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Sec. 8.4   Equilibrium Conversion                              473




                     Gasoline
                   c5     10%
                                Feed
                           10%
                   cb     20%  520.
                   c7
                    CS    25%                                                                roduct
                    c9    20%                                                                500'
                    Cl0    10%
                    cII-cI2 5%
                                                                                  To Catalyst
                                                                                  Re ge n e r a~t i on
                                      Figure 8-9  Interstage heating for gasoline production in moving-bed reactors

                 Typical values for  gasoline  is  approximately  200  m3/h at 2  atm. Hydrogen  is usually  separated
                gasollne production   from the producl stream and recycled.
                                     Because  the  reaction  1s  endothermic,  equilibrium  conversion  increases
                                with increasing temperature. A typical equilibrium curve and temperature con-
                                version trajectory for the reactor sequence are shown in Figure 8-10.








                  Interstage heating





                                     Figure 8-10  Temperaturesonversion trajectory for interstage heating of  an
                                     eridothermic reaction corresponding to Figure 8-9.


                                   Example 8-9  Interstage  Cooling

                                   What conversion  could be  achieved  in  Example  8-8 if  two  interstage  coolers were
                                   available that had the capacity to cool the exit stream to 350 K? Also determine the
                                   heat  duty  of  each exchanger for a  molar feed  rate of  A of  40  molls. Assume  that
                                   95% of equilibrium  conversion is achieved in each reactor.  The feed temperature to
                                   the first reactor is 300 K.
                                        We  saw  in Example 8-8 that  for an  entering temperature of  300  K  the adia-
                                   batic  equilibrium conversion was 0.41. For 95% of  equilibrium conversion, the con-
                                   version  exiting  the  first  reactor  is  0.4. The  exit  temperature  is  found  from  a
                                   rearrangement  of  Equation  (E8-8.7):
                                                     T = 300 + 400X = 300 + (400)(0.4)
                                                     T, = 460 K
                                   We now  cool  the gas stream exiting the reactor  at 460 K  down to  350 K  in  a heat
                                   exchanger (Figure E8-9.1).
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