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Chap. 7   Questions and Problems                               41 7


                                                             Rj + 1   kn  >  Pj            (P7- 16.2)
                                       (b)  Show that




                                           where
                                                              k, = k,+  k,+  k,,
                                       (c)  Neglecting solvent transfer, show that




                                       (d)  Explain how you can determine rate law parameters from expenmental
                                           data obtained in a CSTR. Use sketches to elucidate your explanation.
                                       (e)  Typical activation energies for the initiation, propagation, and termination
                                           steps are: 20 kUmol, 20 kJ/mol, and 9 kT/mol. Discuss the effect of  tem-
                                           perature on free-radical polymerization.
                                W-17B  The free-radical polymerization reaction discussed in Section 7.3.3 for a batch
                                       reactor is to be carried out in a CSTR and a PFR.
                                       (a)  Plot the effluent initiator and monomer concentrations as a function  of
                                           the space-time T.
                                       (b)  Compare  your  results  for  two  equal-sized  CSTRs  in  series  with  one
                                           CSTR. The total volume is the same in both cases.
                                       (c)  Vary the parameter values (Le., b, k,)  and discuss your results.

                                           Additional information:
                                               Mo = 3 mol/dm3   I20 = 0.01 mol/dm3
                                                b =     s-l   kp = 10 dm3/mol-s  kf = 5 X  IO7 dm3/mol.s
                                W-lfiA  (Anionic polymerization)
                                        (a)  Determine  the  final number-average and  weight-average chain  lengths
                                           and molecular weights along with the extent of polymerization and poly-
                                           dispersity in an anionic polymerization for an initial monomer concentra-
                                           tion of  2 M  and for initiator concentrations of  1, 0.01, and 0.0001 Ai.
                                        (b)  Calculate the radical concentration and polymer concentration as a func-
                                           tion of time for j  = 3, 7, 10 for the same monomer and initiator concen-
                                           trations. k, = w, k,  = 100 dm3/mol.s
                                        (c)  Repeat (b) for the case
                                                                r, = k, [A-] M
                                           and




                                           with k, = 10 dm3/mol.s and K, = lo-* moi/dm3.
                                 W-19, An anionic polymerization is to be carried out in a CSTR. The reaction steps are
                                                                      k,
                                                               I+M  ___)  R,
                                                             R,+M     kp  >  R,,,
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