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Statistically Modeled Adsorption Isotherms for the Multilayer Gas Molecules Adsorbed on Non-porous Solid Adsorbents of Two and Three Groups Sites
Chem. Eng. Depart., Hanyang University, 17 Haengdang-dong, Sungdong-Ku, Seoul, Korea
Korean Journal of Chemical Engineering, March 2000, 17(2), 156-168(13), 10.1007/BF02707137
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Abstract
The adsorption isotherms with each saturation vapor pressure factor (cs1, cs2 or cs3) for two groups of sites in two cases of the multilayer and for three groups of sites in one case of the multilayer are derived statistically in heterogeneous non-porous solid adsorbents without interactions among the adsorbed molecules. When some sites of BET isotherm are substituted by less energetic sites, the two-group isotherm obtained by substitution, shows less adsorption over the whole range of relative pressure than the BET isotherm prior to the substitution, at any combined values of f1 with M1 of the two-group isotherm with the same saturation vapor pressure factor. A method to get the monolayer sites (vm) from the ratios of the experimental isotherm to the theoretical isotherm at the whole relative vapor pressure minimizing the standard error is suggested. Our two-or three-group isotherms calculated through many experimental adsorption isotherm data selected appropriately provide larger values of vm than those obtained from BET isotherm. Differential heat vs. v/vm and Bose-Condensation heat are mentioned.
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Hackerman N, J. Phys. Chem., 62, 1212 (1958)
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Hill TL, J. Chem. Phys., 67, 1958 (1946)
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Hollaraugh CM, J. Phys. Chem., 65, 109 (1961)
Isirikyan AA, J. Phys. Chem., 65, 601 (1961)
Jaroniec M, "Physical Adsorption on Heterogeneous Solids," Elsevier, Amsterdam etc. (1988)
Joyner LG, J. Am. Chem. Soc., 70, 2353 (1948)
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Langmuir, J. Am. Chem. Soc., 40, 1361 (1918)
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Rhodin TN, J. Am. Chem. Soc., 72, 4343 (1950)
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Rudizinski W, "Adsorption of Gases on Heterogeneous Surfaces," Academic Press, New York etc. (1992)
Sears FW, "Statistical Thermodynamics," Thermodynamics, Kinetic Theory, and Statistical Thermodynamics, Chapter 11, Addison-Wesdey Publishing Company, 3rd ed., 302 (1975)
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Tompkins FC, Trans. Faraday Soc., 46, 569 (1950)
Van Dun JJ, J. Phys. Chem., 92, 6740 (1988)
Van Dun JJ, J. Phys. Chem., 92, 6747 (1988)
Zettlemoyer AC, J. Am. Chem. Soc., 72, 2752 (1950)
