WORK OF C. M. STINE. 



31 



Let X equal the total decrease in the number of grams of water eliminated from 



the sphere of action as solvent in the mixture, as compared with that eliminated 



in the separate solutions. 



39 ' 



Then X = diminution in number of grams of water eliminated by calcium 

 yy 



chloride, and X = diminution in number of grams of water eliminated by stron- 

 yy 



tium chloride (see tables 9 and 15 for the values of M in separate solutions). 



108.5 grams of water were eliminated by the calcium chloride as water of hydra- 

 tion in the 0.15 N separate solution of that salt (see table 9). 70.5 grams were 

 eliminated by the strontium chloride (see table 15). Therefore, 



(!) 



108.5 -0.39X = 1000- 



li 



70.5-0.61Z 



4186 



1000- 



Lca 



4461 



J Sr 



(2) 



Co 



and L Sr = 



4461 



891.5+0.39X, "~~ "* 929.5+0.61X 

 Let L = observed lowering for calcium chloride in the mixture; then, 



4186X0.15 . 922.5+0.61X 



1.503 -L[ = 



891.5+0.39X 

 4461X0.15 



929.5+0.61X 

 Combining equations (3) and (4), 



4186X015 



1.503 = 



+ 



1000 



884.5+0.39X 

 1000 



4461X0.15 



(3) 



(4) 



822+0.904X+.0002379X 2 ' 822+0.902X+0.0002379X 2 



From this equation the approximate value of X can be obtained. The values of 

 M and H for the mixture of calcium chloride and strontium chloride, thus obtained, 

 are given in table 18. The symbols have the usual significance. 



Table 18. Hydration in the Mixtures of Calcium Chloride and Strontium Chloride. 



m 



m c 



a 



M 



Sp. gr. 

 cor. 



M e 



H c 



0.3 CaCl 2 

 0.3 SrCl 2 . 

 0.5 CaCl 2 

 0.5 SrCl 2 . 

 0.7 CaCl 2 

 0.7 SrCl 2 . 

 0.9 CaCI 2 

 0.9 SrCl 2 . 

 1.3 CaCl 2 

 1.3 SrCl 2 . 

 1.7 CaCl 2 

 1.7 SrCl 2 . 

 2.1 CaCl 2 

 2.1 SrCl 2 . 



0.15 

 0.15 

 0.25 

 0.25 

 0.35 

 0.35 

 0.45 

 0.45 

 0.65 

 0.65 

 0.85 

 0.85 

 1.05 

 1.05 



0.625 

 0.699 

 0.590 

 0.647 

 0.560 

 0.610 

 0.519 

 0.583 

 0.461 

 0.521 

 0.408 

 0.466 

 0.352 

 0.414 



4.186 

 4.461 

 4.056 

 4.266 

 3.942 

 4.127 

 3.791 

 4.030 

 3.576 

 3.797 

 3.378 

 3.593 

 3.171 

 3.400 



6.0^ 

 3.9/ 



8.2] 



5.51 



9.71 



7.11 



11.71 



9.0/ 



15.71 



12.41 



18.91 



15.7/ 



21.91 



18.7/ 



1.503 

 2.626 

 3.906 

 5.310 

 8.682 

 12.924 

 18.290 



0.7 

 1.1 

 1.6 

 2.2 

 3.3 

 4.4 

 5.6 



5.1 

 2.4 

 7.3 

 4.2 

 9.3 

 6.5 

 fll.l 

 8.3 



ris.i 



111.6 

 fl8.3 

 115.0 



/21.5 

 118.2 



34.0 

 16.0 

 29.2 

 16.8 

 26.1 

 18.6 

 24.7 

 18.2 

 23.2 

 17.8 

 21.5 

 17.6 

 20.5 

 17.3 



