Abstract
A general method of analysis is presented for the solution of the problem of diffusion of a solute in a finite medium in which a first-order reversible reaction takes place. In this problem, a solute from a wellstirred solution of finite volume diffuses into a material of finite volume. Inside the material volume, the diffusing solute is immobilized into a non-diffusing product at a rate proportional to the concentration of the ‘solute free-to-diffuse’. A reversible reaction also takes place. General analytical solutions are presented for the concentrations of the ‘solute free-to-diffuse’ and the ‘immobilized solute’ in the three-dimensional material volume as a function of time and space. To illustrate the application, the general solution for the onedimensional, time dependent case is used to obtain the solution of a specific diffusion problem inside a slab, cylinder and sphere.
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