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)
As shown in Figs. 13 and 14, the fusion curve is inclined either towards
the pressure axis or away from it; that is, increase of pressure can either
lower or raise the melting point. It is easy to predict in a qualitative
manner the different effect of pressure on the melting point in the two
cases mentioned, if we consider the matter in the light of the theorem of
Le Chatelier (p. 58). Water, on passing into ice, expands; therefore, if
the pressure on the system ice--water be increased, a reaction will take
place which is accompanied by a diminution in volume, _i.e._ the ice will
melt. Consequently, a lower temperature will be required in order to
counteract the effect of increase of pressure; or, in other words, the
melting point will {67} be lowered by pressure.[116] In the second case,
the passage of the liquid to the solid state is accompanied by a diminution
of volume; the effect of increase of pressure will therefore be the reverse
of that in the previous case.
If the value of the heat of fusion and the alteration of volume
accompanying the change of state are known, it is possible to calculate
_quantitatively_ the effect of pressure.[117]
We have already seen (p. 25) that the effect of pressure on the melting
point of a substance was predicted as the result of theoretical
considerations, and was first proved experimentally in the case of ice.
Soon after, Bunsen[118] showed that the melting point of other substances
is also affected by pressure; and in more recent years, ample experimental
proof of the change of the melting point with the pressure has been
obtained. The change of the melting point is, however, small; as a rule,
increase of pressure by 1 atm. changes the melting point by about 0.03°,
but in the case of water the change is much less (0.0076°), and in the case
of camphor much more (0.13°). In other words, if we take the mean case, an
increase of pressure of more than 30 atm. is required to produce a change
in the melting point of 1°.
Investigations which were made of the influence of pressure on the
melting-point, showed that up to pressures of several hundred atmospheres
the fusion curve is a straight line.[119] Tammann[120] has, however, found
that on increasing the pressure the fusion curve no longer remains
straight, but bends towards the pressure axis, so that, on sufficiently
increasing the pressure, a maximum temperature might at length be reached.
This maximum has, so far, however, not been attained, although the melting
point curves of various substances have been studied up to pressures of
4500 atm. This is to be accounted for partly {68} by the fact that the
probable maximum temperature in the case of most substances lies at very
great pressures, and also by the fact that other solid phases make their
appearance, as, for example, in the case of ice (p. 32).
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