QUANTITATIVE DETERMINATIONS 91 (2) on page 88. If the base is added as a standard solution in measured excess and the unused portion is titrated by a standard acid the phosphorus (or the corresponding phosphoric anhy- dride) may be calculated. Variation in Composition.—It has been found that the ratio of molybdic anhydride to ammonium phosphate in the precipitate is somewhat variable unless the conditions of precipitation are standardized and kept constant. This is probably due to the coprecipitation of some free molybdic acid. Such varia- tions must occasion an error in the volumetric determination, since it is the molybdic anhydride or acid that furnishes the acid properties of the compound. If the method is followed as outlined the composition of the precipitate will be fairly accu- rately .represented by the formula already given. Titration.—Sodium hydroxide reacts as follows: (NH4)3P04.12Mo03 + 24NaOH >(NH4)3P04 + 12Na2Mo03 12H20. (1) Upon addition of acid any excess of base is neutralized and if the acid is added to a color change with phenolphthalein, tri- ammonium phosphate will have been changed to diammonium phosphate, since the normal salt is basic to this indicator. The net result is therefore to be expressed by the following equation: 2(NH4)3P04.12Mo03 + 46NaOH -* 2(NH4)2HPO4 + 23Na2Mo03 + (NH4)2Mo04 + 22H20. (2) It should be noted that it is necessary to have the solution cold when the excess of base is added and to have present suffi- cient water to prevent the escape of ammonia, which would be produced by reaction of ammonium phosphate with sodium hydroxide. Determination of Phosphorus in Rock Phosphate : Volumetric Method. — The molybdate solution that was used for the gravimetric determination may be used here also, first adding 5 cc of concentrated nitric acid to each 100 cc of solution. This additional acid serves to prevent the precipitation of molybdic acid. Prepare a half -normal solution of hydrochloric acid, standardizing against .sodium carbonate as directed on page 83, modifying the weights according to the different normality of this solution. Prepare a half- normal solution of sodium hydroxide in boiled and cooled water, standard- izing against the acid, using phenolphthalein.