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12.2 Packed bed adsorption     361




               capacity WC as a measure of the actual adsorption capacity of the bed. If experimental data is
               available, WC may be estimated as


                                                ½L   MTZŠ     MTZ
                                       WC ¼ SC           þ 0:5        RC                   (12.13)
                                                    L           L
                  In the absence of data WC is taken as a fraction of SC as
                                                   WC ¼ SC   f                             (12.14)
                  Typical value of f may be 0.85e0.9.
                  During operation, the adsorption step is terminated slightly before the breakthrough point. This
               ensures that the effluent always remains “on-spec.”
                  In planning new processes, it is best to determine the breakthrough point and breakthrough curve
               for a particular system experimentally under conditions as close as possible to the process conditions.

               12.2.2 Desorption/regeneration
               The saturated adsorbent is either regenerated or disposed off. Disposal may be considered as an option
               when (1) adsorbent cost is low, (2) regeneration is very difficult/expensive, (3) nonadsorbed compo-
               nent is a very high value desired product, (4) chemisorption occurs and reversibility is impractical. In
               most applications, disposal is uneconomic, and adsorbent is regenerated for reuse either in-situ or in a
               separate process. The environmental effect of the disposed adsorbent is also a concern for the designer.
               Gas-phase adsorption
               Regeneration of gas adsorbers, i.e., the desorption step, involves changes in temperature, adsorbate
               partial pressure, or passing a competitively adsorbing component through the bed. The effect of tem-
               perature and pressure on equilibrium loading can be understood from Fig. 12.5. Reducing partial
               pressure of solute from p 1 to p 2 reduces equilibrium loading from q 1 to q 2 (Fig. 12.5A). At constant
               partial pressure/concentration of the adsorbate in the gas phase (or concentration in the liquid phase), an
               increase in temperature from T 1 to T 2 decreases the equilibrium loading from q 1 to q 2 in Fig. 12.6B.



                            q 1                               q 1              T 1
                          Adsorbent loading  q 2             Adsorbent loading  q q 2 3  T >T 1
                                                                               T 2
                                                                                2



                                                                             p
                                  p 2       p 1                         p 2   1
                                     Partial pressure                 Partial pressure

               FIGURE 12.5
               Effect of process variables on adsorption equilibrium for a Type I isotherm: (A) Adsorbate partial pressure
               (PSA pathway) (B) Temperature (TSA pathway).
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