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3.2 Adsorption Equilibrium Modeling Adsorption equilibrium models are highly important not only for PSA processes, but other applications as well. Collection of equilibrium data is tedious and time consuming; hence an accurate model avoids the need for excessive lab work. Numerous models for both single and multi-component adsorption currently exist in literature. Equilibrium modeling has been well studied and written about in numerous texts, specifically ones by Crittenden & Thomas, Ruthven et al., Suzuki, and Yang.7-10 This section provides a brief summary of equilibrium models relevant to this study starting with the most basic and then increasing in complexity. 3.2.1 Henry’s Law Equilibrium between a solid adsorbent and adsorbate molecules is determined from thermodynamics. The adsorbed layer(s) is considered a separate phase in a thermodynamic sense. At low adsorbate concentrations, the equilibrium relationship closely resembles a linear function, which is defined as Henry’s Law: where n* is the equilibrium amount adsorbed of component, KH is the “Henry’s Law” constant, and p is the partial pressure of adsorbate in the gas phase. An Arrhenius relationship is used for the temperature dependence of the Henry’s law constant. In equation 3.4, ΔQ is the heat of adsorption, R is the ideal gas constant, K0 is related to adsorption entropy change, and T is temperature. At low pressure as density approaches 37PDF Image | LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION
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