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2 8  PLANT DESIGN AND ECONOMICS FOR CHEMICAL ENGINEERS

       ALKYLATION UNIT EQUIPMENT
       DESIGN AND SELECTION

       Reactor  Volume
       Assume a  4-h  cycle and operation of the alkylator at constant temperature and
       pressure of 115°F and 1 atm, respectively. The volume of reactants per day (with
       a 10% safety factor) is
                         (12,259)        (26,418)      (1758)(7.48)
                  ’  =  (8.34)(0.88)  +  (8.34)(0.7533)  +  (2.44)(62.4)

                    = 1670 + 4160 + 86 = 5916 gal/day
                       5916
                     =  -   = 986 gal/cycle
                         6
       If the reactor is 75 percent full on each cycle, the volume of reactor needed is
                                     986
                                VR = -    = 1315 gal
                                     0.75
       Select a  1300-gal,  glass-lined, stirred reactor.


       HEAT OF REACTION CALCULATION
                        G&(,)  + w-L(,)   +  C&b  . w-bs(~,
                   w   = AHf(C6HS.q2Hz)1    -  AHf(C,H&  -  AHf(q2HZ4,1

       The heats of formation AHf  of dodecylbenzene and dodecene are evaluated
       using standard thermochemistry techniques outlined in most chemical engineer-
       ing thermodynamic texts, The heat formation of benzene is available in the
       literature.
                                          -  54,348 Cal/g  mol
                         AHfc6H,.C,2HZS)I  =
                                          -  51,239 Cal/g  mol
                             AHfWW      =
                              AHf(C,H,Y  = 11,717 Cal/g mol
       Thus,
                AH, = -54,348 -  11,717 + 51,239 = - 14,826 Cal/g  mol
                    =  -  26,687 Btu/lb mol

       Assume heat of reaction is liberated in 3 h of the 4-h cycle  (i  of an operating
       day):

                 Qr=              (s)(i)(;)                    ,
                                       (-26,687) = -211,500  Btu/h
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