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208                                    Isothermal Reactor Design   Chap. 4


                                     while achieving not  less than  90% conversion? Refemng to Table  1-1,
                                     estimate the cost of  the batch reactor.
                                 (0  Write a couple of  sentences describing what you learned from the prob-
                                     lem and what you  believe to be the point of  the problem.
                          P4-6,   Dibutyl phthalate (DBP), a plasticizer, has  a potential  market of  12 million
                                 lblyear (AZChE Student Contest Problem) and is to be produced by reaction of
                                 n-butanol with monobutyl phthalate (MBP). The reaction follows an elemen-
                                 tary rate law and is catalyzed by  H2S04 (Figure P4-6). A stream containing
                                 MF3P  and butanol is to be mixed with the HzSO4 catalyst immediately before
                                 the stream enters the reactor. The concentration of MBP in the stream enter-
                                 ing the reactor is 0.2 lb mol/ft3 and the molar feed rate of butanol is five times
                                 that of MBP. The specific reaction rate at 100°F is 1.2 ft3/lb mol  hr . There is
                                 a lO00-gallon CSTR and associated peripheral equipment available for use on
                                 this project for 30 days a year (operating 24 Wday).

                                     0                                  0
                                     II                                 II
                                     C-   0 - C4H9                      C-   O-C4H9
                             @LOH                                       C-   0 - C4HQ  +  HZ0
                                                + C4H,0H
                                                                        II
                                     I1
                                                                        0
                                     0
                                      (MBP)      (n-butanol)              (DBP)
                                                       Figure P4-6



                                (a)  Determine the exit conversion in the available 1000-gallon reactor if you
                                    were to produce 33% of  the share (Le., 4 million lb/yr) of  the predicted
                                    market. (Ans.: X = 0.33).
                                (b)  How might you increase the conversion for the same Fm? For example,
                                    what  conversion would  be  achieved  if  a  second  1OOO-gal CSTR were
                                    placed either in series or in parallel with the CSTR? X2 = 0.55 (series)
                                (c)  For the same temperature as part (a), what CSTR volume would be nec-
                                    essary to achieve a conversion of 85% for a molar feed rate of  h4BP of  1
                                    ib moYmin?
                                (d)  Compare your  results  for part  (c) with  those  of  the PFR necessary  to
                                    achieve 85% conversion.
                                (e)  Keeping in mind the times given in Table 4--1 for filling, and other oper-
                                    ations, how many  1000-gallon reactors operated in the batch mode would
                                    be necessary to  meet  the required production of  4 million pounds  in  a
                                    3Oday period? Estimate the cost of  the reactors in  the system. [Note:
                                    Present in the feed stream may be some trace impurities, which you may
                                    lump as  hexanol.  The  activation energy  is believed  to  be  somewhere
                                    around 25 kcal/mol. The PFR in part (d) is more oblong than cylindrical.
                                    with a major-to-minor axis ratio of  1.3: I.]  (An Am.: 5 reactors)
                                (0 What generalizations can you make from this problem?
                                (g)  Write a question that requires critical thinking and then explain why your
                                    question requires critical thinking. [Hint; See Preface pxx]
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