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)
-------------+-----------------+----------------
Temperature. | C_{1} per cent. | C_{2} per cent.
-------------+-----------------+----------------
70° | 1.6 | --
50° | 2.9 | --
30° | 5.6 | 96
25° | 7.3 | 95.5
20° | 15.5 | 73
±18.5° | ±30 | ±30
-------------+-----------------+----------------
General Form of Concentration-Temperature Curve.--From the preceding
figures it will be seen that the general {102} form of the solubility curve
is somewhat parabolic in shape; in the case of triethylamine and water, the
closed end of the curve is very flat. Since for all liquids there is a
point (critical point) at which the liquid and gaseous states become
identical, and since all gases are miscible in all proportions, it follows
that there must be some temperature at which the liquids become perfectly
miscible. In the case of triethylamine and water, which has just been
considered, there must therefore be an upper critical solution temperature,
so that the complete solubility relations would be represented by a closed
curve of an ellipsoidal aspect. An example of such a curve is furnished by
nicotine and water. At temperatures below 60° and above 210°, nicotine and
water mix in all proportions.[173] Although it is possible that this is the
general form of the curve for all pairs of liquids, there are as yet
insufficient data to prove it.
With regard to the closed end of the curve it may be said that it is
continuous; the critical solution point is not the intersection of two
curves, for such a break in the continuity of the curve could occur only if
there were some discontinuity in one of the phases. No such discontinuity
exists. The curve is, therefore, not to be considered as two solubility
curves cutting at a point; it is a curve of equilibrium between two
components, and so long as the phases undergo continuous change, the curve
representing the equilibrium must also be continuous. As has already been
emphasized, a distinction between solvent and solute is merely conventional
(p. 93).
Pressure-Concentration Diagram.--In considering the pressure-concentration
diagram of a system of two liquid components, a distinction must be drawn
between the total pressure of the system and the partial pressures of the
components. On studying the total pressure of a system, it is found that
two cases can be obtained.[174]
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