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)
Bivariant Systems.--As the first examples of the equilibria between a
substance and its products of dissociation, we shall consider very briefly
those cases in which there is one solid phase in equilibrium with vapour.
Reference has already been made to such systems in the case of ammonium
chloride. On being heated, ammonium chloride dissociates into ammonia and
hydrogen chloride. Since, however, in that case the vapour phase has the
same total composition as the solid phase, viz. NH_{3} + HCl = NH_{4}Cl,
the system consists of only one component existing in two phases; it is
therefore univariant, and to each temperature there will correspond a
definite vapour pressure (dissociation pressure).[146]
If, however, excess of one of the products of dissociation be added, the
system becomes one of two components.
In the first place, analysis of each of the two phases yields as the
composition of each, solid: NH_{4}Cl (= NH_{3} + HCl); vapour: _m_NH_{3} +
_n_HCl. Obviously the smallest number of substances by which the
composition of the two phases can be expressed is two; that is, the number
of components is two. What, then, are the components? The choice lies
between NH_{3} + HCl, NH_{4}Cl + NH_{3}, and NH_{4}Cl + HCl; for the three
substances, ammonium chloride, ammonia, hydrogen chloride, are the only
ones taking part in the equilibrium of the system.
Of these three pairs of components, we should obviously choose as the most
simple NH_{3} and HCl, for we can then represent the composition of the two
phases as the _sum_ of the two components. If one of the other two possible
pairs of components be chosen, we should have to introduce negative
quantities of one of the components, in order to represent the composition
of the vapour phase. Although it must be allowed that the introduction of
negative quantities of a component in such cases is quite permissible,
still it will be {80} better to adopt the simpler and more direct choice,
whereby the composition of each of the phases is represented as a sum of
two components in varying proportions (p. 12).
If, therefore, we have a solid substance, such as ammonium chloride, which
dissociates on volatilization, and if the products of dissociation are
added in varying amounts to the system, we shall have, in the sense of the
Phase Rule, a _two-component system existing in two phases_. Such a system
will possess two degrees of freedom. At any given temperature, not only the
pressure, but also the composition, of the vapour-phase, _i.e._ the
concentration of the components, can vary. Only after one of these
independent variables, pressure or composition, has been arbitrarily fixed
does the system become univariant, and exhibit a definite, constant
pressure at a given temperature.
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