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Chap. 19   Questions and Problems                              51 3

                                       (e) Explore this problem and describe what you find. (For example, can you plot
                                       a form of R(7J versus G(T)?) (f,) Discuss what you believe to be the point of the
                                       problem. The idea for this problem originated from an article by  Ben Horowitz.
                                       The endothermic liquid-phase elementary reaction
                                                                A+B-+2C

                                       proceeds,  substantially, to  completion  in  a  single  steam-jacketed, continu-
                                       ous-stirred  reactor  (Table  P8-4). From  the  following  data,  calculate  the
                                       steady-state reactor temperature:
                                            Reactor volume: 125 gal
                                            Steam jacket area: 10 ft2
                                            Jacket steam: 150 psig (365.9"F saturation temperature)
                                            Overall heat-transfer coefficient of jacket, U: 150 Btul h . ft2. OF
                                            Agitator shaft horsepower: 25 hp
                                            Heat  of  reaction, AH:,  = +20,000 Btullb  mol  of  A  (independent of
                                            temperature)

                                                                 TABLE P8-4
                                                                               Component
                                                                            A      5     C
                                               Feed (lbmollhr)             10.0   10.0   0
                                               Feed temperature (OF)       $0     80    -
                                               Specific heat (Btullb mol."F*   51.0   44.0   47.5
                                               Molecular weight            128    94    -
                                               Density (lb/ft3)            63.0   61.2   65.0
                                               *Independent of  temperature.
                                               (Am:  T = 199°F)
                                               (Courtesy of the California Board of Registration for Profes-
                                               sional & Land Surveyors.)

                                 P8-5,  The elementary irreversible organic liquid-phase reacti.on
                                                                 A+B-+C

                                        is carried out adiabatically in a flow reactor. An equal molar feed in A and B
                                        enters at 27"C, and the volumetric flow rate is 2 dm3/s.
                                           Calculate the PFR and CSTR volumes necessary to achieve 85% conversion.
                                           What is the maximum inlet temperature one could have so that the boiiling
                                           point  of  the  liquid (550 K)  would  not  be  exceeded even  for complete
                                           conversion?
                                           Plot the conversion and temperature as a function of PFR volume (i.e., dis-
                                           tance down the reactor).
                                            Calculate the conversion that can be achieved in one 500-dm3 CSTR and
                                            in two 250-dm3 CSTRs in series.
                                            Vary the activation energy lo00 < E < 30,000 (caUmo1) and heat of reac-
                                            tion 2000 < IAHRd < 25,000 (caUmo1) to learn their effect on the PFR
                                            conversion profile.
                                            Discuss the application of  the runaway reaction criteria. What value of T,
                                            would you use to prevent runaway if  K  = 3 at T,  = 300 K?
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