Page 168 - Elements of Chemical Reaction Engineering 3rd Edition
P. 168

140                                   Isothermal Reactor Design   Chap. 4

                          CSTRs in Parallel.  We  now  consider the case in which equal-sized reactors
                          are placed in parallel rather than  in series, and the feed is distributed equally
                          among each of the reactors (Figure 4-5). A balance on any reactor, say i, gives
































                                                Figure 4-5  CSTRs in parallel.

                          the individual reactor volume


                                                                                       (4-12)


                               Since the reactors are of equal size, operate at the same temperature, and
                          have identical feed rates, the conversion will be the same for each reactor:
                                                x, = x - ... = x, = x
                                                        -
                                                       2
                          as will be the rate of reaction in each reactor


                               The volume of  each individual reactor, Vi, is related to the total volume,
                          V; of  all the reactors by  the equation
                                                             V
                                                        Vi = -
                                                             n
                          A similar relationship exists for the total molar flow rate:
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