The Phase Rule and Its ApplicationsFindlay, Alexander
Science
The Phase Rule and Its Applications
Findlay, Alexander
Chemistry, Physical and theoretical; Phase rule and equilibrium; Solution (Chemistry)
As is evident from the figure, addition of B raises the melting point of A,
and, in accordance with the rule previously given, the concentration of B
in the mixed crystals will be greater than in the solution. This is
represented in the figure by the dotted curve AD. On the other hand,
addition of A lowers the melting point of B, and the two curves BC and BE
are obtained for the liquid and solid phases respectively. At the
temperature of the line CDE the liquid solution of the composition
represented by C is in equilibrium with the two different mixed crystals
represented by D and E. At this temperature, therefore, the _tc_-curve for
the solid phase exhibits a discontinuity; and, since the solid phase
undergoes change at this point, the freezing-point curve must show a break
(p. 111).
[Illustration: FIG. 54.]
Example.--Curves of the form given in Fig. 54 I. have been found
experimentally in the case of silver nitrate and sodium nitrate.[274] The
following table contains the numerical data, which are also represented
graphically in Fig. 55:--
{191}
-----------------------------------------------------
Molecules NaNO_{3} | Freezing point. | Melting point.
per cent. | |
-----------------------------------------------------
0 | 208.6° | 208.6°
8 | 211.4° | 210°
15.06 | 215° | 212°
19.46 | 217.2° | 214.8°
21.9 | 222° | 215°
26 | 228.4° | 216.5°
29.7 | 234.8° | 217.5°
36.2 | 244.4° | 217.5°
47.3 | 259.4° | 237.6°
58.9 | 272° | 257°
72 | 284° | 274°
100 | 308° | 308°
-----------------------------------------------------
The temperature of the transition point is 217.5°; at this point the liquid
contains 19.5, and the two conjugate solid solutions 26 and 38 molecules of
sodium nitrate per cent. respectively.
[Illustration: FIG. 55.]
[Illustration: FIG. 56.]
(_b_) _The freezing-point curve exhibits a eutectic point_ (Curve II., Fig.
54). {192}
In this case the freezing point of each of the components is lowered by the
addition of the other, until at last a point is reached at which the liquid
solution solidifies to a mixture or conglomerate of two mixed crystals.
Examples.--Curves belonging to this class have been obtained in the case of
potassium and thallium nitrates[275] and of naphthalene and monochloracetic
acid.[276] The data for the latter are given in the following table and
represented in Fig. 56:--
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