Page 56 - Adsorption Technology & Design, Elsevier (1998)
P. 56

Fundamentals  of  adsorption  equilibria  53


               ql           C1CT
                 ~ =                                                    (3.33)
               Q'r   K12 4- (1-  K12)(cl/CT)
            A plot of cl QT/qlCT as a function of cl/CT should yield a straight line if KI2 is
            constant  (or  bl  =  bE for  equal  qm values).  Figure  3.8  is  such  a  plot  for  a
            benzene-toluene  vapour  mixture  absorbed  on charcoal.  There  is consider-
            able scatter of the experimental points (the scatter being much greater than
            the expected experimental error) with KBT varying between 5.5 and 7.2.











             r












                                            I
                           I   ....  I   I   I   I    I     I    I
                 o                         0.5                       1.0
                                          Cl/C T

            Figure  3.8  Data  for  benzene-toluene  mixtures  absorbed  on  charcoal  at  150~
                    showing  variation  of the  separation factor--Kar  =  6.6, ---KBT  =  Z2;
                     .... KBT = 5.5 (source: Thomas and Lombardi 1971).



            3.4.2   The Lewis correlation
            If, for a binary mixture al  = a2 and equation (3.31) is obeyed then, if q~  and
            qO  are  the  adsorbed  phase  concentrations  for  the  pure  components  at
            pressures pO  and pO  while ql and q2 are the corresponding quantities for the
            mixture at partial pressures pl and p2, we can write

               ql     q2  =  1                                         (3.34)
              q-V  + qW
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