Two models presented here predict the kinetics of adsorption from solution.
The adsorbate is considered to form a capillary separated phase inside the
micropores. The transport in the adsorbed phase is modeled as capillary tr
ansport under the influences of gradients in capillary pressure. In model I
the capillary separated phase is assumed to be continuous, while in model
II it is assumed to be discontinuous. The effective adsorbed phase diffusio
n coefficient for this transport is directly related to the pore-size distr
ibution, which can be found from the sorption isotherm. In both models the
overall apparent diffusion coefficients are compared with experimental data
. Both models satisfactorily predict the dependency of the diffusion coeffi
cient on carbon loading. Model I slightly underestimates the temperature de
pendency of the effective diffusion coefficient, while model II gives a goo
d prediction of the influence of temperature on the rate of adsorption.