Page 325 - Adsorption, Ion Exchange & Catalysis- 2007, Elsevier - Copy
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Else_AIEC-INGLE_cH004.qxd  7/1/2006  6:53 PM  Page 321
                  4.2 Design of Adsorption and Ion-Exchange Processes  321


                  Solution
                  The dimensionless numbers needed for further calculations are

                                                   du  ps
                                              Re  p      0.154


                                               Sc      1002
                                                    D  f


                  f
                  The mass transfer coeficient in the liquid film can be calculated using the correlation of
                  Williamson (eq. (3.346)):


                                         Sh    2.4  0.66  Re    Sc  0.34 p  0.33  8.11


                  where

                                                  )
                                                         0.524
                                               (1
                                                     p
                                            b
                  and thus
                                              kd fp
                                         Sh         k   0.00126 cm/s
                                                     f
                                              D
                                                f
                  The solid-side mass transfer coeficient is (eq. (4.174)) f

                                             15  D           6      3
                                                sb
                                       ka  su     2    1.18 10  g/sc
                                                         m
                                               r
                                                o
                  The equilibrium relationship is used for the determination of the maximum loading of the
                  solid phase (eq. (4.14)):


                                          q  o  C 178    o  0.113  229.24 mg/g


                  Then, using eq. (4.175),
                                               q
                                                max   3016.58 /g     3
                                                    c
                                                    m
                                               C  o
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