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)
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| Pressure in kilogms. per | Change of melting point for
Temperature. | sq. cm.[34] | an increase of pressure of
| | 1 kilogm. per sq. cm.
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-0° | 1 |
-2.5° | 336 | 0.0074°
-5° | 615 | 0.0090°
-7.5° | 890 | 0.0091°
-10.0° | 1155 | 0.0094°
-12.5° | 1410 | 0.0100°
-15.0° | 1625 | 0.0116°
-17.5° | 1835 | 0.0119°
-20.0° | 2042 | 0.0121°
-22.1° | 2200 | 0.0133°
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From the numbers in the table and from the figure we see that as the
pressure is increased the melting point of ice is lowered; but we also
observe that a very large change of pressure is required in order to
produce a very small change in the melting point. The curve, therefore, is
very steep. Increase of pressure by one atmosphere lowers the melting point
by only 0.0076°,[35] or an increase of pressure of 135 atm. is required to
produce a lowering of the melting point of 1°. We see further that the
fusion curve bends slightly as the pressure is increased, which signifies
that the variation of {27} the melting point with the pressure changes; at
-15°, when the pressure is 1625 kilogm. per sq. cm., increase of pressure
by 1 kilogm. per sq. cm. lowers the melting point by 0.012°. This curvature
of the fusion curve we shall later (Chap. IV.) see to be an almost
universal phenomenon.
[Illustration: FIG. 2.]
[Illustration: FIG. 3.]
Equilibrium between Ice, Water, and Vapour. The Triple Point.--On examining
the vapour-pressure curves of ice and water (Fig. 3), we see that at a
temperature of about 0° and under a pressure of about 4.6 mm. mercury, the
two curves cut. At this point liquid water and solid ice are each in
equilibrium with vapour at the same pressure. Since this is so, they must,
of course, be in equilibrium {28} with one another, as experiment also
shows. At this point, therefore, ice, water, and vapour can be in
equilibrium, and as there are three phases present, the point is called a
_triple point_.[36]
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