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22                                             Mole Balances   Chap. 1

                         sometimes  offset  by  the  high  cost  of  the  reactor  and  catalyst  regeneration
                         equipment.


                            Example  1-5  Gas-Phase Industrial Reactor/Process

                            Synthesis gas  contains  a  mixture  of  carbon  monoxide  and  hydrogen  and  can  be
                            obtained from the combustion of coal or natural gas. This gas can be used to produce
                            synthetic crude by the Fischer-Tropsch reaction. Describe two industrial reactors used
                            to convert synthesis gas to a mixture of hydrocarbons by the Fischer-Tropsch process.

                            Solution
                                Reactions. The Fischer-Tropsch reaction converts synthesis gas into  a mix-
                           ture of  alkanes and alkenes over a solid catalyst Usually  containing iron. The basic
                           reaction for paraffin formation is as fo1:ows
                                          nCO+(2n+1)H2  __j C,H,,+,+nH,O             (El-5.1)
           Making Gasoline   For example, when  octane, a component of  gasoline, is formed, Equation (El-5.1)
                           becomes
                                             8CO + 17H,  --+ C, H,, + 8H,O           (El-5.2)
                           Similarly, for the formation of  olefins,

                                             nCO + 2nH,  ---+ C, H,,  + nH,O         (El-5.3)
                           For ethylene formation, Equation (El-5.3) becomes

                                              2CO+4H,  ---+ C,H,+2H,O                (E 1 -5.4)
                                The other type of  main reaction that occurs in  this process is the water-gas-
                           shift reaction
                                                H,O  + CO e                          (El -5.5)
                                                                   +
                                                                    H,
                                                               CO,
                                In  addition to the simultaneous formation of  paraffins and  olefins, side reac-
                           tions also take place to produce small quantities of acids and nonacids (e.g., ethanol).
                                Reactors. Two types of  reactors will be discussed, a straight-through  trans-
                           port  reactor, which is also referred to as a riser or circulatingjuidized bed, and a
                           packed-bed reactor (PBR), which is also referred to as ajxed-bed reactor.
                                Riser. Because the catalyst used in the process decays rapidly at high temper-
                           atures  (e.g.,  35OoC), a straight-through  transport  reactor (STTR) (Chapter  10) is
                           used. This type of reactor is also called a riser andor a circulating bed. A schematic
                           diagram is shown in Figure El-5.1. Here the catalyst particles are fed to the bottom
                           of  the reactor and are shot ap through the reactor together with the entering reactant
                           gas mixture and then separated from the gas in a settling hopper. The volumetric gas
                           feed rate of  3  X  lo5 m3/h is roughly  equivalent to feeding the volume of  gas con-
                           tained in the University of  Michigan football stadium to the reactor each hour.
                                A  schematic  and  photo  of  an  industrial  straight-through  transport  reactor
                           used at Sasol are shown in Figure El-5.2 together with the composition of  the feed
                           and  product  streams. The  products  that  are  condensed  out  of  the  product  stream
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