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)
In studying the fusion and solidification of those substances which exhibit
the relationships of dynamic isomerism, the phenomena observed will vary
somewhat according as the reversible transformation of the one form into
the other takes place with measurable velocity at temperatures in the
neighbourhood of the melting points, or only at some higher temperature. If
the transformation is very rapid, the system will behave like a
one-component system, but if the isomeric change is comparatively slow, the
behaviour will be that of a two-component system.
Temperature-Concentration Diagram.--The relationships which are met with
here will be most readily understood with {197} the help of Fig. 59.
Suppose, in the first instance, that isomeric transformation does not take
place at the temperature of the melting point, then the freezing point
curve will have the simple form ACB; the formation of compounds being for
the present excluded. This is the simplest type of curve, and gives the
composition of the solutions in equilibrium with the one modification
([alpha] modification) at different temperatures (curve AC); and of the
solutions in equilibrium with the other modification ([beta] modification)
at different temperatures (curve BC). C is the eutectic point at which the
two solid isomerides can exist side by side in contact with the solution.
[Illustration: FIG. 59.]
Now, suppose that isomeric transformation takes place with measurable
velocity. If the pure [alpha]-modification is heated to a temperature _t'_
above its melting point, and the liquid maintained at that temperature
until equilibrium has been established, a certain amount of the [beta]-form
will be present in the liquid, the composition of which will be represented
by the point _x'_. The same condition of equilibrium will also be reached
by starting with pure [beta]. Similarly, if the temperature of the liquid
is maintained at the temperature _t"_, equilibrium will be reached, we
shall suppose, when the solution has the composition _x"_. The curve DE,
therefore, which passes through all the different values of _x_
corresponding to different values of _t_, will represent the change of
equilibrium with the temperature. It will slope to the right (as in the
figure) if the transformation of [alpha] into [beta] is accompanied by
absorption of heat; to the left if the transformation is accompanied by
evolution of heat, in accordance with van't Hoff's Law of movable
equilibrium. If transformation occurs without heat effect, the equilibrium
will be independent of the {198} temperature, and the equilibrium curve DE
will therefore be perpendicular and parallel to the temperature axis.
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