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Else_AIEC-INGLE_cH004.qxd  7/1/2006  6:53 PM  Page 317
                  4.2 Design of Adsorption and Ion-Exchange Processes  317



                                            1                	   1
                                               ln 1     X  i  1  Fr       I  B
                                      2
                                                            +
                                          Fr  1            	  Fr   1                (4.167)
                                                       Fr
                                              Fr  1       ( I A    B  ) I           (4.168)
                                           3
                                                     Fr  1
                                                 0.808 0.192     Fr                 (4.169)
                                                         1
                                            I    ∑
                                             A     n n     Fr                       (4.170)
                                                n   1  Fr 1
                                                      1
                                          I       ∑
                                           B     nn                                 (4.171)
                                              n   1  Fr 1    1


                  where
                                                   ka        Z 
                                                   su      t     

                                                  (1   1/  	 )    u               (4.172)
                                                 b
                                                     ka su  Z
                                                X                                   (4.173)
                                                    11/    u
                                                     15  D
                                                         sb
                                                ka
                                                 su      2                          (4.174)
                                                        r
                                                        o
                                                     q
                                                      max
                                                      C  o                          (4.175)
                                                     ka
                                                  	   fu
                                                     ka  su                         (4.176)
                                                     3
                                                         )
                                                a     (1                            (4.177)
                                                 u
                                                     r  o
                  Here,  q  max  is in mass of solute per unit mass of solid and   C  o  is in mass of solute per unit
                  volume of fluid. For practical use, the infinite series   I  A  and   I  B  are shown in Figure 4.25  .
                    v e concentration  The interface relati  X  i  is related to the respectie bulk relati v e concen- v
                  tration   X as follo ws:
                  Langmuir


                                               La ( 	  X   )     	 La X  )  2
                                                        1
                                                        (
                                         X            i          i                  (4.178)
                                              ( 	   La       La X  )  i
                                                  )
                                                       1
                                                       (
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