The method of determining the liquid phase surface diffusivity based on the parallel diffusion model was presented. The model can be described in the form with two parameters,
X and
Y.
X is defined as the ratio of the porosity to the tortuosity factor as a parameter of the adsorbant, and
Y is the ratio of surface diffusivity,
Ds to diffusivity,
DL of the solute in a solution. It was shown that an objective function to identify the model with an experimental adsorption rate has a minimum value on a line with respect to
X and
Y, in contrast to the results of having a minimum value at a point in several papers.
The tortuosity factor was measured using methanol as a solvent to inhibit the contribution of surface diffusion. For the measurement of surface diffusivity aqueous solutions were used, then the diffusivity was evaluated from both the tortuosity factor and the line decided by the objective function. The diffusivities and amount of equilibrium adsorbed,
qe were correlated by the form,
DS/
DL=α
qeβ, where α and β are experimental coefficients.
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