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Sec. Q 5   Nonadiabatic Reactor Operation: Oxidation of Sulfur Dioxide Example   483

                                temperature to the reactor will be adjusted so as to give the maximum conver-
                                sion. 'Two constraints are present here. The reaction rate over V,O,  catalyst is
                                negligible  below  -750"F,  and  the  reactor  temperature  should  not  exceed
                                -1125°F at any point.I8 A series of inlet temperatures should be tested, and the
                                one above 760°F  giving the maximum conversion, yet having no reactor tem-
                                perature exceeding 1120"F, should be used.
                                     'The  cooling  substance  should  operate  at  a  high  temperature  so  as  to
                                improve  thermal  efficiency  by  reuse  of  heat.  The  most  suitable  substance
                                appears to be Dowtherm A, with a normal operating limit of -750°F but which
                                on occasion has been used as the coolant in this preliminary design.lg


                                   Exmnple  8-10  Oxidation of SO,

                                   The feed to an SO, converter is 7900 lb mol/h and consists of  1 1 % SO,,  IO%  O;, and
                                   79% inerts (principally N2). The converter consists of  4631 tubes packed with cata-
                                   lyst, each  20  ft long. The tubes  are 3 in. 0.d.  and 2 782 in. i.d. The tubes wdl be
                                   cooled by  a boiling liquid at 805"F, so the coolant temperature is constant over this
                                   value. The entering pressure is 2 atm.
                                        For inlet temperatures of 740 and 940°F, plot the conversion, temperature, equi-
                                   librium conversion, and reaction rate profile down the reactor.

                                   Additional  information:
                                        9 = 0.45                  U  = 10 Btu/h.ft2.R
                                        po = 0.054 lb/ft3         A,  = 0.0422ft2
                                        Po = 2 atm                To = 1400"R (also To = 1200 R)
                                        D, = 0.015 ft             g,  = 4.17 X IO8 Ib;ft/lbf~h2
                                        p = 0.090 lb/ft. h at 1400 R   pb = 33.8 lb/ft3 (bulk density)
                                   Using recent JANAFZ0 values of  K,  at 700 and 900 K, the equilibrium constant at
                                   any temperature Tis
                                                                  1
                                                       42,3 1 1
                                                              11.24   (K, in atm-1/2, Tin R)   (E8-X0.1)

                                   at 1600"R,

                                                            K, = 7.8 atm-",


                                 18J. R.  Donovan and J. M, Salamone, in Kirk-Othmer Encyclopedia  of  Chemical Tech-
                                  nology, 3rd ed. (New York: Wiley, 1984).
                                 lgThe vapor pressure of  Dowtherm A  at 805°F is very high, and this pressure would
                                  have to be maintained in the shell side of  the reactor for boiling Dowthenn A to be
                                  used as a coolant at this temperature. This aspect will be included in the discussion of
                                  the problem results.
                                     R.
                                 20D. Stull and H. Prophet, Project Directors, JANAF  Thermochemical Tables, 2nd
                                  ed., NSPDS-NBS 37 (Washington, D.C.:  US. Government Printing Office, 1971).
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