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Transference Numbers of Counterions in the Cell Model of a Charged Membrane

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Abstract

The paper suggests exact formulae for calculating the electromigration, diffusion, and convective transference numbers of counterions in the cell model of a charged membrane depending on the physicochemical parameters and equilibrium concentration of the electrolyte. The cell model was previously developed to calculate all the kinetic coefficients of the Onsager matrix, and the asymmetry of the cross coefficients was established. A limiting case of an ideally selective membrane is studied in detail, for which approximate formulae for transference numbers are obtained. The obtained dependences are illustrated by graphs by way of example of an MK-40 cation-exchange membrane after conditioning at room temperature. The proposed calculation procedure for transference numbers is applicable to any single-layer membranes in solutions of a binary electrolyte.

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Funding

This work was financially supported by the Russian Science Foundation (grant no. 23-19-00520).

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Authors and Affiliations

  1. Gubkin University, 119991, Moscow, Russia

    A. N. Filippov

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  1. A. N. Filippov
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Correspondence to A. N. Filippov.

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Translated by E. Boltukhina

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Filippov, A.N. Transference Numbers of Counterions in the Cell Model of a Charged Membrane. Membr. Membr. Technol. 5, 344–351 (2023). https://doi.org/10.1134/S2517751623050037

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