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)
Triple Point--Rhombic and Monoclinic Sulphur and Liquid.--In contrast with
that of ice, the fusion point of monoclinic sulphur is _raised_ by increase
of pressure, and the fusion curve, therefore, slopes to the right. The
transition curve of rhombic and monoclinic sulphur, as we have seen, also
slopes to the right, and more so than the fusion curve of monoclinic
sulphur. There will, therefore, be a certain pressure and temperature at
which the two curves will cut. This point lies at 151°, and a pressure of
1320 kilogm. per sq. cm., or about 1288 atm.[54] It, therefore, forms
another triple point, the existence of which had been predicted by
Roozeboom,[55] at which rhombic and monoclinic sulphur are in equilibrium
with liquid sulphur. It is represented in our diagram by the point C.
_Beyond this point monoclinic sulphur ceases to exist in a stable
condition._ At temperatures and pressures above this triple point, rhombic
sulphur will be the stable modification, and this fact is of mineralogical
interest, because it explains the occurrence in nature of well-formed
rhombic crystals. Under ordinary conditions, prismatic sulphur separates
out on cooling fused sulphur, but at temperatures above 151° and under
pressures greater than 1288 atm., the rhombic form would be produced.[56]
Triple Point--Rhombic Sulphur, Liquid, and Vapour. Metastable Triple
Point.--On account of the slowness with {39} which transformation of one
form into the other takes place on passing the transition point, it has
been found possible to heat rhombic sulphur up to its melting point
(114.5°). At this temperature, not only is rhombic sulphur in a metastable
condition, but the liquid is also metastable, its vapour pressure being
greater than that of solid monoclinic sulphur. This point is represented in
our diagram by the point b.
From the relative positions of the metastable melting point of rhombic
sulphur and the stable melting point of monoclinic sulphur at 120°, we see
that, of the two forms, the metastable form has the lower melting point.
This, of course, is valid only for the relative stability in the
neighbourhood of the melting point; for we have already learned that at
lower temperatures rhombic sulphur is the stable, monoclinic sulphur the
metastable (or unstable) form.
Fusion Curve of Rhombic Sulphur.--Like any other melting point, that of
rhombic sulphur will be displaced by increase of pressure; increase of
pressure raises the melting point, and we can therefore obtain a metastable
fusion curve representing the conditions under which rhombic sulphur is in
equilibrium with liquid sulphur. This metastable fusion curve must pass
through the triple point for rhombic sulphur--monoclinic sulphur--liquid
sulphur, and on passing this point it becomes a stable fusion curve. The
continuation of this curve, therefore, above 151° forms the stable fusion
curve of rhombic sulphur (curve CD).
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