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 is of importance to note that the composition of the different ternary
solutions obtained by the addition of acetic acid to a heterogeneous
mixture of chloroform and water, will depend not only on the amount of
acetic acid added, but also on the relative amounts of chloroform and water
at the commencement. Suppose, for example, that we start with chloroform
and water in the proportions represented by the point _c'_ (Fig. 84). On
mixing these, two liquid layers having the composition _a_ and _b_
respectively will be formed. Since by the addition of acetic acid the
relative amounts of these two substances in the system as a whole cannot
undergo alteration, the total composition of the different ternary systems
which will be obtained must be represented by a point on the line C_c'_
(p. 238). Thus, for example, by the addition of acetic acid a system may be
obtained, the total composition of which is represented by the point _c"_.
Such a system, however, will separate into two conjugate ternary solutions,
the composition of which will be represented by the ends of the tie-line
passing through the point _c"_. So long as the total composition of the
system lies below the point S, _i.e._ the point of intersection of the line
C_c'_ with the boundary curve, two liquid layers will be formed; while all
systems having a total composition represented by a point on the line
C_c'_, above S, will form only one homogeneous solution.
From the figure, also, it is evident that as the amount of acetic acid is
increased, the relative amounts of the two liquid layers formed differ more
and more until at S a limiting position is reached, when the amount of the
one liquid layer dwindles to nought, and only one solution remains.
The same reasoning can be carried through for different initial amounts of
chloroform and water, but it would be fruitless to discuss all the
different systems which can be obtained. The reason for the preceding
discussion was to show that {245} although the addition of acetic acid to a
mixture of chloroform and water will, in all cases, lead ultimately to a
limiting system, beyond which homogeneity occurs, that point is not
necessarily the critical point. On the contrary, in order that addition of
acetic acid shall lead to the critical mixture, it is necessary to start
with a binary mixture of chloroform and water in the proportions
represented by the point _c'_. In this case, addition of acetic acid will
give rise to a series of conjugate ternary solutions, the composition of
which will gradually approach to one another, and at last become identical.
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