Page 487 - Modelling in Transport Phenomena A Conceptual Approach
P. 487

10.3.  MASS TRANSPORT                                               467

           The unknown coefficients Cn  can be determined from the initial condition defined
           by Eq.  (10.3-47). The result is









                                                                          (10.3-56)

           Hence, the solution becomes


                                                                          (10.3-57)






                                                                          (10358)


              The molar rate of  absorption of species A is given by





                                                                          (10.3-59)


           Substitution of &.  (10.3-57) into E!q.  (10.3-59) results in


                                                                          (10.3-60)



           The moles of  species A absorbed can be calculated from

                                                                          (10.3-61)


           Substitution of  Eq.  (10.3-60) into &.  (10.3-61) yields


                                                                          (10.3-62)
   482   483   484   485   486   487   488   489   490   491   492