choical Chemistry Reaction Kinetic Free-Radical polymerizations Applying the steady-state approximation d°M=2/M|1-2kM=0 dt The steady-state concentration of radical chains =/)2 k (17102) The rate of propagation of the chains (the monomer is consumed) plmM 1/2 1/2 k (17103) Central the rate of polymerization is proportional to ature the sql uare root of the initiator concentration9 Free-Radical Polymerizations Physical Chemistry 2 [ ] 2 [ ] 0 [ ] 2 = − • = • fk I k M dt d M i t Applying the steady-state approximation The steady-state concentration of radical chains The rate of propagation of the chains (the monomer is consumed) [ ][ ] [ ] k M M dt d M p = − • 1/ 2 1/ 2 [ ] [I] k fk M t i         • = (17.102) [ ] [ ] [ ] 1/ 2 1/ 2 I M k fk k dt d M t i p         = − (17.103) The rate of polymerization is proportional to the square root of the initiator concentration. Central feature Reaction Kinetics