Page 163 - Elements of Chemical Reaction Engineering 3rd Edition
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Sec. 4.2   Scale-up of  Liquid-Phase Batch Reactor Data to the Design of a CSTR   135





                  Stoichiometric table
                  for constant volume








                                                                   NA
                                                                        NA
                                                              c  - -   = -
                                                               A - v  v,



                                       4.  Combining the rate law and the mole balance, we have


                                                                                             (E4-1.3)

                                         For isothermal operation we can integrate this equation,





                        Combining
                      mole balance,      using the initial condition  that  when  t  = 0, then  CA = GAo. The initial con-
                       rate law, and     centration  of  A  after  mixing  the  two  volumes  together  is  1.0  kmol/m3
                      stoichiometry      (1 mom).
                                       .5.  Integrating yields

                                                               In    = kt                    (E4-1.4)
                                                                  LA
                  cc kfl
                                         The concentration of  ethylene oxide at any time t is
                         t


                                         The concentration  of ethylene glycol at any time t can be obtained from the
                                    reaction stoichiometry:
                         t
                                                             A+B  __$ C
                                                           NC = NAOX = NAo-  NA

                                    For liquid-phase reactions  V = V,,
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