Verification of the Cell (Heterogeneous) Model of an Ion-Exchange Membrane and Its Comparison with the Homogeneous Model

Abstract

Employing the Onsager approach to nonequilibrium isothermal processes and the cell method, an algebraic equation has, for the first time, been derived for determining the electroosmotic permeability of an ion-exchange membrane at a preset constant current density. The cell model has been verified using experimental data on the electrical conductivity and electroosmotic permeability of an aqueous hydrochloric acid solution at preset current density and concentration through an initial MF-4SK cation-exchange membrane and that modified with halloysite nanotubes and platinum and iron nanoparticles. A good coincidence has been obtained between the theoretical and experimental data, and the physicochemical parameters of the model have been determined. The results of the calculations performed within the cell and homogeneous models of a fine-porous membrane have been compared. Their correspondence has been shown for all three samples of the MF-4SK sulfonic cation-exchange membrane.