Page 214 - Elements of Chemical Reaction Engineering 3rd Edition
P. 214

186                                   isothermal Reactor Design   Chap. 4

                               4.  Stoichiometry, Recalling  Equation  (3-45) for the  case of  constant  tempera-
                                 ture  and  pressure,  we  have  for  isothermal  operation  and  no  pressute  drop
                                 (T=To, P= Po),

                                                               FA
                                                       C,=C    -                    (E4- 10.6)
                                                             To P,

                                                                                    (E4-10.7)


                                                               FC
                                                       c, = e,,  -                  (E4- 10.8)
                                                               FT

                                                                                    (E4- 10.9)

                                                      -IA rB = r,                  (E4- 10.10)
                                                          =
                               5.  Combining and summarizing:







               Summary of
                 equations
          describing flow and
               reaction in a
                membrane
                   reactor







                               6.  Parameter evaluation:
                                     C,"  = -   0.082 atm.dm3/(mol.K)  (500 K)  = 0.2 -
                                                                               mol
                                                          8.2 atm
                                           Po  =
                                                                               dm3
                                          RT,





                              7.  Numerical solution. Equations  (E4-10.1)  through  (E4-10.10)  were  solved
                                 using POLYMATH and another  ODE Solver MATLAB. The profiles  of  the
                                 molar  flaw  rates  are  shown  below.  Table  E4-10.1  shows  the  POLYMATH
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