Page 555 - Elements of Chemical Reaction Engineering Ebook
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Chap. (3   Questions and Problems                              525
                                           Additional information:

                                                                       cal
                                                             k, = 0.4
                                                                    cm . min . K   .
                                                           Reactor diameter = 3 cm
                                           Plat temperature reaction rate as a function of radius at specific locations
                                           down the reactor. Plot the centerline temperature as a function of conversion.
                                       (8)  What  do you  think about neglecting radial variations in  concentration?
                                           Read Chapter 11, then show that
                                                                      m
                                                         a2T  k  3T
                                                  a2T
                                                                              dT
                                                k,--fk,-+~---~  2 CC  -
                                                   3zz    ar2   r  ar       pJ  az


                                           where De is the effective diffusivity. (Experts only)
                                P8-2SC  A reaction is to be carried out in the packed-bed reactor shown in Figure P8-25.
                   I  Feme 1
                    Application
                     Pending
                   for Problem
                      Hall of


                                                             Figure PS-25

                                       The reactants enter in the annular space between an outer insulated tube and an
                                        inner  tube  containing  the  catalyst.  No  reaction  takes  place  in  the  annular
                                        region. Heat transfer between the gas in this packed-bed reactor and the gas
                                        flowing counter currently in the annular space occurs along the length of  the
                                        reactor. The overall heat-transfer coefficient is 5 W/ m2 K . Plot the conversion
                                        and temperature as a function of reactor length for the data given in
                                        (a)  Problem P8-5.
                                        (b)  Problem P8-6.
                                        (c)  Problem P8-15.
                                 3?8-26B (Position of reaction front) Using the computer program (or a slight variation
                                        thereof) given in Example 8-10, determine the effect on the temperature and
                                        conversion profiles of varying the inlet temperature when the reaction is c'anied
                                        out adiabatically. In particular, study the effect of  the inlet temperature on the
                                        position of the reaction front (i.e., the position where the temperature rises very
                                        steeply).
                                 PS-27,  (Optimum inlet temperature for sulfur dioxide oxidation) Using the same data,
                                        feed flow rate, and composition as given in Example 8-10, determine the inlet
                                        temperature that will give the maximum conversion of SO,  in an existing tubu-
                                        lar reactor  containing 2500 Ib  of  V20, that is operated adiabatically. (Hint:
                                        Only a slight modification of the computer program shown in Section 8.10 may
                                        be necessary to find this optimum To .)
                                 P8-2SB  You  are an engineer who is to design a CSTR for the elementary consecutive
                                        gas-phase reactions
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