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500                       Steady-State Nonisothermal Reactor Design   Chap. 8

                          An example is given on the CD-ROM which maps out the regions where mul-
                         tiple steady states are possible and not possible for the reaction

                                                     1
                                                co+ - 0,  Pt_S CO,
                                                     2
                         with the rate law





                         A  portion  of  the  solution  to  the  example  problem  is  shown  here  (Figure
                         CDE8- 1. l), highlighting regions where inultiple steady states are not possible.














                                                       8               KCAO
                                  Figure CDES-1.1  Mapping the regions of no multiple steady states.


                         8.7  Nonisothermal Multiple Chemical Reactions

                              8.7.1  Plug-Flow Reactors

                             In this section we give the energy balance for multiple reactions that are in
                         parallel andfor in series. The energy balance for a single reaction taking place in
                         a PFR was given by Equation (8-60)

                                         dT  - U~(T,-T)+(-~,)[-~HR~(T)~
                                         dV-             m                           (8-60)
                                                        c F1Cp
                                                        I=1
                             When q multiple reactions are taking place and there are m species, it is
                         easily shown that Equation (8-60) can be generalized to



         Energy balance for                                                          (8-87)
        I multiple reactions
        I             I
                                     I                  j=1                  I
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