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364                               Nonelementary Reaction Kinetics   Chap. 7

                                      The steps in free-radical polymerization reaction and the corre-
                                 sponding rate laws are summarized in Table 7-3. For the polymeriza-
                                 tion of  styrene at 80°C initiated by  2,2-azobisisobutyronitrile the rate
                                 constants9 are

              Initiation         k.,, = 1.4 x 10-3 s-1       k,,, = 3.2 X loh2 dm3/mol.s
              propagati~
              Transfer           kp = 4.4 X lo2 dm3/mol.s    k, = 1.2 X lo8 dm3/mol.s
              Termination
                                 k, = 2.9 X    dm3/mol s     kd = 0
                                                       *

                                                       TABLE 1-3
                                                                              Rate Law
                         Initiation:
                                                     I,  4, 21
                                                  I+M  -% R,
                         Propagation:
                                                 R,  + M  --% Rj+,
                         Chain transfer to:
                           Monomer:
                                                 Rj+ M  -%  Pj+R,
                           Another species:
                                                 Rj+C  -&  Pj+ R,
                           Solvent:
                                                 Rr  + S     Pj+R,
                         Termination:
                           Addition:


                          Disproportionation:




                         Qpical initial  concentrations for the  solution polymerization of  styrene are
                         0.01 M for the initiator, 3 M for the monomer, ,and 7'M for the solvent.

                              7,3,2,2 Dweloplng the Rate Law8 for the Net Rate
                                     of  Reactlon

                             We begin by  considering the rate of  formation of  the initiator radical Z.
                         Because there will always be scavenging or recombining of the primary radi-
                         cals, only a certain fraction f will be  successful in initiating polymer chains.

                          D. C, Timm and J, W. Rachow, ACS Symposium Series 133, H. M. Hulhrt, ed., 1974,
                          p.  122.
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