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Inclusion of the concentration dependence of the diffusion coefficient in the sand equation

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Abstract

The applications of the Sand equation in potentiometry of electrode and membrane systems for precise measurements of the transition time (τ) have been determined. An approach was suggested for choosing the diffusion coefficient of electrolyte (D) in the case when the concentration changes from its value in the agitated solution (where D = D b) to the nearly zero value at the surface (D = D 0 corresponds to an infinitely dilute solution), D b and D 0 being substantially different. The Nernst–Planck–Poisson nonstationary equations were numerically solved in a one-dimensional system including an ion-exchange membrane and two adjacent diffusion layers (for the electrode–solution system, the result is a particular case). An effective value D ef was found, whose substitution in the Sand equation gave τ identical to that obtained by numerical solution. The neglect of the concentration dependence D(с) can lead to a nonadequate determination of the ion transport numbers in the membrane.

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Authors and Affiliations

  1. Kuban State University, ul. Stavropol’skaya 149, Krasnodar, 350040, Russia

    S. A. Mareev, D. Yu. Butyl’skii, A. V. Kovalenko, N. D. Pis’menskaya & V. V. Nikonenko

  2. Institut de Chimie et des Matériaux Paris-Est, UMR 7182 CNRS-, Université Paris-Est, Rue Henri Dunant 2, Thiais, 94320, France

    L. Dammak & C. Larchet

Authors
  1. S. A. Mareev
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  2. D. Yu. Butyl’skii
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  3. A. V. Kovalenko
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  4. N. D. Pis’menskaya
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  5. L. Dammak
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  6. C. Larchet
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  7. V. V. Nikonenko
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Corresponding author

Correspondence to V. V. Nikonenko.

Additional information

Original Russian Text © S.A. Mareev, D.Yu. Butyl’skii, A.V. Kovalenko, N.D. Pis’menskaya, L. Dammak, C. Larchet, V.V. Nikonenko, 2016, published in Elektrokhimiya, 2016, Vol. 52, No. 10, pp. 1118–1122.

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Mareev, S.A., Butyl’skii, D.Y., Kovalenko, A.V. et al. Inclusion of the concentration dependence of the diffusion coefficient in the sand equation. Russ J Electrochem 52, 996–1000 (2016). https://doi.org/10.1134/S1023193516100098

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  • DOI: https://doi.org/10.1134/S1023193516100098

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