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Published March 1, 1958 | Erratum + Published
Journal Article Open

Ion Exchange Kinetics. A Nonlinear Diffusion Problem


Ideal limiting laws are calculated for the kinetics of particle diffusion controlled ion exchange processes involving ions of different mobilities between spherical ion exchanger beads of uniform size and a well-stirred solution. The calculations are based on the nonlinear Nernst-Planck equations of ionic motion, which take into account the effect of the electric forces (diffusion potential) within the system. Numerical results for counter ions of equal valence and six different mobility ratios are presented. They were obtained by use of a digital computer. This approach contains the well-known solution to the corresponding linear problem as a limiting case. An explicit empirical formula approximating the numerical results is given.

Additional Information

©1958 American Institute of Physics (Received October 17, 1957) We are indebted to Dr. J. Franklin, Dr. C. B. Ray, and Dr. R. Nathan for helpful suggestions concerning the numerical integration. We also wish to express our gratitude to Mr. D. Brouillette and Miss Z. Lindberg for their valuable assistance in the computations. This investigation was supported in part by the Office of Naval Research. Contribution No. 2265 from the Gates and Crellin Laboratories of Chemistry. Errata: Ion Exchange Kinetics. A Nonlinear Diffusion Problem F. Helfferich et al. J. Chem. Phys. 29, 679 (1958)

Attached Files

Published - HELjcp58.pdf

Erratum - HELjcp58corr.pdf


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