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)
It must be noted, however, that the four salts formed by two reciprocal
salt-pairs do not constitute a system of four, but only of _three_
components. This will be understood if it is recalled that only so many
constituents are taken as components as are necessary to _express_ the
composition of all the phases present (p. 12). It will be seen, now, that
the composition of each of the four salts which can be present together can
be expressed in terms of three of them. Thus, for example, in the case of
NH_{4}Cl, NaNO_{3}, NH_{4}NO_{3}, NaCl, we can express the composition of
NH_{4}Cl by NH_{4}NO_{3} + NaCl - NaNO_{3}; or of NaNO_{3} by NH_{4}NO_{3}
+ NaCl - NH_{4}Cl. In all these cases it will be seen that negative
quantities of one of the components must be employed; but that we have seen
to be quite permissible (p. 12). The number of components is, therefore,
three; but any three of the four salts can be chosen.
Since, then, two reciprocal salt-pairs constitute only three {313}
components or independently variable constituents, another component is
necessary in order to obtain a four-component system. As such, we shall
choose water.
Transition Point.--In the case of the formation of double salts from two
single salts, we saw that there was a point--the _quintuple point_--at
which five phases could coexist. This point we also saw to be a transition
point, on one side of which the double salt, on the other side the two
single salts in contact with solution, were found to be the stable system.
A similar behaviour is found in the case of reciprocal salt-pairs. The
four-component system, two reciprocal salt-pairs and water, can give rise
to an invariant system in which the six phases, four salts, solution,
vapour, can coexist; the temperature at which this is possible constitutes
a _sextuple point_. Now, this sextuple point is also a transition point, on
the one side of which the one salt-pair, on the other side the reciprocal
salt-pair, is stable in contact with solution.
The sextuple point is the point of intersection of the curves of six
univariant systems, viz. four solubility curves with three solid phases
each, a vapour-pressure curve for the system: two reciprocal
salt-pairs--vapour; and a transition curve for the condensed system: two
reciprocal salt-pairs--solution. If we omit the vapour phase and work under
atmospheric pressure (in open vessels), we find that the transition point
is the point of intersection of four solubility curves.
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