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394                                         Multiple Reactions   Chap. 6


                              Summarizing to this point, we show in Table 6-4 the equations for species
                         j and reaction i that are to be combined when we have q reactions and IZ species.

                                             TABLE 6-4.  SUMMARY OF RELATIONSHIP
                                           FOR MULTIPLE REACTIONS   OCCURING A  PFR
                                                                    IN
                                 I
                                  Mole balance:   3 = rJ                      (6-26)
                                                  dV
                                  Rate laws:      rr, = k,,f,(c~,C,,C,)
                                                      4
                                  Stoichiometry:   rJ = 1 r,,                 (6-16)
                                                     i=l
          The basic equations                                                 (6-17)

                                                      "
                                                        F/
                                  Stoichiometry:   FT=  2                     (6-20)
                                                     J=  I
                                  Stoichiometry:
                                                        5 p  To
                                     (gas-phase)   C, = CTo - - -             (3-45)
                                                        FT  '0
                                     (liquid-phase)   C,  = F/ -              (6-19)
                                                      VO
                                 I

                            Example 6-6  Hydrsdealkylation  of  Mesitylene in a PFR

                            The production of m-xylene by the hydrodealkylation of  mesitylene over a Houdry
                                       5
                            Detrol catalyst involves the following reactions:






                         I  m-Xylene can also undergo hydrodealkylation to form toluene:



              A significant                                                          (E6-6.2)
          pnomic incentive                                             . CH4

                            The second reaction is undesirable, because m-xylene sells for a higher price than
                            toluene  (65  cents/lb  vs.  11.4 cents/lb).6  Thus  we  see  that  there  is  a  significant
                            incentive to maximize the production of m-xylene..


                          Ind. Eng. Chem. Process Des. Dev., 4, 92 (1965); 5, 146 (1966).
                          September  1996 prices, from  Chemical Marker Reporter  (Schnell  Publishing Co.),
                          252, 29 (July 7, 1997). Also see http:/-/www.chemweek.com/
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