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)
Pressure-Temperature Diagram.--The complete study of the equilibria between
the two components calcium chloride and water would require the discussion
of the vapour pressure of the different systems, and its variation with the
temperature. For our present purpose, however, such a discussion would not
be of great value, and will therefore be omitted here; in general, the same
relationships would be found as in the case of sodium sulphate (p. 138),
except that the rounded portion of the solubility curve of the hexahydrate
would be represented by a similar rounded portion in the pressure
curve.[227] As in the case of sodium sulphate, the transition points of the
different hydrates would be indicated by breaks in the curve of pressures.
Finally, mention may again be made of the difference of the pressure of
dissociation of the hexahydrate according as it becomes dehydrated to the
[alpha]- or the [beta]-tetrahydrate (p. 88).
The Indifferent Point.--We have already seen that at 30.2° calcium chloride
hexahydrate melts congruently, and that, provided the pressure is
maintained constant, addition or withdrawal of heat will cause the complete
liquefaction or solidification, without the temperature of the system
undergoing change. This behaviour, therefore, is similar to, but is not
quite the same as the fusion of a simple substance such as ice; and the
difference is due to the fact that in the case of the hexahydrate the
emission of vapour by the liquid phase causes an alteration in the
composition of the latter, owing to the non-volatility of the calcium
chloride; whereas in the case of ice this is, of course, not so.
Consider, however, for the present that the vapour phase is absent, and
that we are dealing with the two-phase system solid--solution. Then, since
there are two components, the system is bivariant. For any given value of
the pressure, therefore, we should expect that the system could exist at
different temperatures; which, indeed, is the case. It has, however,
already been noted that when the composition of the liquid phase becomes
the same as that of the solid, the system then behaves as a _univariant_
system; for, at a given pressure, the system solid--solution can exist only
at _one_ temperature, change of temperature producing complete
transformation in {151} one or other direction. _The variability of the
system has therefore been diminished._
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