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98   Single Reactions in Continuous Isothermal Reactors

                       TABLE 3-l
                       Comparisons of Possible Advantages  (+)  and Disadvantages  (-) of Batch, CSTR,
                       and PFTR Reactors

                                                       Batch          CSTR           PFTR
                       reactor size for given conversion               -              +
                       simplicity  and  cost            i                             -
                       continuous operation             -              T              +
                       large throughput                 -              +              +
                       cleanout                         +              +              -
                       on-line analysis              _   -             +              +
                       product certification            +              -              -

                       TABLE 3-2
                       Ratio of Residence Times and Reactor Volumes in CSTR and PFTR versus Conversion for a
                       First-Order Irreversible Reaction

                       x  =  (CAo   -  CA)/CAo          TCSTRITPFTR
                              0 . 0                         1.0
                              0.5                           1.44
                              0.9                           3.91
                              0.95                          6.34
                              0.99                         21.5
                              0.999                        145



                            It is clear that the CSTR quickly becomes extremely large (large volume or large
                       residence time) compared to the PFTR for high conversions for these kinetics. It is instructive
                       to plot CA/CA,,  versus  t  to see how CA  decreases in the two ideal reactors (Figure 3-3).
                            The example in Figure 3-3 is for a first order irreversible reaction. We can generalize
                       this to say that the PFTR requires a smaller reactor volume for given conversion for any























                       Figure 3-3  Plots of CA(t) and Cg (5) in PFTR and CSTR for a first-order irreversible reaction A + B, r = kC*,
                        By plotting versus kt, the graphs appear identical for any value of k.
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