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Chap. 6   Questions and Problems                               327
                                       Addirinnul information:
                                               k,,  = 0.25 dm6/mo12. min    uo = 10dm3/min

                                                k,,  = 0.1 dm3/mol. min    C,,  = 1.5 mol/dm3

                                                k,,  = 5.0 dm6/mo12.min    C,,  = 2.0 mol/dm3
                                           Plot  the species concentrations  and the conversion of A as a function  of
                                           the distance  (i.e., volume) down a 50-dm3 PFR. Note any  maxima.
                                           Determine  the  effluent  concentrations  and  conversion  from  a  50-dm3
                                           CSTR. (Ans.: C,  = 0.61, C,  = 0.79, C,  = 0.25, and C,  = 0.45 motldm3)
                                           Plot  the species concentrations  and the conversion of A as a function of
                                           time when  the reaction is carried out in a semibatch reactor initially con-
                                           taining 40 dm'  of  liquid. Consider two cases: (1)  A is fed to B, and (2) B
                                           is fed to A. What differences do you  observe for these two cases?
                                           Va~y the ratio of B to A (1 < OB < 10) in the feed to the PFR and describe
                                           what you find. What generalizations can you make from this problem?
                                P6-1481 The  production  of  maleic  anhydride  by  the  air  oxidation  of  benzene  was
                                       recently  studied  using  a  vanadium  pentoxide  catalyst  [Chem. Eng.  Sci , 43,
                                        1051 (1988)J. The reactions that  occur are:

                                                            9
                                       Reaction  1:   C,j H, + - 02  4 C, H,O,  + 2C02 f 2H2O
                                                            2
                                       Reaction 2:   C,H,O,  + 30,  ---+ 4C0, + H,O

                                                           15
                                       Reaction 3:   C,H,  + -02  ---+  6C02 + 3H,O
                                                           2
                                        Because these reactions  were  carried out  in  excess air,  volume  change with
                                       reaction  can be neglected, and the reactions can be written  symbolically  as a
                                        pseudo-first-order reaction sequence

                                                                L        k,
                                                            A--J-+.B~~C




                                        where A  = benzene, B  = maleic anhydride, C  = products  (H20, CO?), D  =
                                        products  (COz, H,O).  The  corresponding pseudo  specific  reaction  rates,  ki,
                                        are (in all  m3/kg cat.. s ):

                                          k, = 4280 exp[-  12,66O/T(Kl]   k, = 70,100 exp[-15,000/T(K:i]
                                                          k, = 26 exp [ - 10,80O/T(K)]
                                        At  848 IC, k, = 1.4 X   kz = 1.46 X   k, = 7.65 X loT5. These reac-
                                        tions are carried out isothermally in both a CSTR and a PBR. Benzene enters
                                        the reactor at a concentration  of 6.01 rnol/dm3. The total  volumetric flow rate
                                        is 0.0025 m3/s.
                                        (a)  Which reactions  will dominate at low temperatures and which will  dom-
                                           inate  at  high  temperatures?  For  the  sake  of  comparison,  assume  that
                                           848 K  is a moderate temperature,
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