A mathematical model has been proposed for an isotopic exchange reaction between the solid particles and ions in a solution of finite volume. A theoretical equation has been derived to predict the exchange fraction as a function of the dimensionless time T with the kinetic parameters ξ, ξ1 and final fractional uptake U as parameters for the exchange rate controlled by combined film diffusion, surface chemical reaction and intraparticle diffusion. The exchange fraction increases as the values of T, U, ξ and ξ, increase. Experimental results of the isotopic exchange systems CaCO3(s)Ca2+ (aq), CaC2O4(s)/ Ca2+ (aq) and Ca‐form Dowex 50W‐X8/Ca2+ (aq) agree well with the theoretical equation proposed in this study.
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Huang et al. (1977) studied this question.
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