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526                       Steady-State Nonisothermal Reactor Design   Chap. 8

                                                     A   k'>B  k2)C

                                The feed conditions and desired product specifications are known, together with
                                the temperature of the heating medium. It is your job to design the reactor, that
                                is, to specify the reactor volume and the area of the heating coil inside the reactor.
                                (a)  Calculate the desired operating temperature inside the reactor. (Ans.: 269°F.)
                                (b)  Calculate the volume of the reactor. (Am: 6.58 ft3.)
                                (c)  Calculate the area of the heating coil. (Am:  18.1 fp.)
                                (d)  Find a set of conditions that will give multiple steady states if reaction 1
                                    is exothermic rather than endothermic. How many steady states can you
                                    find? (Am: 5.) Make a plot of  G(T) vs. R(T) and of T, vs.  To.

                                Additional irlformation:
                                     Product:
                                          The ratio C,/C,  is equal to  10.
                                          50% of A in the feed is converted.

                                     Feed:
                                          The feed is gas-phase and pure A.
                                          The molar flow rate is 0.05 Ib mol/&
                                          The volumetric flow rate is 7.85 ft3/s.
                                          The temperature is 400°F.
                                          The pressure in the reactor is 4 atm.

                                     Heat capacities:
                                          Cp's of A, B, Ad C are all 25 Btu/lb rnol."F.
                                 Reaction 1:                      Reaction 2:
                              A,  = 2x 109 s-1                 A,  = 1 X lo1* s-l
                              E, = 31,000 Btu/lb mol           E, = 40,000 Btu/lb mol
                           AHRxl = 15,000 Btu/lb mol A reacted   AHRx2 = -20,000 Btu/lb mol C reacted
                                     Heat transfer:
                                          The heating medium is saturated high-pressure steam at 350°F.
                                          The overall heat-transfer coefficient between the heating medium
                                          and the reaction mixture is 400 Btu/h.ft2*"F.
                                (Multiple  reactions  with  heat  effects)  Xylene  has  three  major  isomers,
                                rn-xylene, o-xylene, and p-xylene.  When  o-xylene is passed over a Cryotite
                                catalyst, the following elementary reactions are observed:



            Application                                fl (Q
              Pending                                            CH3
            for Problem
              Hall of                         6LH3 ci"
               Fame                                          k3   '  0
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