Solid Solutions Treatment of Calorimetric Purity Data

more restricted range of color. Acknowledgment.—The authors wish to ac- knowledge the generous support for this work given by the Office of Naval Re...
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6200

range are reminiscent of the tungsten bronzes except for the more restricted range of color.

Acknowledgment.-The authors wish to acknowledge the generous support for this work given by the Office of Naval Research. Reproduction in whole or in part is permitted for any purpose of the United States Government. DEPARTMEXT OF CHEMISTRY UNIVERSITYOF CONSECTICUT STORRS, CONNECTICUT

The Osmotic and Activity Coefficients of Aqueous Solutions of Thorium Chloride at 25" BY R. A. ROBINSON RECEIVED AUGUST1, 1955

Isopiestic vapor pressure measurements have been made on solutions of thorium chloride at 25'. The results are not claimed to be of high accuracy but they are of some interest in that they add to our very meager knowledge of 1: 4 and 4 : 1 electrolytes, thorium nitrate and potassium ferrocyanide being the only two electrolytes already studied. Thorium chloride was prepared by crystallization of a commercial sample which analysis showed to be considerably basic and to which therefore was added slightly more than the requisite amount of hydrochloric acid to give the correct T h :C1 ratio. After three recrystallizations the solution gave the correct T h : C1 ratio on analysis. Table I gives the results of the isopiestic measurements, using sodium chloride as reference salt. Table I1 gives the calculated osmotic and activity coefficients, the latter being expressed relative to the arbitrary value of 0.330 a t 0.05 M . TABLE I MOLALITIES O F ISOPIESTIC SOLUTIONS O F THORIUM C H L O -

ThClr

NaCl

0.7864 ,8805 ,9983 1.112 1.223 1.368 5.372 5.818 6.150

2,356 2.755 3.249 3.752 4.199 4.803 1.495 I.590 1.663

NaCl

0 05252 1286 1584 ,2137 ,3009 3699 ,3023 ,6152 ,6712

0.1029 ,2584 ,3241 ,4531 ,6833 ,8813 1.288 1.682 1 852 TaBLE

11

OSMOTIC A P D A C T I V I T Y COEFFICIESTS OF RIDE AT 25'

THORICM CHLO-

m

c

Y

m

c

Y

0.05 .I

7

. I IC,

3 .4

,840 . 9Oti

.5

,974

(0.330) ,292 .257 ,253 ,261 ,275 ,297

0.7

.l

0.731 ,736

1.129 1.214 1.302 1.390 1.536 1.665 1.847

0.327 ,364 ,409 ,463 ,583 ,729 ,966

,

. ti

--

1.048

there is a possibility of this being promoted by loss of hydrogen chloride, formed by hydrolysis, during the evacuation of the desiccator. Thus, in an attempt to extend the range of measurement beyond 1.6 M ThC4, using sulfuric acid as reference electrolyte, I failed to get any consistent results a t these high concentrations. For this reason, I do not claim high accuracy for the data in Table 11. I think, however, that they are accurate enough to show that thorium chloride has higher osmotic coefficients than thorium nitrate, as has been found with the chlorides and nitrates of lower valency metals. UNIVERSITYOF MALAYA SINGAPORE

Solid Solutions Treatment of Calorimetric Purity Data BY

.8 .9 1.0

1.2 1.4 1.6

I suspect that, as in the case of uranyl nitrate,' the osmotic coefficient is very sensitive to any departure from the exact Th:CI ratio. Moreover, (1) R. A. Rohirison a n d C I;. L i m , J . Cherii Soc., 1540 (1931).

s. \;.

R. MASTRASGELO AND R. \Ir. DORNTE RECEIVED JCLY 12, 1953

The application of calorimetry to the absolute determination of purity, in the absence of solid solution formation, is well e s t a b 1 i ~ h e d . l ~Al~ though methods are available4s5for detecting solid solutions, no quantitative treatment for these data exists. IVe have derived a solid solutions treatment for calorimetric melting point data which provides a method for calculating To,the melting point of pure major component, and Xz,the total mole fraction of minor component. This treatment is based on analysis of the curvature of the plot of the equilibrium temperature, T,, "J. l / y , the reciprocal of the fraction melted. The occurrence of solid solutions, although rare a t low temperatures, is relatively great a t high temperatures. The Lewis and RandallGdifferential equation for solid solutions

SODIUM CHLORIDE

RIDE AND ThClr

VOl. 77

dT = dX2

011

(L,

- 1)

I