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Chapter 3. Mathematical Modeling of PSA Systems 3.2 Adsorbent Bed Dynamic Modeling One common assumption made in the modeling work shown here is applicability of Ideal gas law over the entire operating range of pressure and temperature, for the gaseous species mixture under investigation. The main reason of this assumption is the relatively low level of of operating pressure (varying from 1 atm - 7 bars) along with narrow range of temperature changes (with minimum level around 300 K) encountered in this work. 3.2.1 Adsorption Isotherm An adsorption isotherm mathematically defines the relationship between the con- centration of the molecules of a given species in the gas phase with its concentra- tion in the adsorbed phase, under equilibrium conditions and constant tempera- ture. A variety of isotherms have been studied and employed in past modeling studies (see Table 3.1) and can be classified in two main categories of single site or multi site adsorption isotherms, depending on whether a single adsorbate molecule occupies one or multiple adsorption sites [93, 9]. The actual choice of adsorption isotherm thus completely depends upon both the gas and solid sys- tem under consideration, as the equilibrium adsorbed phase concentration of a given component strongly depends upon several important factors such as partial pressure in gas phase of the given component, temperature, and the electrostatic interaction between the molecules with the adsorbent and the other species at the adsorption sites. (3.1) [ Ncomp ( )]ai Q∗i =aiKiCiRT1−∑ Q∗i Qmax Qmax i i=1i −∆Hi Ki =K∞ieRT 47PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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