Solution of a model for the solvent-electrolyte interactions in the mean spherical approximation

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Abstract
An electrolytic solution is simulated by a mixture of charged hard spheres and hard dipoles, all of the same size. This model can be solved exactly in the mean spherical approximation (MSA), yielding a set of three coupled high order algebraic equations for three unknowns, which are essentially the excess internal energies due to the charges alone, the dipoles alone, and the charge‐dipole cross interaction. A rapidly converging series solution of these equations is proposed for the dilute solution regime. The first term in this series is the hard‐core Debye‐Hückel theory term, with electrostrictive corrections. We also obtain the leading term in the expansion for the infinite dilution limit of the ion‐solvent excess chemical potential. Other relevant information could be obtained using standard formulas.