Scaled particle theory of gas solubility — inclusion of the temperature dependent hard sphere term

Abstract

The limiting behaviour of the scaled particle theory (spt) of gas solubility has been examined for the inert gases in a range of solvents. The hard sphere limit is shown to exhibit thermodynamic self-consistency only with the inclusion of an effective hard sphere diameter temperature dependence whereas the original spt (exclusion of a temperature dependence) fails to extrapolate to the correct hard sphere limit. Furthermore, inclusion of the temperature dependence yields correct thermodynamic properties for gases of small atomic diameter (and well depth potential) as would be expected from a hard sphere based theory.