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)
The length of time during which the temperature remains constant at the
point _c_, depends, of course, on the eutectic solution. If, therefore, we
take equal amounts of solution having a different initial composition, the
period of constant temperature in the cooling curve will evidently be
greatest in the case of the solution having the composition of the eutectic
point; and the period will become less and less as we increase the amount
of one of the components. The relationship between initial composition of
solution and the duration of constant temperature at the eutectic point is
represented by the curve _a'c'b'_ (Fig. 77). When a compound possessing a
definite melting point is formed, it behaves as a pure substance. If,
therefore, the initial composition of the {231} solution is the same as
that of the compound, no eutectic solution will be obtained; and therefore
no line of constant temperature, such as _cd_ (Fig. 76). In such a case, if
we represent graphically the relation between the initial composition of
the solution and the duration of constant temperature, a diagram is
obtained such as shown in Fig. 78. The two maxima on the time-composition
curve represent eutectic points, and the minima, _a'_, _b'_, _e'_, pure
substances. The position of _e'_ gives the composition of the compound.
When a series of compounds is formed, then for each compound a minimum is
found on the time-composition curve.
[Illustration: FIG. 79.]
If the compound formed has no definite melting point, the diagram obtained
is like that shown in Fig. 79. If we start with a solution, the composition
of which is represented by a point between _d_ and _b_, then, on cooling,
_b_ will separate out first, and the temperature will fall until the point
_d_ is reached. The temperature then remains constant until the component
_b_, which has separated out, is converted into the compound. After this
the temperature again falls, until it again remains constant at the
eutectic point c. In the case of the first halt, the period of constant
temperature is greatest when the initial composition of the solution is the
same as that of the compound; and it becomes shorter and shorter with {232}
increase in the amount of either component. In this way we obtain the
time-composition curve _b'e"d'_, of which the maximum point _e"_ gives the
composition of the compound.
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