Page 410 - Elements of Chemical Reaction Engineering Ebook
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Sec. 7.3   Polymerization                                      381
                               I   Realizing that the j = 0 term in the summation is zero and after changing the index
                                  of thie  summation and some manipulation,  we obtain
                                                        - 1                               (E7-5.11)




                                                                                          (E7-5.12)




                                                                                          (E7-3.13)

                               I   Plots of  pn and pw along with the polydispersity, D, are shown in Figure E7-5.1.
                               I






                                PN                                Pw

                                  1 .c                               1.


















                                                                   0
                                                                   (4
                                     Figure E7-5.1  Moments of live polymer chain lengths: (a) number-average chain
                                     length; (b) weight-average chain length; (c) polydispersity.


                                     We note from Equation (7-69) that after a long time the,maximum value
                                of 0,  will be reached:
                                     @I,,




                                The distributions of live polymer species for an anionic polymerization canied
                                out in a CSTR are developed in Problem P7-19.
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