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472                       Steady-State Nonisothermal Reactor Design   Chap. 8

                              Higher conversions than those shown in Figure E8-8.1 can be achieved for
                          adiabatic operations by connecting reactors in series with interstage cooling:







                         The conversion-temperature plot for this scheme is shown in Figure 8-8.

                                           1




           Interstage cooling
         used for exothermic
          reversible reactions







                                                           T
                                       Figure 8-8  Increasing conversion by interstage cooling.


                         Endothermic Reactions.  Another  example  of  the  need  for  interstage  hear
                         transfer in a series of reactors can be found when upgrading the octane number
                         of  gasoline. The more compact the hydrocarbon molecule for a given number
                         of carbon  atoms, the higher the octane rating. Consequently, it is desirable to
                         convert straight-chain hydrocarbons to branched isomers, naphthenes, and aro-
                         matics. The reaction sequence is








                                      Straight         Naphthenes     Aromatics
                                       Chain

                              The first reaction step (k, ) is slow compared to the second step, and each
                         step is  highly  endothermic.  The  allowable  temperature  range  for  which  this
                         reaction can be carried out is quite narrow: Above 530°C undesirable side reac-
                         tions occur and below 430°C the reaction virtually does not take place. A typ-
                         ical feed stock might consist of  75% straight chains,  15% naphthas, and  10%
                         aromatics.
                              One arrangement currently used to carry out these reactions is shown in
                         Figure 8-9. Note that the reactors are not all the same size. Typical sizes are on
                         the order of  10 to 20 m high and 2 to 5 m in diameter. A typical feed rate of
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