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)
On passing to the study of the second class of systems of two components
belonging to this group, namely, those in which the fused components are
not miscible in all proportions, we find that the relationships are not
quite so simple as {122} in the case of silver nitrate and water. In the
latter case, only one liquid phase was possible; in the cases now to be
studied, two liquid phases can be formed, and there is a marked
discontinuity in the solubility curve on passing from the cryohydric point
to the melting point of the second (non-volatile) component.
Paratoluidine dissolves in water, and the solubility increases as the
temperature rises.[202] At 44.2°, however, paratoluidine in contact with
water melts, and two liquid phases are formed, viz. a solution of water in
fused paratoluidine and a solution of fused paratoluidine in water. We
have, therefore, the phenomenon of _melting under the solvent_. This
melting point will, of course, be lower than the melting point of the pure
substance, because the solid is now in contact with a solution, and, as we
have already seen, addition of a foreign substance lowers the melting
point. Such cases of melting under the solvent are by no means rare, and a
review of the relationships met with may, therefore, be undertaken here. As
an example, there may be chosen the equilibrium between succinic nitrile,
C_{2}H_{4}(CN)_{2} and water, which has been fully studied by
Schreinemakers.[203]
[Illustration: FIG. 30.]
If to the system ice--water at 0° succinic nitrile is added, the
temperature will fall; and continued addition of the nitrile will lead at
last to the cryohydric point _b_ (Fig. 30), at which solid nitrile, ice,
solution, and vapour can coexist. The temperature of the cryohydric point
is -1.2°, and the composition of the solution is 1.29 mol. of nitrile in
100 mol. of solution. From _a_ to _b_ the solid phase in contact with the
solution is ice. {123} If the temperature be now raised so as to cause the
disappearance of the ice, and the addition of nitrile be continued, the
concentration of the nitrile in the solution will increase as represented
by the curve _bc_. At the point _c_ (18.5°), when the concentration of the
nitrile in the solution has increased to 2.5 molecules per cent., the
nitrile melts and two liquid phases are formed; the concentration of the
nitrile in these two phases is given by the points _c_ and _c'_. As there
are now four phases present, viz. solid nitrile, solution of fused nitrile
in water, solution of water in fused nitrile, and vapour, the system is
_invariant_. Since at this point the concentration, temperature, and
pressure are completely defined, addition or withdrawal of heat can only
cause a change in the relative amounts of the phases, _but no variation of
the concentrations_ of the respective phases. As a matter of fact,
continued addition of nitrile and addition of heat will cause an increase
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