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332                                         Multiple Reactions   Chap. 6

                                 ably active between temperatures of  330 K to about 430 K.  The isothermal
                                 reactions involved in the synthesis include
                                                   CO+2H,  e
                                                                  CH,OH
                                                                      +
                                                  CO + H,O e H,
                                                                  CO,
                                                   CH3OH        CH,O+H,
                                The reactions are elementary and take place in the gas phase. The reaction is
                                to be carried out isothermally and as a first approximating pressure drop will
                                be  neglected.  The  feed  consists  of  A hydrogen  gas,  f  carbon  monoxide,
                                  carbon dioxide, and   steam. The total molar  flow rate is 300 mol/s.  The
                                entering pressure may be varied between 1 atm and 160 atm and the entering
                                temperature between  300  K  and  400  K.  Tubular  (PFR)  reactor  volumes
                                between 0.1 m3 and 2 m3 are available for use.
                                (a)  Determine the entering conditions of temperature and pressure and reac-
                                    tor volume that will optimize the production of methanol. (Hint: First try
                                    To = 330 at Po = 40 atm, then try To = 380 Po = 1 am.)
                                (b) Vary  the ratios of  the entering reactants to CO (i.e.,  OH2 and OHZO) to
                                    maximize methanol production. How do your results compare with those
                                    in part (a)? Describe what you find.

                                Additional  information:
                                         V = 40 dm3, Tis in kelvin.   R  = 1.987 cal/mol

                                                    13 1,667
                                             exp[y. (;--..L]]
                                        K, =


                                                    103.943
                                             exp[ 7 - A]]
                                                       (;
                                        K, =
                                                       .
                                                                      ;))I
                                                               * (A  (s)
                                                                               2
                                         k, = 0.933 exp[2.5-[?      -           s-]


                                         k,-=  0.636 exp ['".""" (3iO - - - f]],d,T;s -
                                                     -.






                         236-25,  Oleic acid epoxide (E) is produced by  the catalytic epoxidation of  oleic acid
                                (OA) [J.  Fotopoulos, C. Georgakis, and H. Stenger, Chern. Eng. Sci., 51, 1899
                                (1996)l. The raw  materials are pure benzaldehyde (B) and oleic acid  (OA).
                                Unfortunately,  undesired  products are also formed, including benzoic  (BA)
                                and perbenzoic acids (PBA). The reaction sequence is

                                              (1)  O,+B    k1  >  PBA
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