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Generalized Nernst layer model for convective-diffusion transport. Numerical solution for bromide ion electroreduction on inactive rotating disk electrode under steady state conditions

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Abstract

The process of electroreduction of bromate anion BrO3 - from aqueous solutions on catalytically inactive (e.g., carbon) electrodes is theoretically described in the framework of the generalized Nernst layer model in which the Nernst-layer thickness is chosen independently for each system’s component according to the Levich formula. For this system, the numerical algorithm is developed for solving the system diffusion- kinetic equations for the case of excessive content of protons in solution and one-dimensional transport (corresponding to RDE) under stationary conditions. The results are compared with conclusions of the approximate analytical theory proposed for the same system in our recent study (J. Electroanal. Chem., 2016, vol. 779, p. 146). The closeness of the numerical and analytical data makes it possible to conclude that both approaches can be used for solving this problem. Deviations are observed only when the approximations lying in the basis of the corresponding analytical relationships are violated.

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References

  1. Frumkin, A.N. and Florianovich, G.M., Electrreduction of anions, Dokl. Akad. Nauk SSSR, 1951, vol. 80, p. 907.

    CAS  Google Scholar 

  2. Florianovich, G.M. and Frumkin, A.N., On the mechanism of electroreduction of anions on mercury electrode, Zh. Fiz. Khim, 1955, vol. 29, p. 1827.

    CAS  Google Scholar 

  3. Frumkin, A.N., Nikolaeva-Fedorovich, N.V., Berezina, N.P., and Keis, H.E., The electroreduction of the S2O8 2- anion, J. Electroanal. Chem., 1975, vol. 58, p. 189.

    CAS  Article  Google Scholar 

  4. Botukhova, G.N., Borzenko, M.I., and Petrii, O.A., Effect of ammonium ions on the electroreduction of anions at a mercury electrode, Russ. J. Electrochem., 2004, vol. 40, p. 414.

    CAS  Article  Google Scholar 

  5. Tolmachev, Y.V., Piatkivskyi, A., Ryzhov, V.V., Konev, D.V., and Vorotyntsev, M.A., Energy cycle based on a high specific energy aqueous flow battery and its potential use for fully electric vehicles and for direct solar-to-chemical energy conversion, J. Solid State Electrochem., 2015, vol. 19, p. 2711.

    CAS  Article  Google Scholar 

  6. Vorotyntsev, M.A., Konev, D.V., and Tolmachev, Y.V., Electroreduction of halogen oxoanions via autocatalytic redox mediation by halide anions: novel EC" mechanism. Theory for stationary 1D regime, Electrochim. Acta, 2015, vol. 173, p. 779.

    CAS  Article  Google Scholar 

  7. Antipov A.E. and Vorotyntsev, M.A., Bromate anion electroreduction on inactive RDE under steady-state conditions. Numerical study of ion transport processes and comproportionation reaction Russ. J. Electrochem., 2016, vol. 52, p. 925.

    CAS  Article  Google Scholar 

  8. Levich, V.G., Fiziko-khimicheskaya gidrodinamika (Physicochemical Hydrodynamics), Moscow: Fizmatgiz, 1959.

    Google Scholar 

  9. Vorotyntsev, M.A. and Antipov, A.E., Reduction of bromate anion via autocatalytic redox-mediation by Br2/Br–redox pair. Theory for stationary 1D regime. Effect of different Nernst layer thicknesses for reactants, J. Electroanal. Chem., 2016, vol. 779, p. 146.

    CAS  Article  Google Scholar 

  10. Vorotyntsev M.A. and Antipov A.E. Generalized Nernst Layer Model: application to bromate anion electroreduction. Theory for stationary 1D regime for proton transport limitations, ChemElectroChem, 2016; in press.

    Google Scholar 

  11. Cortes, C.E.S. and Faria, R.B., Revisiting the kinetics and mechanism of bromate-bromide reaction, J. Braz. Chem. Soc, 2001, vol. 12, p. 775.

    CAS  Article  Google Scholar 

  12. Vanysek, P., CRC Handbook of Chemistry and Physics. Internet Version 2005, Lide, D.R., Ed., Boca Raton: CRC Press, 2005. http://www.hbcpnetbase.com.

  13. Cussler, E.L., Diffusion: Mass Transfer in Fluid Systems, New York: Cambridge University Press, 1997, 2nd Edition.

    Google Scholar 

  14. Simmons, J.P. and Waldeck, W.F., The system lithium bromate-water, J. Am. Chem. Soc., 1931, vol. 53, p. 1725.

    CAS  Article  Google Scholar 

  15. Kishimoto, N., Kishimoto, A., and Nakayama, A., Rapid removal of bromate ion from water streams with an electrolytic flow cell, J. Water Supply: Res. Technol.–AQUA, 2012, vol. 61, p. 103.

    CAS  Article  Google Scholar 

  16. Zhao, X., Liu, H., Li, A., Shen, Y., and Qu, J., Bromate removal by electrochemical reduction at boron-doped diamond electrode, Electrochim. Acta, 2012, vol. 62, p. 181.

    CAS  Article  Google Scholar 

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Correspondence to A. E. Antipov.

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Original Russian Text © A.E. Antipov, M.A. Vorotyntsev, 2017, published in Elektrokhimiya, 2017, Vol. 53, No. 10, pp. 1239–1247.

This paper is the authors’ contribution to the special issue of Russian Journal of Electrochemistry dedicated to the 100th anniversary of the birth of the outstanding Soviet electrochemist Veniamin G. Levich.

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Antipov, A.E., Vorotyntsev, M.A. Generalized Nernst layer model for convective-diffusion transport. Numerical solution for bromide ion electroreduction on inactive rotating disk electrode under steady state conditions. Russ J Electrochem 53, 1100–1108 (2017). https://doi.org/10.1134/S1023193517100020

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  • DOI: https://doi.org/10.1134/S1023193517100020

Keywords

  • bromate anions
  • redox pair Br2/Br
  • comproportionation
  • Nernst layer model
  • redox-mediation autocatalysis