One of the simplest equations relating vapor pressure of a pure component to temperature is given by:
where
is in Kelvin and
is in bars.
The above equation is named August equation, after the German physicist Ernst Ferdinand August (1795-1870). Thus,
vs.
is a straight line. As shown in the snapshots, if
, then the two straight lines (i.e., vapor pressures for two components,
and
) will be parallel.
Relative volatility assuming ideal behavior is given by:
. If the constants
and
are equal then the relative volatility is independent of temperature and we have
where
,
,
and
are the constants that appear in the August equation for components
and
.
Vapor-liquid equilibrium data can be easily computed for constant relative volatility binary mixtures. Indeed, the following relationships can be derived:

where
and
are the mole fraction of the vapor and liquid phases in equilibrium.
One also has analytical expressions for the bubble temperature,
,and for the dew temperature,
, which are as follows:

and 
where
is the total pressure,
,
,
and
are the constants that appear in the August equation for components
and
and α is the relative volatility. One snapshot shows the isobaric vapor-liquid equilibrium diagram for a particular constant relative volatility mixture at
.
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