Abstract
A new approximate rate law for non-linear adsorption and diffusion in a spherical adsorbent particle is developed based on an equivalent film resistance model. The approximation provides a quantitatively correct description of the effect of the adsorption isotherm for parallel pore and solid diffusion as well as of the effect of a variable adsorbed-phase diffusivity. In general, uptake curves calculated with this new approximation compare favorably with the numerical solution of the adsorption–diffusion equation in spherical coordinates producing results of accuracy similar to that obtained when the LDF approximation is used for systems with a constant diffusivity.
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