of another element, are either the same as, or are simple multiples of, the weights of these different elements which combine with each other; or in other words, The relative proportions by weight in which the elements, A, B, C, D, &*c., combine with a constant weight of another element, X, are the same for their combinations with any other element, Y. 26 Introductory Outlines IV. Law of Gaseous Volumes, or The Law of Gay-Lussae. When chemical action takes place between gases, either elements or compounds, the volume of the gaseous product bears a simple relation to the volumes of the reacting gases. These four laws are the foundations upon which the whole superstructure of modern chemistry rests. (i.) The Law of Constant Proportions. When two sub- stances are mingled together, and remain as a mere mechanical mixture, they may obviously be present in any proportion, and it was at one time thought that when two substances entered into chemical combination with each other, they could do so also in any proportion, and that the composition of the resulting com- pound would vary from this cause. This belief was finally disproved, and the law of constant proportions definitely estab- lished by Proust in the year 1806. The same compound, therefore, however made, and from whatever source obtained, is always found to contain the same elements united together in the same proportion by weight. Thus, common salt, or, to adopt its systematic name, sodium chloride, which is a compound of the two elements sodium and chlorine, may be made by bringing the metal sodium into contact with chlorine gas, when the two elements unite and form this compound. It can also be made by the action of hydrochloric acid upon the metal sodium, or by adding hydrochloric acid to sodium carbonate, and by a variety of other chemical reactions. When the sodium chloride obtained by any or all of these processes is analysed, it is invariably found to contain the elements chlorine and sodium in the proportion by weight of I 10.6479, or, expressed centesimally Sodium . . 39.32 Chlorine . . 60.68 100.00 and when this is compared with the sodium chloride as found in nature, obtained either from the salt-mines of Cheshire, or the celebrated mines in Galicia, or by evaporating sea-water, it is found that the composition of the compound in all cases is exactly the same. In the same way the compound water, consisting of the two elements hydrogen and oxygen, whether it be prepared synthetically by causing the two elements to unite directly, or obtained from any natural source, as rain, or spring, or river, is The Atomic Theory 27 found to contain its constituent elements hydrogen and oxygen in the ratio by weight of i : 8, or, Hydrogen . . 11.12 Oxygen . . 88.88 IOO.OO If in the formation of sodium chloride by the direct combination of its constituent elements, an excess of either one or other be present beyond the proportions 39.32 per cent, of sodium and 60.68 per cent, of chlorine, that excess will simply remain unacted upon. If eight parts by weight of hydrogen and eight parts by weight of oxygen be brought together under conditions that will cause chemical action, the eight parts of oxygen will unite with one part of hydrogen, and the other seven parts of hydrogen merely remain unchanged. This fact, that elements are only capable of uniting with each other in certain definite proportions, marks one of the most characteristic differences between chemical affinity and those other forces, such as gravitation, that are usually distinguished as physical forces ; for although there are many instances known in which the extent to which a chemical action may proceed (that is, the particular proportion of the reacting bodies which will undergo the permutation that results in the formation of different mole- cules) is influenced by the mass of the acting substances, it never governs the proportion in which the elements combine in these compounds. It follows from the law of constant composition that the sum of the weights of the products of a chemical action will be equal to that of the interacting bodies ; and upon the validity of this law depend all processes of quantitative analyses. (2.) The Law of Multiple Proportions was first recognised by Dalton, who investigated certain cases where the same two elements combine together in different proportions, giving rise to as many totally distinct compounds. These proportions, however, were always found to be constant for each compound so produced, so that this law formed no contradiction to the law of constant composition. The simple numerical relation existing between the numbers representing the composition of such compounds will be evident from the following examples. The two' 3 *' compounds of * In Dalton's day these two substances were the only known compounds of carbon with hydrogen. 28 Introductory Outlines carbon with hydrogen, known as marsh gas and ethylene, are found to contain these elements in the proportions Marsh gas . . i part by weight of hydrogen with 3 parts of carbon. Ethylene i ,, 6 ,, ,, The two compounds of carbon with oxygen contain these ele- ments in the proportion Carbon monoxide . i part of carbon with 1.334 parts of oxygen by weight. Carbon dioxide i ,, ,, 2.667 > The elements nitrogen and oxygen form as many as five different compounds, in which the two elements are present in the propor- tions- Nitrous oxide . . i part of nitrogen with o. 571 parts of oxygen by weight. Nitric oxide. . . ,, ,, 1.143 ,. Nitrogen trioxide . ,, ,, i-7 T 4 Nitrogen peroxide ,, ,, 2.286 ,, ,, ,, Nitrogen pentoxide ,, ,, 2.857 The relative proportions of carbon combining with a constant weight of hydrogen in the two first compounds are as i : 2. Those of oxygen uniting with a constant weight of carbon in the second example are also as i : 2, while in the nitrogen series the relative proportions of oxygen in combination with a constant weight of nitrogen are as i : 2 : 3 : 4 : 5. (3.) Law of Reciprocal Proportions. Known also as the law of proportionality, or the law of equivalent proportions. When the weights of various elements, which were capable of uniting separately with a given mass of another element, were compared together, it was seen that these weights bore a simple relation to the proportions in which these elements combined amongst them- selves. For example, the elements chlorine and hydrogen each .separately combine with the same weight of phosphorus, the pro- portions being Phosphorus : chlorine = i Phosphorus : hydrogen = i The elements chlorine and hydrogen can combine together, and they do so in the proportion Chlorine : hydrogen = 35.5 : i but 35 : i = 3-43 : 0.097 Therefore the proportions by weight in which chlorine and The Atomic Theory 29 hydrogen separately combine with phosphorus is a measure of the proportion in which they will unite together. Again, the two elements carbon and sulphur each separately combine with the same weight of oxygen, the proportion being Oxygen : carbon = I '.0.375 Oxygen : sulphur = i : i But the elements carbon and sulphur themselves unite together, and in the proportion Carbon : sulphur = 0.1875 : r but 0.1875 : : = -375 : 2 Therefore the proportion by weight in which carbon and sulphur separately unite with the same mass of oxygen is a simple multiple of that in which these two elements combine together. These remarkable numerical relations will be rendered still more evident by comparing the proportions in which the members of a series of elements combine with a constant weight of various other elements : thus Hydrogen. Sodium. Potassium. Silver. Mercury. Chlorine. 0.02817 0.6479 1.02 3.04 2.816 unite separately with i part. It will be seen that the proportion in which these numbers stand to each other is as i : 23 : 39 : 107 : 100 : 35.5 Let us now compare these proportions with those in which the same elements unite with a constant weight of the element bromine Hydrogen. Sodium. Potassium. Silver. Mercury. Bromine. 0.0125 0.2875 0.4875 1.34 1.25 unite with i part, or as i : 23 : 39 : 107 : 100 : 80 Each of these five elements in like manner combines with oxygen, and the weights which are found to unite with a constant mass of oxygen are Hydrogea Sodium. Potassium. Silver. Mercury. Oxygen. 0.125 2.875 4- 8 75 I 3-3 8 I2 -5 unite with i part, again as i : 23 : 39 : 107 : 100 : 8 30 Introductory Outlines ./" The same relation will appear in the case of the combination of these five elements with a constant weight of sulphur Hydrogen. Sodium. Potassium. Silver. Mercury. Sulphur. 0.0625 I -437S 2.4375 6.69 6.25 unite with i part. or as i : 23 : 39 107 : 100 : 16 It is thus evident that the proportions in which the members of such a series combine with a constant weight of one element is the same as that in which they unite with a constant mass of another element. One part by weight of hydrogen combines with 35.5 parts of chlorine, 80 parts of bromine, 8 parts of oxygen, and 16 parts of sulphur that is to say, these proportions of these four elements satisfy the chemical affinity of I part of hydrogen ; they are therefore said to be equivalent. Twenty-three parts of sodium is likewise equivalent to 35.5 parts of chlorine, 80 parts of bromine, 8 parts of oxygen, and 16 parts of sulphur, and by the same reasoning it is also equivalent to i part of hydrogen, 39 parts of potassium, 107 parts of silver, and loo parts of mercury. These numbers, therefore, are known as the equivalent 'weights or the equivalents of the elements, or their combining proportions, and the combining weight of an element may therefore be defined as the smallest weight of that element which will combine with i part by weight of hvdrogen. This law of proportionality, or reciprocal proportion, was dis- covered by Richter, but it was left for Dalton to trace the connec- tion between these three generalisations. Dalton adopted and adapted an ancient theory concerning the ultimate constitution of matter which was expounded by certain of the early Greek philo- sophers. The exponents of this theory held that matter is built up of vast numbers of minute indivisible particles, in opposition to the antagonistic theory believed by others, namely, that matter was absolutely homogeneous and capable of infinite subdivision. Dalton embraced the ancient doctrine of atoms, and extended it into the scientific theory which is to-day known as Dalton's atomic theory, and is accepted as a fundamental creed by modern chemists. According to this theory, matter consists of aggregations of minute particles, or atoms, which are chemically indivisible. Dalton conceived that chemical combination takes place between atoms that is to say, when chemical action takes place between two elements, it is due to the union of their atoms ; the atoms, coming into juxtaposition with each other under the influence of chemical The Atomic Theory 31 affinity, are held together by the operation of this force. He further assumed that the atoms of the various elements possessed different relative weights, and that the relations existing between these weights was the same as that between the weights in which experi- ment had shown the elements to be capable of combining together. In other words, he said that the numbers representing the combin- ing proportion of the elements expressed also the relative weights of the atoms. Let us now see how this theory satisfies and explains the first three laws of chemical combination. (i.) The Law of Constant Composition. It has already been shown (p. 26) that the compound sodium chloride, wheresoever and howsoever obtained, contains the elements chlorine and sodium in the proportion Chlorine : sodium = I : 0.6479. These numbers have been shown on p. 29 to represent the com- bining proportions Chlorine : sodium = 35.5 : 23. Now the atomic theory states, that sodium chloride is formed by the union of atoms of chlorine with atoms of sodium, and that the relative weights of these atoms is expressed by the combining weights of the elements, namely, 35.5 and 23. If therefore, sodium is to combine with chlorine, since atoms are indivisible masses, it follows that the compound produced by the union of one atom of each of these two elements must always have the same composi- tion. (2.) The Law of Multiple Proportions. The ratio in which oxygen combines with hydrogen to form the compound water is seen on p. 27 to be as 8 : i. This number 8, therefore, we will for the present argument regard as the relative weight of the atom of oxygen.* Oxygen combines with carbon as already mentioned, forming two different compounds ; in the first, the elements are present in the proportion Carbon : oxygen = I : 1.334 = 6:8, * For reasons which will be explained later, chemists now regard the number 16 as representing (in round numbers) the relative weight of the atom of oxygen. 32 Introductory Outlines that is to say, in the proportion of one atom of carbon to one atom of oxygen. According to the theory, if the atom of carbon unites with more oxygen than one atom, it must at least be with two atoms. It may be with three or with four, but as the compound must be formed by the accretion of these indivisible atoms, the increment of oxygen must take place by multiples of 8. When the second compound is examined it is found to contain its constituent elements in the proportion Carbon : oxygen =i : 2.667 = 6 : 16, that is to say, in the proportion of one atom of carbon to two atoms of oxygen. This information respecting the composition of these two compounds is conveyed both in their names and their formulas. The first is termed carbon monoxide, and its formula is expressed by the symbol CO ; while the second is distinguished as carbon dioxide, and has the formula CO 2 . The difference in the composition of the five compounds that nitrogen forms by union with oxygen will be made evident by the aid of this theory. The proportion of nitrogen to oxygen in these compounds is (i.; Nitrogen : oxygen = i : 0.571 = 14 : 8 (2.) Nitrogen : oxygen = i : 1.143 = 14 : 16 (3.) Nitrogen : oxygen = i : 1.714 = 14 : 24 (4.) Nitrogen : oxygen = i : 2.268 = 14 : 32 (5.) Nitrogen : oxygen = i : 2.857 = 14 : 40 And it will be seen that the increase in the proportion of oxygen in the compounds takes place by the regular addition of a weight of that element equal to 8, which at the present stage of the argument we are regarding as representing the relative weight of the atom of oxygen. (3.) The Law of Reciprocal Proportions. If the illustrations given on p. 28 of the operation of this law be examined in the light of the atomic theory, their explanation will be evident : thus, the relative proportions in which hydrogen and chlorine separately combine with phosphorus is 0.097 : 3.43, and the ratio between these numbers is as I : 35.5, which is the proportion in which these two elements are known to unite together to form hydrochloric acid. These numbers, however, represent the relative weights of the atoms of these elements, therefore hydrochloric acid may be sup- posed to be formed by the union of one atom of hydrogen with one atom of chlorine. The Atomic Theory 33 Again, the relative weights of carbon and sulphur which sepa- rately combine with a constant weight of oxygen are carbon, 0.375 ; sulphur, i ; and the ratio between these numbers is as 6 : 16. Carbon and sulphur, however, unite together in the relative proportion Carbon : sulphur = 0.1875 : I = 6 : 32. Therefore the compound they produce may be supposed to consist of one atom of carbon, having the relative weight 6, and two atoms of sulphur, each with the relative weight 16. CHAPTER VI ATOMIC WEIGHTS IN the third column of the table on page 22, the numbers are given which are at the present time generally accepted by chemists as representing the approximate atomic weights of the elements. These numbers depart, in many instances, from those arrived at by Dalton's methods : thus, the relative weights of carbon, oxygen, nitrogen, and sulphur, which were found to be equivalent to one part of hydrogen, are carbon = 6,* oxygen = 8, nitrogen = 4.66, sulphur = 1 6 ; while the figures given as the approximate atomic weights of these elements in the table are carbon = 12, oxygen = 1 6, nitrogen = 14, sulphur = 32. We must now discuss some of the chief reasons for these departures. In the two compounds of carbon and hydrogen known to Dalton, namely, marsh gas and ethylene, the proportions of carbon to hydrogen are In ethylene . . . Carbon : hydrogen = 6 : I. In marsh gas . . Carbon : hydrogen = 6:2. Dalton therefore concluded that ethylene was a compound con- taining i atom of carbon united with i atom of hydrogen, and to which, therefore, he gave the formula CH ; and that marsh gas consisted of I atom of carbon combined with 2 atoms of hydrogen, and which he accordingly represented by the formula CH 2 . There was, however, nothing to prove that the weight of carbon was constant in the two compounds, for it will be obvious that the same ratio between the weight of carbon and hydrogen will still be maintained by assuming that the hydrogen is constant, and that the carbon varies, thus In marsh gas . . Hydrogen : carbon : : I : 3. In ethylene . . Hydrogen : carbon : : i 13x2. * These are the numbers which Dalton ought to have obtained had his methods of determination been more exact. The figures he actually found for the combining weights of these four elements were respectively, 5, 7, 5, 13. 34 Atomic Weights 35 That is to say, the ratios are not disturbed by the assumption that in marsh gas we have I atom of hydrogen combined with i atom of carbon, having the relative combining weight of 3, and in ethylene I atom of hydrogen united with 2 atoms of carbon. It will be evident, however, that if we could gain any exact information as to the actual number of atoms which are present in these various molecules, this difficulty would no longer exist. For example, suppose it were possible to ascertain that in the molecule of marsh gas there were 4 atoms of hydrogen, then as the relative weights of hydrogen and carbon in this compound are as I : 3, the weight of the carbon atom would obviously have to be raised from 3 to 12 ; and if it could be determined that in the ethylene molecule there were also 4 atoms of hydrogen, then seeing that the ratio of hydrogen to carbon in this substance is as i : 6, we should conclude that it contained 2 atoms of carbon, of the relative weight not less than 12, and the composition of the two compounds would be expressed by the formulae, marsh gas CH 4 , ethylene C 2 H 4 . Again, the relative weights of hydrogen and oxygen in water are as i : 8. If the molecule of water contains only i atom of hydrogen, then we conclude that 8 represents the relative weight of the oxygen atom, and the formula for water will be HO. But suppose it to be discovered that there are two atoms of hydrogen in a molecule of this compound, then it becomes necessary, in order to retain the ratio between the weight of these constituents (a ratio ascertained by analysis), to double the number assigned to the oxygen atom and to regard its weight as 16, as compared with i atom of hydrogen, and the formula for water in this case would be H 2 O. The compound ammonia contains the elements hydrogen and nitrogen in the ratio Hydrogen : nitrogen : : i : 4.66. If the molecule of ammonia contains only i atom of hydrogen, then 4.66 represents the relative weight of the nitrogen atom, and the formula will be NH ; but if it should be found that there are 3 atoms of hydrogen in this molecule, then again the relative weight assigned to the nitrogen must be trebled in order to pre- serve the ratio, and it will have to be raised from 4.66 to 14 (in round numbers), and the formula for ammonia will be NH 3 . From these considerations it will be evident, that it is of the 36 Introductory Outlines highest importance to gain accurate knowledge as to the actual number of atoms which are contained in the molecules of matter in other words, to learn the true atomic composition and structure of molecules ; and it may be said that this problem has occupied the minds of chemists from the time that Dalton published his atomic weights, in the year 1808, down to the present time. There is no single method of general application, by means of which chemists are able to determine the atomic weight of an element ; but they are guided by a number of independent considerations, some of which are chemical in their character, while others are of a physical nature ; and that particular number which is in accord with the most of these considerations, or with what are judged to be the most important of them, is accepted as the true atomic weight. The chief methods employed for determining atomic weights may be arranged under the following four heads : 1. Purely chemical methods. 2. Methods based upon volumetric relations. 3. Methods based upon the specific heats of the elements. 4. Method based upon the isomorphism of compounds. I. As an illustration of the chemical processes from which atomic weights may be deduced, the following examples may be given, namely, the case of the two elements oxygen and carbon. Oxygen combines, as already stated, with hydrogen in the proportion Hydrogen : oxygen = i : 8. When water is acted upon by the element sodium, the compound is decomposed and hydrogen is evolved ; and it is found that if 1 8 grammes of water are so acted on, I gramme of hydrogen is evolved, and 40 grammes of a compound are formed, which contains sodium, together with all the oxygen originally in the 18 grammes of water, and some hydrogen. This compound, under suitable conditions, can be acted upon by metallic zinc, and when these 40 grammes are so acted on, i gramme of hydrogen is again evolved, and 72.5 grammes are obtained of a compound containing no hydrogen, but sodium and zinc combined with all the oxygen originally contained in the 18 grammes of water. It will be evident, therefore, that the hydrogen contained in water can be expelled in two equal moieties ; there must, therefore, be two atoms of hydrogen in this compound. By no known Atomic Weights 37 process can the oxygen be withdrawn from water in two stages : thus, if 1 8 grammes of water are acted upon by chlorine, under the conditions in which chemical action can take place, 73 grammes of a compound containing only chlorine and hydrogen are formed, and the whole of the oxygen is thrown out of combination and evolved as gas. It is therefore concluded that water contains in its mole- cule 2 atoms of hydrogen and I atom of oxygen, and as they are combined in the relative proportion of I : 8, the atomic weight of oxygen cannot be less than 16. No compounds have been found in which a smaller weight of oxygen, relative to one atom of hydrogen, than is represented by the number 16 (approximately), is known to take part in a chemical change. The compound marsh gas contains hydrogen and carbon in the proportion by weight of 1:3. By acting on this compound with chlorine, it is possible to remove the hydrogen from it in four separate portions. By the first action of chlorine upon 16 grammes of marsh gas, i gramme of hydrogen is removed in combination with 35.5 grammes of chlorine, and a compound containing carbon, hydrogen, and chlorine, in the ratio 12 : 3 : 35.5, is formed. By the successive action of chlorine, three other moieties of hydrogen can be thus withdrawn, each being in combination with its equivalent (35.5 parts) of chlorine. The second and third com- pounds that are formed contain carbon, hydrogen, and chlorine in the ratios 12:2: (35.5 x 2) and 12:1: (35.5 x 3). The compound produced by the fourth action of chlorine, which withdraws the fourth portion of hydrogen, contains only carbon and chlorine, in the ratio 12 :(35-5 x 4). From the fact that the hydrogen contained in marsh gas can thus be removed in four separate portions, the molecule must contain four hydrogen atoms, and therefore the atomic weight of carbon must be at least 12. No compounds of carbon are known in which a smaller weight of carbon, relative to one atom of hydrogen, than is represented by the number 12, takes part in a chemical change. The definition of atomic weight, furnished by considerations of a chemical nature, may be thus stated : the atomic weight of an element, is the number which represents how many times heavier the smallest mass of that element capable of taking part in a chemical change is, than the smallest weight of hydrogen which can so function. 38 Introductory Outlines The choice of hydrogen as the unit of atomic weights is a purely arbitrary selection ; but since atomic weight values can only be determined relatively, it becomes necessary to select some one element and to assign to its atom some particular number to serve as a standard. As hydrogen is the lightest of all elements, Dalton originally adopted it, and arbitrarily fixed unity as the number which should stand for its atomic weight. The disadvantages of this particular unit are twofold : in the first place the number of elements that form hydrogen compounds that are suitable for atomic weight determinations is very small, whereas nearly all the elements form convenient oxygen compounds, or compounds with elements whose atomic weights with reference to oxygen are accurately known, and in actual practice such compounds are almost always made use of for such determinations. In the second place, the exact ratio of the weights of an atom of hydrogen and oxygen is not known with certainty, so that in calculating atomic weights that are determined with reference to oxygen, possible errors may arise. The ratio Hydrogen : Oxygen is not exactly i : 16. Various values have been obtained by different experimenters, and at the present time i : 15.88 is accepted as more nearly the truth. On account of the extreme difficulty of exactly determining this ratio, chemists are now generally agreed in adopting as the unit in all exact determi- nations of atomic weights a number which is -^th the weight of the atom of oxygen : that is to say, the atomic weight of oxygen is in reality the standard, and is fixed as 16, and the unit, instead of being the weight of one atom of hydrogen, is T ^th of this number. The effect of this change is only of importance in cases of chemical investiga- tion where a high degree of exactitude is required ; for purposes of ordinary analyses and chemical calculations the difference that it makes is practically nil. Fixing the atomic weight of oxygen at 16 merely raises the atomic weight of hydrogen from i to 1.008. As the use of small decimal fractions introduces unnecessary complications which tend to obscure simple processes of reasoning, the approximate atomic weights given in the third column of page 22 will be employed for the most part in the following Introductory chapters. The student will frequently meet with slight discrepancies between the numbers given as the atomic weights of various elements by different writers. Such discrepancies are often due to the fact that in some cases H = i is used as the standard, and in others O = 16. For example, the atomic weight of gold will be 195.7 in the first case, and 197.2 in the second; while with the lighter metal aluminium the numbers will be 26.9 as against 27.1. The discrepancy may also arise from the fact that the determination of atomic weights by different experimenters often vary very considerably. With a view to arrive at some uniformity, a conference of representative chemists was held to consider the subject, and the atomic weights finally decided upon by them were published under the title of International Atomic Weights. A revised list of these weights is published annually in the Berichte, and in the fourth column of the table on p. 22 will be found the latest values (1907). 2. Determination of Atomic Weights from Considerations based upon Volumetric Relations. The Law of Gaseous Volumes. In the year 1805 the fact was discovered by Gay- Lussac and Humboldt, that when i litre of oxygen combines with Atomic Weights 39 2 litres of hydrogen the vapour of water (or steam) which was produced occupied 2 litres, the volumes in all cases being measured under the same conditions of temperature and pressure.* This fact led to the discovery of the simple relation existing between the volumes of other reacting gases and the volume of the products : thus it was found that I vol. of hydrogen unites with I vol. of chlorine, and gives 2 vols. of hydrochloric acid. 1 vol. of hydrogen unites with I vol. of bromine vapour, and gives 2 vols. of hydrobromic acid. 2 vols. of hydrogen unite with I vol. of oxygen, and give 2 vols. of steam. 2 vols. of carbon monoxide unite with I vol. of oxygen, and give 2 vols. of carbon dioxide. 1 vol. of carbon monoxide unites with i vol. of chlorine, and gives i vol. of phosgene gas. In the same way with compounds that cannot be obtained by the direct union of their constituent elements, it is found that on being subjected to processes of decomposition similar simple volumetric relations exist : thus by suitable methods of decom- position 2 vols. of ammonia gas yield i vol. of nitrogen and 3 vols. of hydrogen. 2 vols. of nitrous oxide yield 2 vols. of nitrogen and i vol. of oxygen. 2 vols. of nitric oxide yield i vol. of nitrogen and I vol. of oxygen. I vol. of marsh gas yields 2 vols. of hydrogen and some solid carbon, which cannot be volatilised, and therefore its vapour volume is unknown. i vol. of ethylene yields 2 vols. of hydrogen and solid carbon as in the preceding. The observations of these and similar facts gave rise to the law of Gay-Lussac, and it will be seen that there is evidently a close connection between the simple 'volumetric relations and those existing between the multiple proportions by weight, in which one * For the relations of gaseous volumes to temperature and pressure the student is referred to chapter ix. , on the general properties of gases. 40 Introductory Outlines element unites with another. For example, in the two oxides of nitrogen the ratios of the two elements by weight are Nitrous oxide . . . Nitrogen : oxygen = 28 : 16. Nitric oxide . . . Nitrogen :oxygen=i4 : 16, while the volumetric relation in which the two constituents are present is Nitrous oxide . . . Nitrogen : oxygen = 2 : I. Nitric oxide . . . Nitrogen : oxygen =i : i. In other words, there is twice as much nitrogen by weight in the one compound as in the other, and there is twice as much nitrogen by volume in the one as compared to the other. Moreover, if 14 and 1 6 respectively represent the relative weights of atoms of nitro- gen and oxygen, then the numbers representing the relative volumes in which these elements unite will also express the number of atoms of each in the molecule. The connection existing between the proportions in which elements unite by weight, and by volume, was first explained by the Italian physicist and chemist Avogadro, who in the year 1811 advanced the theory now recognised as a fundamental prin- ciple, and known as Avogadro's hypothesis. This theory may be thus stated : Equal volumes of all gases or vapours, under the same conditions of temperature and pressure, contain an equal number of molecules. If this be true, if there are the same number of molecules in equal volumes of all gases, it must follow that the ratio between the weights of equal volumes of any two gases will be the same as that between the single molecules of the particular gases. If a litre of oxygen be found to weigh sixteen times as much as a litre of hydrogen (under like conditions of tem- perature and pressure), inasmuch as there are the same number of molecules in each, the oxygen molecule must be sixteen times heavier than that of hydrogen ; and therefore by the comparatively simple method of weighing equal volumes of different gases, it becomes possible to arrive at the relative weights of their molecules. The relative weights of equal volumes of gases and vapours, in terms of a given unit, are known as their densities or specific gravities. Sometimes densities are referred to air as the unit, but more often hydrogen, as being the lightest gas, is taken as the standard. Taking hydrogen as the unit, the density or specific gravity of a gas is the weight of a given volume of it, as compared Atomic Weights 41 with the weight of the same volume of hydrogen or in other words, the ratio between the weight of a molecule of that gas and a molecule of hydrogen. The ratio that exists between the weight of a gaseous molecule and half the weight of a molecule of 'hydrogen, chemists term the molecular weight of that gas ; hence it will be obvious that the number which represents the molecular weight of a gas is double that of its density or specific gravity. If i litre of hydrogen and I litre of chlorine be caused to combine, 2 litres of gaseous hydrochloric acid are formed. As equal volumes of all gases (under like conditions) contain the same number of molecules, in the 2 litres of hydrochloric acid there must be twice as many molecules of that compound as there were of hydrogen molecules in the I litre, or of chlorine molecules in the other. But each molecule of hydrochloric acid is composed of chlorine and hydrogen (from other considerations one atom of each element), therefore there must have been at least twice as many atoms of hydrogen in the litre of that gas as there were molecules ; and by the same reasoning, twice as many chlorine atoms in the litre of chlorine as there were molecules : in other words, both hydrogen and chlorine molecules consist of two atoms. The molecular weight of hydrogen therefore is 2 ; that is, its molecule is twice as heavy as its atom. The atom of hydrogen is the unit to which molecular weights are referred, while the weight of the molecule of hydrogen is taken as the standard of densities or specific gravities. In order, therefore, to find the molecular weight of any gas or vapour, it is necessary to learn its density that is, to ascertain how many times a given volume of it is heavier than the same volume of hydrogen,* and to double the number so obtained.t The following table gives the densities or specific gravities of all the elements whose vapour densities have been determined. The list includes all those elements which are gases at the ordinary temperature, and those that can be vaporised under conditions * Certain exceptions to this rule are discussed under the subject of Dissocia- tion, chap. x. p. 88. f The specific gravity of hydrogen, as compared with air taken as unity, is 0.0695, or air is 14.3875 times heavier than hydrogen. If, therefore, it be desired to find the molecular weight of a given gas, whose density as compared with air is known, it is only necessary to multiply its density (air=i) by the number 14.3875, which gives its density as compared with hydrogen, and then to double the number so obtained. 42 Introductory Outlines which render such determinations experimentally possible. (Hy- drogen being taken as unity, the other numbers are the approxi- mate values, which for purposes of discussion are more suitable than figures that run to two or three decimal places.) Hydrogen I Helium ... 2 Neon . . . .10 Nitrogen . . .14 Oxygen . . .16 Fluorine . . 19 Argon . . .20 Sulphur . . -32 Chlorine . . . 35.5 Krypton . . -41 Selenium ... 79 Bromine ... 80 Iodine . . . 127 Sodium . . . 11.5 Potassium . . . 19.5 Zinc .... 32.5 Cadmium ... 56 Mercury . . . 100 Phosphorus . . 62 Arsenic . . .150 Xenon . . . 64.0 Let us now consider how the "knowledge of the relative weights of gaseous molecules is utilised in assigning a particular number as the atomic weight of an element. The molecular weight of chlorine is 71. It has been shown that the molecule certainly contains more than I atom, and probably 2, in which case 35.5 would represent the relative weight of the atom. The compound hydrochloric acid has the molecular weight 36.5. It has been already proved that this compound contains I atom of hydrogen, therefore 36.5 I =35.5. The compound carbon tetrachloride gives a molecular weight 154. Analysis shows that this compound contains 12 parts of carbon in 154 parts, therefore 15412=142 = 35.5x4. In these three molecules the weights of chlorine relative to the weight of i atom of hydrogen are 142, 35.5, and 71, the greatest common divisor of which is 35.5. This number, therefore, is selected as the atomic weight of chlorine. Again, it has been shown that by the action of metals upon water, the hydrogen contained in the water could be expelled in two separate portions, thus proving that there must be 2 atoms of hydrogen in the molecule of that compound. The molecular weight of water is found to be 1 8 ; deducting from this the weight of the two hydrogen atoms we get 18 2 = 16. The molecular weight of carbon monoxide is 28 ; 28 parts of this compound contain 12 parts of carbon, therefore 28-12 = 16. Atomic Weights 43 The molecular weight of carbon dioxide is 44 ; 44 parts of this compound also contain 12 parts of carbon, therefore 44-12 = 32. When i litre of oxygen combines with two litres of hydrogen, 2 litres of water vapour are formed ; there are therefore twice the number of water molecules produced as there are oxygen mole- cules (since by Avogadro's hypothesis 2 litres contain twice as many molecules as i litre). But each water molecule contains certainly i atom of oxygen, therefore the original oxygen molecules must have consisted of not less than 2 atoms. When the density of oxygen is determined it is found to be 16, its molecular weight therefore is 32. In these four various molecules the weights of oxygen relative to the weight of I atom of hydrogen are 16, 16, 32, 32, the greatest common divisor of which is 16. This number, therefore, is selected as the atomic weight of oxygen. Again, it has already been shown that in the compound ammonia, the hydrogen can be removed in three separate moieties, proving that there must be three atoms of that element in the molecule. The molecular weight of ammonia is found to be 17, therefore 17 3 = 14, which is the weight of the nitrogen. The molecular weight of nitrous oxide is 44 ; 44 parts of this compound are found to contain 16 parts of oxygen and 28 parts of nitrogen. The molecular weight of nitric oxide is 30 ; 30 parts of this compound contain 16 parts of oxygen and 14 parts of nitrogen. The molecular weight of nitrogen is found to be 28. In these four different molecules the weights of nitrogen relative to the weight of i atom of hydrogen are 14, 28, 14, 28, the greatest common divisor of which is 14. The atomic weight of nitrogen, therefore, is regarded as 14. These three examples, namely, chlorine, oxygen, and nitrogen are instances of elements which are gaseous at ordinary tempera- tures ; but the same methods are applicable in the case of the non- volatile elements, such as carbon, provided they furnish a number of compounds that are readily volatile. On comparing the numbers in the foregoing table (p. 42), representing the densities of various elements, with the atomic weights of those elements as given on p. 22, it will be seen that in several cases the numbers given are approximately the same. This agreement is merely because the molecules of these elements consist of two atoms. The molecules of 44 Introductory Outlines helium, neon, argon, krypton, xenon, sodium, potassium, zinc, cadmium, and mercury consist of only one atom ; their atomic weights, therefore, will be the same as their molecular weights, that is, twice their densities. The elements arsenic and phosphorus, on the other hand, contain in their molecules four atoms that is to say, the number which represents the smallest weight of phosphorus and of arsenic, capable of taking part in a chemical change, is only half the density, and therefore a fourth of the molecular weight. The definition of atomic weight that is furnished by the con- sideration of volumetric relations may be thus stated. The atomic weight is the smallest weight of an element that is ever found in a volume of any gas or vapour equal to the volume occupied by one molecule of hydrogen at the same temperature and pressure. The volume occupied by one molecule of hydrogen is regarded as the standard molecular volume, while that occupied by an atom of hydrogen or, in other words, the atomic volume of hydrogen is called the unit volume. The standard molecular volume, therefore, is said to be two unit volumes; and as, from Avogadro's law, all gaseous molecules have the same volume, it follows that the mole- cules of all gases and vapours occupy two unit volumes. Atomic weight may therefore be defined as the smallest weight of an element ever found in two unit volumes of any gas or vapour. The molecular volume of a gas is its molecular weight divided by its relative density, a ratio which in all cases will obviously equal 2, that is, two unit volumes. The atomic volume of an element in the state of vapour is its atomic weight divided by its relative density. In the case of such elements as chlorine, nitrogen, oxygen, &c., whose molecules are diatomic, the quotient will be i that is to say, the atomic volume of these elements is equal to I unit volume. In the case of mer- atomic weight = 200 cury vapour, however, we have = : ' =2. density =100 The atomic volume of mercury vapour, therefore, is equal to 2 unit volumes, and is identical with its molecular volume. On the other hand, with the element phosphorus the atomic atomic weight = 31 volume is j . = -5j o r one-half the unit volume, and therefore one-fourth the molecular volume ; consequently, four atoms exist in this molecule. The method of determining atomic weights based upon volu- metric relations, when taken by itself, is not an absolutely certain Atomic Weights 45 criterion, for although the atomic weight of an element cannot be greater than the smallest mass that enters into the composition of the molecules of any of its known compounds, it might be less than this, as there is always the possibility of a new compound being discovered, in which the relative weight of an element is such as to make it necessary to halve the previously accepted atomic weight. 3. Determination of Atomic Weight from the Specific Heat of Elements in the Solid State. When equal weights of different substances are heated through the same range of tempera- ture, it is found that they absorb very different quantities of heat, and on again cooling to the original temperature, they consequently give out different amounts of heat. Thus, if I kilogramme of water, and I kilogramme of mercury be each heated to a temperature of 100, and then each be poured into a separate kilogramme of water at o, in the first case the resultant mixture will have a temperature of 50, while in the second it will only reach the temperature of 3.2; that is to say, while the water in cooling through 50 has raised the temperature of an equal weight of water from o to 50, the amount of heat in I kilogramme of mercury at 100 has only raised the temperature of an equal weight of water from o to 3.2, and in so doing has itself become lowered in temperature 100 - 3.2 = 96.8. The amount of heat contained, therefore, in equal weights of water and of mercury at the same temperature, as shown by these figures, is as 52. M.-J. i . 50 "96.8" '^' therefore it requires 30 times as much heat to raise a given weight of water through a given number of degrees as to raise an equal weight of mercury through the same interval of temperature, or the thermal capacity of mercury is 3*0 th that of water. The specific heat of a substance is the ratio of its thermal capacity to that of an equal weight of water ; or, the ratio between the amount of heat necessary to raise a unit weight of the sub- stance from o to i, and that required to raise the same weight of water from o to i ; thus, the specific heat of mercury is 3^, or 0.033. Water is chosen as the standard of comparison because it possesses the highest thermal capacity of all known substances ; the numbers, therefore, which express the specific heats of other substances are all less than unity. Dulong and Petit were the first to draw attention (1819) to a remarkable relation which exists between the specific heats and the atomic weights of various solid elements, whose specific heats 46 Introductory Outlines they themselves had determined. They found that the specific heats of the solid elements were inversely as their atomic weights ; that is to say, the capacity for heat of masses of the elements pro- portional to their atomic weight was equal. This law, known as the law of Dulong and Petit, may be thus stated : The thermal capacities of atoms of all elements in the solid state are equal. The thermal capacity of an atom is termed its atomic heat; hence the law may be more briefly stated, all elements in the solid state have the same atomic heat. This important constant is the product of the atomic weight into the specific heat. From the following table it will be seen that the number expressing the atomic heat is not perfectly constant : the departures from the mean . 6.4 are, as a rule, only slight, and may be attributed to the fact that the determinations are not always made upon the elements under conditions that are strictly comparable. At the end of the table, however, there are certain elements which appear to present marked exceptions to the law. Element. Specific Heat. Atomic Weight. / ] Ltomic Seat. Lithium . 0.94 X 7 = 6.6 Sodium 0.29 X 23 = 6.7 Potassium o.i 66 X 39 = 6. 5 Manganese O.I 22 X 55 = 6. 7 112 X 56 _ 6.3 Silver 0.057 X J 1 08 = J 6.1 Gold 0.032 X 196 = 6.2 Mercury (solid) 0.032 X 200 = 6.4 Lead 0.031 X 206.4 = 6.5 /'Beryllium 0.41 X 9-i = 3-7 1 Boron (cryst.) . 0.25 X ii ** 2.75 j Carbon (diamond) . 0.147 X 12 = 1.76 vSilicon (cryst). 0.177 X 28 = 4-95 It will be seen that, relatively speaking, the four elements which show a considerable departure from the law of Dulong are elements with low atomic weights. Low atomic weight, however, is not always accompanied by such deviation, as is shown in the case of lithium and sodium. When the different allotropes of carbon are experimented upon, it is found that the departure is not the same for each modification of the element, thus Atomic Weights 47 CM Specific Atomic Atomic Heat. Weight. Heat. Diamond . . . 0.147 x 12 = 1.76 Graphite . . . 0.200 x 12 = 2.40 Charcoal . . . 0.241 x 12 = 2.90 It has been observed that, as a general rule, the specific heat of an element is slightly higher at higher temperatures ; but in the case of the four elements showing abnormal atomic heats, this increase rises rapidly with increased temperature, until a certain point is reached, when it remains practically constant, and repre- sents an atomic heat which closely approximates to the normal value ; thus in the case of diamond, the specific heat at increasing temperatures is Specific Atomic Atomic Heat. Weight. Heat. Diamond at 10.7 . . . 0.1128 x 12 = 1.35 45 . . . 0.1470 x 12 = 1.76 206 . . . 0.2733 x 12 = 3.28 607 . . . 0.4408 x 12 = 5.30 806 . . . 0.4489 x 12 = 5.4 985 . . . 04589 X 12 = 5.5 The same result is seen in the case of graphite, and it is also to be remarked, that while at low temperatures there exists a wide difference between the specific heats of these two modifications of carbon, this difference vanishes at a temperature of about 600. Specific Atomic Atomic Heat. Weight. Heat. Graphite at 10.8 . . . 0.1604 x 12 = 1.93 61.3 . . . 0.1990 X 12 2.39 642 . . . 04454 x 12 = 5.35 978 . . . 04670 X 12 = 5.50 Both the elements boron and silicon are found to follow the same rule, and at moderate temperatures their atomic heats nearly approximate the normal constant. The case of the somewhat rare element beryllium is of special interest from another point of view, which will be referred to when treating of the natural classification of the elements : from the following numbers* it will be seen that its atomic heat very rapidly rises with moderate increase of temperature. * Humpidge. 48 Introductory Outlines Specific Atomic Atomic Heat. Weight. Heat. Beryllium at 100 . . . 0.4702 x 9.1 = 4.28 200 . . . 0.5420 x 9.1 = 4.93 4o 0.6172 x 9.1 = 5.61 500 . . . 0.6206 x 9. i = 5.65 The relation between atomic weight and specific heat, established by Dulong and Petit, is of service in the determination of atomic weights, not as a method of ascertaining the exact value with any degree of refinement, but rather as a means of deciding between two numbers which are multiples of a common factor. If specific heat x atomic weight = atomic heat, it will be obvious that, if we experimentally determine the specific heat, and divide that value into the constant atomic heat, 6.4, we obtain the approximate atomic weight. The two following examples will serve to illustrate the applica- tion of the method. The element indium combines with chlorine in the proportion Indium : chlorine = 37.8 : 35.5. If InCl is the formula, then 37.8 is the atomic weight of indium ; but from the chemical similarity between indium and zinc (whose chloride has the formula ZnCl 2 ), it was believed that the formula for indium chloride was InCl 2 , in which case, in order to preserve the ratio between the two elements, the atomic weight would have to be 37.8 x 2 = 75.6. When the specific heat of indium was determined,* it was found to be 0.057. Therefore the atomic weight must be raised by one-half, from 75.6 to 113.4, and the formula for the chloride will be InCl 3 . The element thallium combines with chlorine in the proportion Thallium : chlorine = 203.6 : 35.5. In some of its compounds thallium exhibits a strong resemblance to potassium, the chloride of which has the formula KC1. If the formula for the thallium chloride is T1C1, the atomic weight of the metal must be 203.6. In many respects thallium exhibits a striking analogy with lead, * Bunsen, 1870. Atomic Weights 49 the chloride of which has the formula, PbCl 2 . If thallium chloride has a corresponding formula, T1C1 2 , then the atomic weight of thallium must be raised to 407.2. When the specific heat of thallium was ascertained,* it was found to be 0.0335. 6.4 This result shows that the number 203.6 and not 407.2 is the atomic weight of thallium, and that the chloride has the formula T1C1. Molecular Heat of Compounds. The capacity for heat of an atom undergoes no alteration when the atom enters into combina- tion with different atoms in other words, the atomic heat of an element is the same in its compounds. The molecular heat of a compound (that is, the product of the molecular weight into the specific heat) will therefore be the sum of the atomic heats of its constituent elements. Hence it is possible to calculate what will be the atomic heat of an element which does not exist as a solid under ordinary conditions ; and therefore the atomic weight of such an element, as deduced from other considerations, is capable of verification, by determinations of the molecular heat of various of its compounds : thus The specific heat of silver chloride, AgCl, is 0.089 : Specific Molecular Molecular Heat. Weight. Heat. 0.089 x 143.5 = I2 '77- The atomic heat of silver = 6.1, therefore, as deduced from this compound, the atomic heat of chlorine is 12.77 6.1 = 6.6. Again, the specific heat of stannous chloride, SnCl 2 , is 0.1016: Specific Molecular Molecular Heat. Weight. Heat. 0.1016 x 189 = 19.2. The atomic heat of tin is 6.6, therefore the atomic heat of two atoms of chlorine, as deduced from this compound, is 19.2 6.6 = 12.6, giving 6.3 as the atomic heat of chlorine. The differences that appear in the value, as deduced from various compounds, are lessened, because the errors of the method are more equally distributed, if we divide the molecular beat by the number of atoms in the molecule. Thus, in the * Regnault. 50 Introductory Outlines two examples quoted, silver chloride consists of two atoms, while the molecule of stannous chloride contains three ; if, therefore, the molecular heats of these two compounds are divided respectively by 2 and by 3 we get as the value representing the atomic heat of chlorine. The element calcium combines with chlorine in the pioportion Calcium : chlorine = 20 : 35.5. If the atomic weight of calcium is 20, the formula will be CaCl, whereas if 40 is the atomic weight of the metal, the compound must be represented by the formula CaCl 2 . The molecular weight of CaCl would be 55.5, that of CaCU 1 1 i.o. When the specific heat of the compound was determined, it was found to be 0.1642. In order, therefore, to decide between the two values for the atomic weight of calcium, we calculate the molecular heat from both of the molecular weights, and divide the result by the number of atoms in the molecule in each case. On the supposition that Ca = 2o, and that CaCl represents the chloride : Cad. . Or, if Ca = 4o, and CaCl 2 is the formula for the chloride, then ~ ,-,, o.i642X 1 1 i.o CaCl. . . - 3 - _ The number 6.07, which nearly agrees with the constant 6.4, decides the value 40 as the atomic weight of calcium. The element calcium is one of those metals which it is very difficult to isolate and obtain in a state of purity, but when in recent years the specific heat of this metal was experimentally determined,* it was found to be 0.1704 : 0.1704x40 = 6.8. Thus affording direct confirmation of the value 40 for the atomic weight of calcium, which had been deduced from the molecular heat of its compounds. * Bun sen. Atomic Weights 51 Deductions based upon molecular heats of compounds are only trustworthy in the case of the most simply constituted compounds. 4. Determination of Atomic Weight from Considerations based on Isomorphism. It was early observed that certain rela- tions existed between the crystalline forms of compounds and their chemical composition. Mitscherlich found that certain substances having an analogous chemical composition, as, for example, sodium phosphate and sodium arsenate, crystallised in the same geometric form. In the year 1821 he stated his law of isomorphism as follows : " The same number of atoms, combined in the same way, give rise to the same crystalline form, which is independent of the chemical nature of the atoms, being influenced only by their number and mode of arrangement." Subsequent investigations, however, have shown that this statement is too general. In its broad sense as signifying the same crystalline form, isomorphism is found to exist 1. Between compounds containing the same number of atoms similarly combined, and which bear close chemical analogies to each other. c ( Zinc sulphate .... ZnSO 4 ,7H 2 O. Isomorphous < . , , , , _ * __.f _ I Magnesium sulphate . . . MgSO 4 ,7H. 2 O. , ( Hydrogen disodium phosphate . HNa 2 PO 4 ,12H 2 O. 13 ( Hydrogen disodium arsenate . HNa 2 AsO 4 ,12H 2 O. / Rubidium alum . . . . Rb 2 SO 4 ,Al 2 (SO 4 ) 3> 24H 2 O. Isomorphous < Potass ! um chrome alum '. ' K 2 SO 4 ,Cr 2 (SO 4 ) 3 ,24H 2 O. ) Potassium aluminium selenium ) \ alum ) 2. Between compounds containing a different number of atoms, but which also bear close chemical analogies to one another. , ( Ammonium chloride . . . NH 4 C1. Isomorphous < I Potassium chloride . . . KC1. Isomorphous { Ammonium sulphate . . (NH 4 ) 2 SO 4 . ( Potassium sulphate . . . K 2 SO 4 . 3. Between compounds containing either the same or a different number of atoms, and which exhibit little or no chemical analogies. T , ( Sodium nitrate .... NaNO 3 . Isomorphous < _ . . _ ^_ J (. Calcium carbonate . . . CaCO 3 . Isomorphous { Sodium sulphate (anhydrous) . Na 2 SO 4 . I Barium permanganate . . BaMn 2 O fl . 52 Introductory Outlines Isomorphism of this order, where little or no chemical relations exist between the compounds, is sometimes distinguished as isogonism. It must not be supposed, that because two chemically analogous compounds contain the same number of atoms, they will necessarily crystallise in the same form : there are indeed a large number of similarly constituted analogous compounds that do not exhibit isomorphism. No simple definition of isomorphism is possible, but the following test is generally accepted as a criterion, namely, the power to form either mixed crystals or layer crystals. Thus, when two substances are mixed in a state of liquidity, and allowed to crystallise, if the crystals are perfectly homogeneous, they are known as mixed crystals, and the substances are regarded as isomorphous. Or when a crystal of one compound is placed in a solution of another compound, and the crystal continues to grow regularly in the liquid, the compounds are isomorphous. Thus, if a crystal of potassium alum (white) be placed in a solution of manganese alum, the crystal continues to grow without change of form, and a layer of amethyst-coloured manganese alum is deposited upon it. In making use of the law of isomorphism in the determination of atomic weights, it is assumed that the weights of different atoms that can mutually replace each other without altering the crystal- line form are proportional to their atomic weights.* Thus, if we suppose that, in the case of the sulphates of zinc and magnesium, the atomic weight of zinc is known, viz., 65, and that of magnesium is doubtful ; from the fact of the isomorphism of the sulphates it may be premised that the elements are present in proportions relative to their atomic weights. Analysis shows that the proportion is 24 of magnesium to 65 of zinc, therefore 24 is pre- sumably the atomic weight of magnesium. In this way Berzelius corrected many of the atomic weights which in his day had been assigned to the elements. * The group (NH 4 ) may be regarded as an atom, having the relative weight 18. CHAPTER VII QUANTITATIVE CHEMICAL NOTATION THE use of chemical symbols and formulae, as a convenient means of representing concisely the qualitative nature of chemical changes, has been explained in chapter iv. We are now in a position to read into these symbols a quantitative significance, which at that stage it would have been premature to explain. The symbol of an element stands for an atom ; but, as we have now learnt, the atoms of the various elements have different relative weights, hence these symbols represent relative weights of matter. The symbol Na signifies 23 relative parts by weight of sodium, O stands for 16 relative parts by weight of oxygen, H for i part of hydrogen ; in other words, the weight of sodium represented by the symbol Na is 23 times as heavy as that which is conveyed by a symbol H. A chemical equation, therefore, is a strictly quantitative expression, in which certain definite weights of matter are present in the form of the reacting substances, and which reappear without loss or gain in the compounds resulting from the change. In this sense a chemical equation is a mathematical expression. Thus, the equation Na + Cl = NaCl, not only means that an atom of sodium combines with an atom of chlorine and forms i molecule of sodium chloride, but it also means 23 + 35-5 = 58.5 Na Cl NaCl. In other words, that sodium and chlorine unite in the relative pro- portion of 23 parts of the former and 35.5 parts of chlorine, and produce 58.5 parts of sodium chloride. In the same way, into the equation which expresses the action of 53 54 Introductory Outlines sulphuric acid upon sodium carbonate, we read the quantitative meaning of the symbols H 2 SO 4 + Na 2 CO 3 = Na 2 SO 4 + CO 2 + H 2 O. 2 46 46 32 12 32 12 2 64 48 64 32 16 98* + 106 = 142 + 44 + 1 8 That is to say, 98 parts by weight of sulphuric acid act upon 106 parts of sodium carbonate, producing 142 parts of sodium sulphate, 44 parts of carbon dioxide, and 18 parts of water. It will be evident that it becomes a matter of the simplest arithmetic to calculate the weight of any product that can be obtained from a given weight of the reacting substances ; or vice versa, to find the weight of any reacting substance which would be required to produce a given weight of the product of the action. Not only is information respecting the quantitative relations by weight embodied in a chemical equation, but when gaseous substances are reacting, the equation also represents the volu- metric relation between the gases. In order that the volumetric relations may be more manifest, the equations expressing the re- actions are written in such a manner as to represent the molecules of the substances. H + C1 = HC1 is an atomic equation, but as the molecule is the smallest particle which can exist alone, a more exact statement of the chemical change is made, by representing the action as taking place between molecules, thus H 2 + C1 2 = 2HCI. From such an equation we see that i molecule of hydrogen, or 2 unit volumes, unites with i molecule or 2 unit volumes of chlorine, and forms 2 molecules or 4 unit volumes of hydrochloric acid : or again 2 + 2H 2 = 2H 2 0. One molecule, or 2 unit volumes of oxygen, unite with 2 mole- cules, or 4 unit volumes of hydrogen, and produce 2 molecules of * The number obtained by adding together the weights of the atoms in a formula is known as a " formula weight," thus 98 is the formula weight of sulphuric acid. Quantitative Notanon 55 water, which when vaporised, and measured under the same con- ditions of temperature and pres