Lewis-Randall to McMillan-Mayer Conversion for the Thermodynamic Excess Functions of Solutions. Part III. Common-Ion Mixtures of Two Electrolytes

Derivations are given for the equations expressing the thermodynamic coefficients that characterize the process of mixing two electrolytes with a common ion in the McMillan-Mayer system in terms of the coefficients. for the corresponding process in the Lewis-Randall system, together with correction terms made up of various Lewis-Randall thermodynamic coefficients of the solutions. In the former case, the solutions are mixed at fixed molar ionic strength (i.e., fixed Debye kappa), fixed temperature, and fixed chemical potential of the solvent. In the latter case they are mixed at fixed molal ionic strength, fixed temperature, and fixed total pressure on the solutions.