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)
Lastly, if the temperature is maintained constant, _i.e._ if heat can pass
into or out of the system, then on changing the volume the same changes in
the phases will take place as described above until one of the phases has
disappeared. Continued increase of volume (decrease of pressure) will then
cause the disappearance of a second phase, the system passing along the
dotted line OE' (Figs. 16, 17), so that ultimately there remains only the
vapour phase. Conversely, diminution of volume (increase of pressure) will
ultimately lead either to solid (Fig. 16) or to liquid alone (Fig. 17), the
system passing along the dotted line OE. {62}
In discussing the alterations which may take place at the triple point with
change of temperature and pressure, we have considered only the triple
point S-L-V. The same reasoning, however, applies, _mutatis mutandis_, to
all other triple points, so that if the specific volumes of the phases are
known, and the sign of the heat effects which accompany the transformation
of one phase into the other, it is possible to predict (by means of the
theorem of Le Chatelier) the changes which will be produced in the system
by alteration of the pressure and temperature.
In all cases of transformation at the triple point, it should be noted that
all _three phases are involved in the change_,[107] and not two only; the
fact that in the case, say, of the transformation from solid to liquid, or
liquid to solid, at the melting point with change of temperature, only
these two phases appear to be affected, is due to there generally being a
large excess of the vapour phase present and to the prior disappearance
therefore of the solid or liquid phase.
In the case of triple points at which two solid phases are in equilibrium
with liquid, other arrangements of the curves around the triple point are
found. It is, however, unnecessary to give a general treatment of these
here, since the principles which have been applied to the triple point
S-L-V can also be applied to the other triple points.[108]
Triple Point Solid--Solid--Vapour.--The triple point solid--solid--vapour
is one which is of considerable importance. Examples of such a triple point
have already been given in sulphur and tin, and a list of other substances
capable of yielding two solid phases is given below. The triple point S-S-V
is not precisely the same as the transition point, but is very nearly so.
The transition point is the temperature at which the relative stability of
the two solid phases undergoes change, when the vapour phase is absent and
the pressure is 1 atm.; whereas at the triple point the pressure is that of
the system itself. The transition point, therefore, bears the same relation
to the triple point S-S-V as the melting point to the triple point S-L-V.
{63}
In the following table is given a list of the most important polymorphous
substances, and the temperatures of the transition point.[109]
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