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2 Theoretical background 14 determined directly from the slope of the straight line of an adsorption isostere, as presented in Eq. 2.1.2-5. The graphical illustration of the method is shown in Fig. 2.1.2-1. d(g)=vp−sT =0 p = s = hads T v Tv v=vgas −vads vgas vgas =RT p dp = hads dT d (ln p) = − hads p RT2 d(1/T) R (Eq. 2.1.2-1) (Eq. 2.1.2-2) (Eq. 2.1.2-3) (Eq. 2.1.2-4) (Eq. 2.1.2-5) Fig. 2.1.2-1 Obtaining adsorption isostere from the adsorption isotherm [51] The magnitude of adsorption enthalpy depends on the interactions between adsorbed molecules and active sites on the surface of the adsorbent. Therefore, due to the specific degree of system heterogeneity, the adsorption enthalpy decreases as the loading progresses. Moreover, above a certain number of multilayers created at the adsorbent surface, the adsorption turns into pure condensation, so that the amount of the adsorption enthalpy approaches the evaporation enthalpy [51]. The loading dependency of adsorption enthalpy in the gas phase is shown in Fig. 2.1.2-2. Fig. 2.1.2-2 Adsorption enthalpy as function of loadingPDF Image | Modelling and Simulation of Twin-Bed Pressure Swing Adsorption Plants
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