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               254                                                                         Adsorption (Chemical Engineering)


               TABLE I Some Important Applications of Zeolite Adsorbents
                                                                         Effective
                          Cationic   Formula of typical                  channel
               Framework   form          unit cell         Window      diameter ( ˚ A)       Application

               A          Na      Na 12 [(AlO 2 ) 12 (SiO 2 ) 12 ]  8-Ring (obstructed)  3.8  Desiccant: CO 2 removal from natural gas
                          Ca      Ca 5 Na 2 [(AlO 2 ) 12 (SiO 2 ) 12 ]  8-Ring (free)  4.4  Linear paraffin separation; air separation
                          K       K 12 [(AlO 2 ) 12 (SiO 2 ) 12 ]  8-Ring (obstructed)  2.9  Drying of cracked gas containing C 2 H 4 , etc.
               X          Li(LSX)  Li 96 [(AlO 2 ) 96 (SiO 2 ) 96 ]  12-Ring  8.4  PSA oxygen production
                          Na      Na 86 [(AlO 2 ) 86 (SiO 2 ) 106 ]  12-Ring  8.4  Pressure swing H 2 purification
                          Ca      Ca 40 Na 6 [(AlO 2 ) 86 (SiO 2 ) 106 ]  12-Ring  8.0  Removal of mercaptans from natural gas
                          Sr, Ba a  Sr 21 Ba 22 [(AlO 2 ) 86 (SiO 2 ) 106 ]  12-Ring  8.0  Xylene separation
               Y          K       K 56 [(AlO 2 ) 56 (SiO 2 ) 136 ]  12-Ring  8.0   Xylene separation
                          Ca      Ca 28 [(AlO 2 ) 56 (SiO 2 ) 136 ]  12-Ring  8.0  Fructose–glucose separation
               Mordenite  Ag      Ag 8 [(AlO 2 ) 8 (SiO 2 ) 40 ]  12-Ring  7.0     I 2 and Kr removal from nuclear off-gases
                          H       H 8 [(AlO 2 ) 8 (SiO 2 ) 40 ]
               Silicalite  —      (SiO 2 ) 96           10-Ring            6.0     Removal of organic compounds from water
               ZSM-5      Na      Na 3 [(AlO 2 ) 3 (SiO 2 ) 93 ]  10-Ring  6.0     Xylene separation

                 a  Also K–BaX.

               pure silica analogs of many zeolite structures, as well  stant is simply a thermodynamic equilibrium constant, and
               as topologically similar AlPO 4 structures (AlPO 4 sieves),  the temperature dependence therefore follows the familiar
               have now been prepared, and for practical purposes it is  vant Hoff equation,
               therefore convenient to consider such materials zeolites                  − H 0 /RT
                                                                                 K = K e                     (1)
                                                                                       0
               even though they do not fall within the traditional defi-
               nition of a zeolite. Examples of some practically impor-  where − H 0 is the limiting heat of adsorption at low
               tant zeolite adsorbents are given in Table I, together with  coverage, R the gas constant, and T absolute temperature.
               the nominal micropore diameters, as determined from the  Since adsorption is generally exothermic, the Henry con-
               crystal structures.                               stant decreases with temperature. A corresponding dimen-
                 Carbon molecular sieves are produced by controlled  sionless Henry constant K can be defined in terms of fluid-
               pyrolysis and subsequent oxidation of coal, anthracite,  phase concentration c [K = lim c→0 (∂q/∂c) T ], where q
               or organic polymer materials. They differ from zeolites  is the sorbate concentration in adsorbed phase, rather
               in that the micropores are not determined by the crystal  than partial pressure, and since for an ideal vapor phase

               structure and there is therefore always some distribution  c = p/RT , the two constants are related by K = RTK .
               of micropore size. However, by careful control of the man-  Henry’s law corresponds physically to the situation where
               ufacturing process the micropore size distribution can be  the adsorbed layer is so dilute that there is neither compe-
               kept surprisingly narrow, so that efficient size-selective  tition for adsorption sites nor sorbate–sorbate interaction.
               adsorption separations are possible with such adsorbents.  At higher concentration levels both of these effects be-
               Carbon molecular sieves also have a well-defined bi-  come important.
               modal (macropore–micropore) size distribution, so there  The equilibrium isotherms for microporous adsorbents
               are many similarities between the adsorption kinetic be-  are generally of type I form in Brunauer’s classification
               havior of zeolitic and carbon molecular sieve systems.  (Fig. 1). Such isotherms are commonly represented by the
                                                                 Langmuir model,


               IV. ADSORPTION EQUILIBRIUM

               A. Thermodynamics of Adsorption
               At sufficiently low concentrations on a homogeneous sur-
               face the equilibrium isotherm for physical adsorption will
               always approach linearity (Henry’s law). The limiting
               slope of the isotherm [lim p→0 (∂q/∂p) T ] is referred to as  FIGURE 1 Brunauer’s classification of equilibrium isotherms. P,
               the Henry constant K . It is evident that the Henry con-  sorbate pressure; P s , saturation vapor pressure.
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