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528                        Steady-State Nonisothermal Reactor Design   Chap, 8

                                (a)  Find  the  ideal  inlet  temperature  for  the  production  of  styrene  for  a
                                    steam/ethylbenzene  ratio  of  58: 1.  (Hint: Plot  the  molar  flow  rate  of
                                    stryrene versus To. Explain why your curve looks the way it does.)
                                (e)  Find the ideal steam/ethylbenzene ratio for the production of  styrene at
                                    900 K. [Hint: See part (d).]
                                (0  What do you believe to be the points of this problem?
                                (g)  Ask another question or suggest another calculation that can be made for
                                    this problem.
                                Additional information:
                                                        Heat capacities
                                       Methane  68 J/mol. K    Styrene     273 J/mol.K
                                       Ethylene  90 J/mol. K   Ethylbenzene  299 J/mol *K
                                       Benzene  201 J/mol.K    Hydrogen    30 J/mol-K
                                       Toluene  249 J/mol.K    Steam       40 J/mol.K
                                         p = 2137 kg/m3 of pellet
                                         + = 0.4
                                    AHRxlEB = 118,000 kJ/kmol ethylbenzene
                                    AHRx2EB = 105,200 kJ/kmol ethylbenzene
                                    AH,,,,,   = -53,900 kJ/kmol ethylbenzene
                                                                                 I
                                               { ;
                                                                     +
                                        K~, exp  b, + 3 + b3 In (TI + [(b,~ b,) T + b6] T  atm
                                           =
                                        b1  = -17.34               b4 = -2.314 X lo-''
                                         b2 = -1.302X  lo4         b5 = 1.302 X
                                         b3  = 5.051               bs  = -4.931 X low3
                                The kinetic rate laws for the formation of styrene (St), benzene (B), and tolu-
                                ene (T), respectively, are as follows. (EB = ethylbenzene)





                                                 (
                                  rZB = p (1 - +) exp  13.2392 -



                                  r3T = p (1 - 4) exp           (F'EBPH2)  (kmol/m3 * S)

                                The temperature T is in kelvin.
                         P8-31B  The liquid-phase reactions

                                     (1)      A+3       >  D    (desired reaction)
                                     (2)      A+B    k2  >  U   (undesiredreaction)
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