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Sec. 7.3   Polymerization




                                              I







                                      2
                                      g

                                      I







                                            0.000    20.000   40.000   60.000   80.000   100.OOO
                                                                  t . (hr)

                                              Figure 7.5  Monomer concentration as a functional time,

                                                        rate of propagation      E     L
                                           ' rate of propagation + rate of termination   rp + r,
                                             =
                                                               k, MR*
                                             = k,MR'+k,SR'+k,MR'+k,CR'+k,(R*)*
                                      Simplifying

                                                                  k, M
                                                    k, M + k,M  + k,C + k,S + Jm)
                                                                                              (7-43)
                                              I                                       I
                                 In the absence of chain transfer, the monomer concentration, M, can be deter-
                                 mined from Equation (7-43)  and concentration of  initiator, 12, from mation
                                 (7-40). Consequently we have p as a function of time. We now set



                                 to urie in the Mory distribution.
                                      It can be shown that in the absence of  termination by combination, the
                                 mole: fractions yj and weight fraction wj are exactly the same as  those far step
                                 polymerization. That is we can determine the dead polymer concentratioi~s and
                                 molecular weight distribution of dead polymer in free radial polymerization for
                                 the  Flory  distributions. For  example, the  concentration  of  dead polymer  of
                                 chain length R is
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