Abstract
A simple theory of dielectric relaxation is proposed, based on the same model of a liquid as Andrade's theory of viscosity. It is shown that the relaxation time of a polar molecule in solution in a non-polar solvent should be related, not to the viscosity of the solvent, but to the ` mutual viscosity' of the solute and solvent. This quantity can be calculated from the variation of the viscosity of the solution with concentration, since the viscosity ?m of a mixture containing mole fractions fA and fB of the two substances A and B is shown to be ?m = fA2?A ?A/?m + fB2?B ?B/?m + 2fAfB?AB ?AB/?m where the ?'s are intermolecular distances, and ?AB, the mutual viscosity, represents the contribution to the total viscosity of collisions between a molecule of substance A and a molecule of substance B. The theory shows satisfactory agreement with experimental results both for pure liquids and for solutions.
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