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 mm. mercury.
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Temperature. | | |
| Water. | Ice. | Difference.
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0° | 4.618 | 4.602 | 0.016[40]
-2° | 3.995 | 3.925 | 0.070
-4° | 3.450 | 3.334 | 0.116
-8° | 2.558 | 2.379 | 0.179
-10° | 2.197 | 1.999 | 0.198
-15° | 1.492 | 1.279 | 0.213
-20° | 1.005 | 0.806 | 0.199
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At all temperatures below 0° (more correctly +0.0076°), at which
temperature water and ice have the same vapour pressure, the vapour
pressure of supercooled water is _greater_ than that of ice at the same
temperature.
From the relative positions of the curves OB and OA (Fig. 4) we see that at
all temperatures above 0°, the (metastable) sublimation curve of ice, if it
could be obtained, would be higher than the vaporization curve of water.
This shows, therefore, that at 0° a "break" must occur in the curve of
states, and that in the neighbourhood of this break the curve above that
point must ascend less rapidly than the curve below the break. Since,
however, the differences in the vapour pressures of supercooled water and
of ice are very small, the change in the direction of the vapour-pressure
curve on passing from ice to water was at first not observed, and Regnault
regarded the sublimation curve as passing continuously into {32} the
vaporization curve. The existence of a break was, however, shown by James
Thomson[41] and by Kirchhoff[42] to be demanded by thermo-dynamical
considerations, and the prediction of theory was afterwards realized
experimentally by Ramsay and Young in their determinations of the vapour
pressure of water and ice, as well as in the case of other substances.[43]
From what has just been said, we can readily understand why ice and water
cannot exist in equilibrium below 0°. For, suppose we have ice and water in
the same closed space, but not in contact with one another, then since the
vapour pressure of the supercooled water is higher than that of ice, the
vapour of the former must be supersaturated in contact with the latter;
vapour must, therefore, condense on the ice; and in this way there will be
a slow distillation from the water to the ice, until at last all the water
will have disappeared, and only ice and vapour remain.[44]
Public-domain text, read in full here on John Shaqi.
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