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)
From this it will also be clear that on cooling a fused mixture of two
substances capable of forming mixed crystals, {185} the temperature of
solidification will not remain constant during the separation of the solid;
nor, on the other hand, will the temperature of liquefaction of the solid
solution be constant. Thus, for example, if a liquid solution of two
components, A and B, having the composition represented by the point _x_
(Fig. 50), is allowed to cool, the system will pass along the line _xx'_.
At the temperature of the point _a_, mixed crystals will be deposited, the
composition of which will be that represented by b. As the temperature
continues to fall, more and more solid will be deposited; and since the
solid phase is relatively rich in the component B, the liquid will become
relatively poorer in this. The composition of the liquid solution will
therefore pass along the curve _ad_, the composition of the solid solution
at the same time passing along the curve _bc_; at the point _c_ the liquid
will solidify completely.[271]
[Illustration: FIG. 50.]
Conversely, if mixed crystals of the composition and at the temperature
_x'_ are heated, liquefaction will begin at the temperature _c_, yielding a
liquid of the composition d. On continuing to add heat, the temperature of
the mass will rise, more of the solid will melt, and the composition of the
two phases will change as represented by the curves _da_ and _cb_. When the
temperature has risen to _a_, complete liquefaction will have occurred. The
process of solidification or of liquefaction is therefore extended over a
temperature interval _ac_.
Even when the freezing-point curve is a straight line joining {186} the
melting points of the pure components, the melting-point curve will not
necessarily coincide with the freezing-point curve, although it may
approach very near to it; complete coincidence can take place only when the
melting points of the two components are identical. An example of this will
be given later (Chap. XII.).
(_b_) _The freezing-point curve passes through a maximum_ (Curve II., Fig.
49).
[Illustration: FIG. 51.]
This curve exhibits the greatest degree of contrast to the freezing-point
curve which is obtained when the pure components crystallize out. For,
since the curve passes through a maximum, it is evident that the freezing
point of each of the components must be _raised_ by the addition of the
other component.
Example.--Very few cases belonging to this type are known. The best example
is found in the freezing-point curve of mixtures of _d_- and
_l_-carvoxime[272] (C_{10}H_{14}N.OH). The freezing points and melting
points of the different mixtures of _d_- and _l_-carvoxime are given in the
following table, and represented graphically in Fig. 51:--
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