Page 58 - Adsorbents - fundamentals and applications
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SIMPLE CRITERIA FOR SORBENT SELECTION  43

            or in its expanded form (using the Langmuir isotherm):
                                                  b
                                           q 1  q m 1 1
                                      S =     ·                           (3.63)
                                                  b
                                           q 2  q m 2 2
            The above parameter can thus be used to compare the performance of two sor-
            bents. The better sorbent will have a correspondingly higher value for S.
              Returning to the AFM discussed before (Eq. 3.57), its similarity to the param-
            eter S (Eq. 3.63) now becomes obvious. If the equilibrium adsorption data seem
            to give a good fit to the Langmuir equation (as is usually the case for commonly
            occurring gas separation applications), then the selectivity α 1,2 would not differ
            significantly under adsorption and desorption conditions. As a result, α 2  /α des
                                                                        ads
            would reduce to simply α 1,2 , which is indeed the case with the parameter S
            defined above. Also the  N 2 (or  q 1 ) factor is common to both the parameters,
            the only difference is the addition of the parameter  q 2 in the denominator. The
            latter parameter serves to increase the sensitivity of the parameter and, more
            importantly, makes it a non-dimensional value.

            Test of Sorbent Selection Parameter (S). To demonstrate the usefulness
            of the S parameter in comparing adsorbent performances, examples from pub-
            lished PSA simulation results were used. Both of these examples deal with the
            production of O 2 by separating it from N 2 present in atmospheric air. The two
            pairs of sorbents to be considered for comparison are as follows: (1) LiX or
                                      +
            LiLSX (Si/Al = 1.0, 100% Li − exchange) and NaX (or 13X), and (2) LiX
                               +
            (Si/Al = 1.0, 100% Li − exchange) and LiAgX (Si/Al = 1.0, 1.1 Ag per unit
                                                                       +
            cell and ∼94 Li per unit cell). These two pairs have been previously analyzed
                         +
            for their performance for air separation by PSA using computer simulations of a
            proven model by Rege and Yang (1997) and Hutson et al. (1999).
              A five-step PSA cycle (i.e., a commercially used cycle) was used for both
            groups of sorbents in this test. The steps involved in each cycle are as fol-
            lows: (1) pressurization with the feed gas, namely 22% O 2 (mixture of O 2 with
            Ar impurity included) and 78% N 2 ; (2) high-pressure adsorption with the feed
            gas or feed step; (3) co-current depressurization; (4) countercurrent blowdown;
            (5) countercurrent low-pressure purge with the product of the feed step (oxygen).
            All the steps above involved equal duration (30 s). Thus the time required for
            the completion of each PSA cycle was 2.5 min. The model assumed only two
            adsorbable components, namely O 2 and N 2 . The less-strongly adsorbed species,
            like Ar, were grouped with O 2 with the assumption that all contaminants in air
            like CO 2 and water vapor were removed completely prior to feeding by using
            pretreatment beds. The product of each cycle comprised a volumetric mixture of
            the output stream of the feed step and the co-current depressurization step. This
            product stream was partly used to purge the bed countercurrently in step (5). The
            gas was fed to the PSA beds at 298 K.
              The model used assumed an adiabatic bed, negligible pressure drop in bed
            and axial dispersion. Further details about the simulation model used as well as
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