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)
If a solution represented by any point in the field lying below the curve
_bcd_ is heated to a temperature above _d_, the critical solution
temperature, then the concentration of the nitrile can be increased to any
desired amount without at any time two liquid phases making their
appearance; the system can then be cooled down to a temperature represented
by any point between the curves _dc'e_. In this way it is possible to pass
continuously from a solution containing excess of one component to
solutions containing excess of the other, as represented by the dotted line
_xxxx_ (_v._ p. 100). At no point is there formation of two liquid phases.
Supersaturation.--Just as suspended transformation is rarely met with in
the passage from the solid to the liquid state, so also it is found in the
case of the melting of substances under the solvent that suspended fusion
does not occur; but that when the temperature of the invariant point is
reached at which, therefore, the formation of two liquid layers is
possible, {125} these two liquid layers, as a matter of fact, make their
appearance. Suspended transformation can, however, take place from the side
of the liquid phase, just as water or other liquid can be cooled below the
normal freezing point without solidification occurring. The question,
therefore, arises as to the relative solubilities of the solid and the
supercooled liquid at the same temperature.
[Illustration: FIG. 31.]
The answer to this question can at once be given from what we have already
learned (p. 113), if we recollect that at temperatures below the point of
fusion under the solvent, the solid form, at temperatures above that point,
the liquid form, is the more stable; at this temperature, therefore, the
relative stability of the solid and liquid forms changes. Since, as we have
already seen, the less stable form has the greater solubility, it follows
that the supercooled liquid, being the less stable form, must have the
greater solubility. This was first proved experimentally by Alexejeff[205]
in the case of benzoic acid and water, the solubility curves for which are
given in Fig. 31. As can be seen from the figure, the prolongation of the
curve for liquid--liquid, which represents the solubility of the
supercooled liquid benzoic acid, lies above that for the solubility of the
{126} solid benzoic acid in water; the solution saturated with respect to
the supercooled liquid is therefore supersaturated with respect to the
solid form. A similar behaviour has been found in the case of other
substances.[206]
Pressure-Temperature Diagram.--Having considered the changes which occur in
the concentration of the components in a solution with the temperature, we
may conclude the discussion of the equilibrium between a salt and water by
studying the variation of the vapour pressure.
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