Abstract
Abstract Surface-diffusion data in a gaseous adsorption system using an octadecylsilyl-silica gel as an adsorbent were analyzed according to a restricted Knudsen diffusion model. A linear correlation was confirmed between the ratio of the restriction energy for Knudsen diffusion to the isosteric heat of adsorption, Qst, and 1/(−Qst). It was proved that a linear correlation could be observed under the conditions that a linear free-energy relation and an enthalpy–entropy compensation in adsorption equilibrium were established. An estimation procedure of the surface-diffusion coefficient (Ds) was proposed based on the results. It was demonstrated that Ds of various adsorbates at given temperatures could be estimated with an error of less than about 50% from only one datum of the adsorption equilibrium constant measured at a different temperature. Similarly, Ds in gas-phase adsorption could be estimated from the evaporative energy of the adsorbates without experimental data.
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