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 representing the vapour pressures of these different systems
graphically, a diagram is obtained such as is shown in Fig. 98,[342] the
curves being numbered in accordance with the above list. When the system I.
is heated, the vapour pressure increases until at the quintuple point the
liquid phase (solution) is formed, and it will then depend on the relative
amounts of the different phases whether on further heating there is formed
system III., IV., or V. If either of the first two is produced, we shall
obtain the vapour pressure of the solutions saturated with respect to both
double salt and one of the single salts; while if the vapour phase
disappears, there will be obtained the pressure of the condensed systems
formed of double salt, two single salts and solution. This curve,
therefore, indicates the _change of the transition point with pressure_;
and since in the ordinary determinations of the transition point in open
vessels, we are in reality dealing with condensed systems under the
pressure of 1 atm., it will be evident that the transition point does not
accurately coincide with the quintuple point (at which the system is under
the pressure of its own vapour). As in the case of other condensed systems,
however, pressure has only a slight influence on the temperature of the
transition point. Whether or not pressure raises or lowers the transition
point will depend on whether transformation is accompanied by an increase
or {263} diminution of volume (theorem of Le Chatelier, p. 58). In the case
of the formation of astracanite, expansion occurs, and the transition point
will therefore be raised by increase of pressure. Although measurements
have not been made in the case of this system, the existence of such a
curve has been experimentally verified in the case of copper and calcium
acetates and water (v. _infra_).[343]
[Illustration: FIG. 99.]
The vapour pressure diagram in the case of copper calcium acetate and water
(Fig. 99), is almost the reverse of that already discussed. In this case,
the double salt decomposes on heating, and the decomposition is accompanied
by a contraction. Curve I. is the vapour pressure curve for double salt,
two single salts (p. 260), and vapour; curves II. and III. give the vapour
pressures of solutions saturated with respect to double salt and one of the
single salts; curve IV. is the curve of pressures for the solutions
saturated with respect to the two single salts; while curve V. again
represents the change of the transition point with pressure. On examining
this diagram, it is seen that whereas {264} astracanite could exist both
above and below the quintuple point, copper calcium acetate can exist only
_below_ the quintuple point. This behaviour is found only in those cases in
which the double salt is decomposed by rise of temperature, and where the
decomposition is accompanied by a diminution of volume.[344]
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