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Introduction to Reactor Design Fundamentals for Ideal Systems  291





























                              Figure 5-11.  Concentrations versus time of A, B, and C in a simultaneous
                                                            –1
                                                                                    –1
                                                                         –1
                              irreversible reaction for k  = 1.0 hr , k  = 2.0 hr , k  = 3 hr , and k  =
                                                                                            4
                                                                             3
                                                    1
                                                                2
                                 –1
                              4 hr .
                                        PARALLEL SECOND ORDER REACTIONS
                                Consider an irreversible chemical reactions scheme of the form
                                 A +  B  →   C
                                          
                                          k 1
                                 A +  C  →    D                                         (5-91)
                                          
                                          k 2
                              in which A reacts with B to form C and with further reaction of A
                              with C to form D in a constant volume batch reactor under isothermal
                              conditions. The rate equations for components A, B, C, and D are


                                 − ( r  )  =−  dC A  = kC C  + k C C                     (5-92)
                                   A net           1  A  B   2  A  C
                                            dt

                                 − ( r  )=−  dC B  = kC C                                (5-93)
                                   B            1  A  B
                                          dt
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