Abstract
A more detailed model for nonisothermal sorption in a single microporous particle is proposed, based on the gradient of chemical potential as driving force and simultaneous gas and adsorbed phase diffusion. The system of the simultaneous mass diffusion and heat conduction equations, linearized to simplify the analysis, is solved analytically, yielding the internal concentration, temperature profile and the kinetic uptake of the particle. It's shown that two parameters play an important role: Lewis number Le and thermal Biot number Bi. The isothermal model would be valid if LeBi > 100 and the uniform temperature profile model proposed by Lee and Ruthven would be a good one if Le > 10. In other cases, the more complete model presented herein should be used.
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