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)
are equal; at this temperature the four phases, Na_{2}SO_{4},10H_{2}O;
Na_{2}SO_{4}; solution; vapour, can coexist. From this it is evident that
when sodium sulphate decahydrate is heated to 32.6°, the two new phases
anhydrous salt and solution will be formed (suspended transformation being
supposed excluded), and the hydrate will appear to undergo _partial
fusion_; and during the process of "melting" the vapour pressure and
temperature will remain constant.[213] This is, however, not a true but a
so-called _incongruent_ melting point; for the composition of the liquid
phase is not the same as that of the solid. As has already been pointed out
(p. 137), we are dealing here with the _transition point_ of the
decahydrate and anhydrous salt, _i.e._ with the reaction
Na_{2}SO_{4},10H_{2}O <--> Na_{2}SO_{4} + 10H_{2}O.
Since at the point of partial fusion of the decahydrate four {140} phases
can coexist, the point is a quadruple point in a two-component system, and
the system at this point is therefore invariant. The temperature of this
point is therefore perfectly definite, and on this account the proposal has
been made to adopt this as a fixed point in thermometry.[214] The
temperature is, of course, practically the same as that at which the two
solubility curves intersect (p. 112). If, however, the vapour phase
disappears, the system becomes univariant, and the equilibrium temperature
undergoes change with change of pressure. The transition curve has been
determined by Tammann,[215] and shown to pass through a point of maximum
temperature.
[Illustration: FIG. 34.]
The vapour pressure of the different systems of sodium sulphate and water
can best be studied with the help of the diagram in Fig. 34.[216] The curve
ABCD represents the vapour-pressure curve of the saturated solution of
anhydrous sodium sulphate. GC is the pressure curve of decahydrate +
anhydrous salt, which, as we have seen, cuts the curve ABCD at the
transition temperature, 32.6°. Since at this point the solution is
saturated with respect to both the anhydrous salt and the decahydrate, the
vapour-pressure curve of the saturated solution of the latter must also
pass through the point C.[217] As at temperatures below this point the
solubility of the decahydrate is less than that of the anhydrous salt, the
vapour pressure of the solution will, in accordance with Babo's law
(p. 126), be higher than that of the solution of the anhydrous salt; which
was also found experimentally to be the case (curve HC).
{141}
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