Page 140 - Elements of Chemical Reaction Engineering 3rd Edition
P. 140

112                                 Rate Laws and Stoichiometry   Chap. 3

                                The relative rates of reaction are
                                                   1  rA  - rE  - rc  - rD I         (2-20)
                                                                     d
                                                                c
                                                    -a
                                                          -b
                             5. In the case of  ideal gases, Equations (S3-3) through (S3-6) relate vol-
                               ume and volumetric flow rate to conversion.
                               Batch constant volume:  V = Vo                        (S3-3)
                                                                         T
                               Batch variable volume:  V = Yo                        (S3-4)



                                                                         T
                               Flow systems:         u  = uo    (1 + EX) -           (S3-5)
                                                                        TO
                               where the change in the number of  moles per mole of A fed is
                                                        I  ‘=YA08  1                 (S3-6)



                               and the change in the number of moles per mole of A reacted is

                                                                b
                                                            c
                                                         d
                                                    i8=;+;-;-1
                                                                                     (S3-7)
                             6. For the ideal gas-phase reaction
                                                    b           C     d
                                                A+-B  __j -C+-D
                                                    a           a     a
                               the volumetric flow rate is


                                                                                     (S3-8)


                               Using the stoichiometric table along with the definitions of concentra-
                               tion (e.g.,  CA = FA/u), the concentrations of A and C are:







                                                                                    (S3-10)

                             7. When the reactants  and products  are incompressible  liquids,  the con-
                               centrations of species A and C in the reaction given by Equation (2-2)
                               can be written as
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