Numerically Calculating the Concentration and Temperature Dependences of the Electrical Conductivity of Aqueous Electrolyte Solutions

Abstract

Kinetic equations are used to find analytical expressions for dynamic electrical conductivity $$\sigma (\omega )$$ and electroelasticity modulus $$ {\in} (\omega )$$ under conditions where relaxing currents attenuate according to an exponential law. Along with the molecular parameters, the coefficients in the integrands contain potential energy $${{\Phi }_{{ab}}}(\left| {\vec {r}} \right|)$$ of interaction and radial distribution function $${{g}_{{ab}}}(\left| {\vec {r}} \right|)$$ . Isofrequency electrical conductivities $$\sigma (\omega ,c,T)$$ of aqueous solutions of LiCl, NaCl, KCl, and CsCl electrolytes are calculated numerically for a model solution. Explicit expressions for $${{\Phi }_{{ab}}}(\left| {\vec {r}} \right|)$$ and $${{g}_{{ab}}}(\left| {\vec {r}} \right|)$$ are found, along with the corresponding values of concentration С and temperature Т. The results from numerical calculations are in satisfactory agreement with experimental findings.