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)
Now, although the Phase Rule informs us that at a given temperature change
of composition of the vapour phase will be accompanied by change of
pressure, it does not cast any light on the relation between these two
variables. This relationship, however, can be calculated theoretically by
means of the Law of Mass Action.[147] From this we learn that in the case
of a substance which dissociates into equivalent quantities of two gases,
the product of the partial pressures of the gases is constant at a given
temperature.
This has been proved experimentally in the case of ammonium hydrosulphide,
ammonium cyanide, phosphonium bromide, and other substances.[148]
Univariant Systems.--In order that a system of two components shall possess
only one degree of freedom, three phases must be present. Of such systems,
there are seven possible, viz. S-S-S, S-S-L, S-S-V, L-L-L, S-L-L, L-L-V,
S-L-V; S denoting solid, L liquid, and V vapour. In the present chapter we
shall consider only the systems S-S-V, _i.e._ those systems in which there
are two solid phases and a vapour phase present.
{81}
As an example of this, we may first consider the well-known case of the
dissociation of calcium carbonate. This substance on being heated
dissociates into calcium oxide, or quick-lime, and carbon dioxide, as shown
by the equation CaCO_{3} <--> CaO + CO_{2}. In accordance with our
definition (p. 9), we have here two solid phases, the carbonate and the
quick-lime, and one vapour phase; the system is therefore univariant. To
each temperature, therefore, there will correspond a certain, definite
maximum pressure of carbon dioxide (dissociation pressure), and this will
follow the same law as the vapour pressure of a pure liquid (p. 21). More
particularly, it will be independent of the relative or absolute amounts of
the two solid phases, and of the volume of the vapour phase. If the
temperature is maintained constant, increase of volume will cause the
dissociation of a further amount of the carbonate until the pressure again
reaches its maximum value corresponding to the given temperature.
Diminution of volume, on the other hand, will bring about the combination
of a certain quantity of the carbon dioxide with the calcium oxide until
the pressure again reaches its original value.
The dissociation pressure of calcium carbonate was first studied by
Debray,[149] but more exact measurements have been made by Le
Chatelier,[150] who found the following corresponding values of temperature
and pressure:--
-------------+-------------------------
|
Temperature. | Pressure in cm. mercury.
-------------+-------------------------
|
547° | 2.7
610° | 4.6
625° | 5.6
740° | 25.5
745° | 28.9
810° | 67.8
812° | 76.3
865° | 133.3
-------------+-------------------------
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