Full solution to the mean spherical approximation (MSA) for an arbitrary mixture of ions in a dipolar solvent
Jean-Pierre Simonin1, Johan S Høye2
1Laboratoire PHENIX, CNRS, Sorbonne Université (Campus P.M. Curie), 4 Place Jussieu, Case 51, F-75 005 Paris, France.
Abstract:
The complete solution to the mean-spherical approximation is given for an arbitrary mixture of ions in a dipolar solvent. The calculation is done for an overall neutral collection of charged hard spheres (ions) and dipoles (solvent) that bear a central point dipole. Previous solutions to this problem were not consistent because they did not include the solvent particles as a (neutral) solute in the mixture. The present solution accounts for this peculiar counterintuitive feature, fully and consistently. Complete expressions for the chemical potentials of the ions and solvent are provided for the first time. To illustrate, a binary 1-1 asymmetric electrolyte solution in a water-like dipolar solvent is considered, and some numerical results are examined. In particular, it is verified that a set of thermodynamic consistency relations are accurately fulfilled.
Related Concept Videos
Intermolecular Forces
Chemical and Solubility Equilibria
Molecular Geometry and Dipole Moments
Intermolecular Forces in Solutions
When the strengths of the intermolecular forces of attraction between solute and solvent species in a solution are no different than those present in the separated components, the solution is formed with no accompanying energy change. Such a solution is called an ideal solution. A mixture of ideal gases (or gases such as helium and argon,...
Solution Formation
This selective...
Ideal Solutions


