The Grand Ensemble of Subsystems: Applications to Fitting Single-Component Adsorption Data

Physics – Chemical Physics

Scientific paper

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11 pages, 6 figures, 2 tables

Scientific paper

In this work, it is reviewed the cell model of adsorption by using the small system grand ensemble method. Under the common assumption that the adsorbate phase is divided into identical and weakly-interacting subsystems, it is suggested that the general multiparametric isotherm that arise from the theory may be used to fit the experimental data of adsorption of gases and vapours on microporous adorbents (type I isotherm), even though these present heterogeneties like pore size distribution. A simplified isotherm that reduces the number of adjustable parameters with respect to the general isotherm is proposed. Both isotherms, due to their relative high accuracy, can be used to estimate thermodynamical properties like isosteric and differential heats of adsorption. Also, a simple method is presented for systems that show an apparent variation in the coverage limit as function of temperature; for several systems, this method reduces the fitting deviations. Finally, several applications to fitting data of adsorption, taken from literature, of some gases on activated carbon, molecular sieving carbon, silica gel, and pillared clays are presented.

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