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              Membranes, Synthetic, Applications                                                          309





















                     FIGURE 22 Two-step, two-stage membrane system to produce pure nitrogen and a concentrated propylene stream
                     from a dilute feed gas. (Membrane Technology and Research, Inc.) [Baker, R. W., et al. (1998). J. Membrane Sci.
                     159, 55–62.]

              separation factor, β evap , and the membrane-moderated  At low permeate pressures typical of ideal pervapora-
              factor, β mem , viz.,                             tion, the same form for membrane selectivity applies as

                            β pervap = β evap · β mem   (15)    for gas or vapor separation of components A and B, which
                                                                will be discussed later. This simple selectivity equals the
              This form stresses that part of the separation in the perva-  inverse ratio of the resistances of the membrane to perme-
              poration process occurs independent of the presence of the  ation of components A and B [  B /  A from Eq. (1)]. This
              membrane, β evap . Equation (15) also stresses that part of  ratio can be shown to simply equal to the ratio of perme-
              the separation relies strictly on the identity of the mem-  abilities of the two components in the material comprising
              brane material being used, β mem . In this context, the mem-  the selective layer of the membrane.
              brane is seen as separating a hypothetical vapor feed (in
              equilibrium with the actual liquid feed) and the down-          β mem =  P A  = α mem       (16)
              stream vapor permeate product.                                          P B
                                                                Factors governing P A and P B are understood, so the key
                                                                scientific issues in pervaporation materials selection are
                                                                similar to those in gas separation.
                                                                  Significant opportunities exist for pervaporation in
                                                                niches where distillation has a weakness, such as with
                                                                azeotropes and close-boiling point organic–organic mix-
                                                                tures, whose composition cannot be changed by conven-
                                                                tional distillation unless the thermodynamic equilibrium is
                                                                shifted by additional components (as in extractive distil-
                                                                lation). When size differences between liquid components
                                                                           ˚
                                                                are about an Angstrom or less, fine size discrimination
                                                                again requires careful consideration, as in the case for
                                                                gases discussed above. Especially when solubility selec-
                                                                tivity offers little advantages, such as with isomers like
                                                                o- and p-xylene, or n- and i-butane, control of mobility
                                                                selectivity offers special opportunities. Efficient module
                                                                designs are critical to ensure adequate heat transfer and
                                                                solvent resistance, and these aspects still require signi-
                                                                ficant development.


                                                                  1. Alcohol Dehydration
              FIGURE 23 Pervaporation process concepts: (a) partial vacuum  Ethanol–water separation was the first industrial-scale ap-
              operation and (b) permeate-side sweep stream operation.  plication of pervaporation. It remains the dominant use of
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