Discussion
The expression for the rate of chain initiation in addition polymerization is :
Answer: C
The rate of initiation is 2fkd[I].
In free-radical polymerisation the initiator I decomposes with rate constant kd into two radicals, and only a fraction f (the initiator efficiency) of them start chains; the rest are lost to side reactions or cage recombination. So
\[ R_{i} = 2fk_{d}[\mathrm{I}] \]
kd[I] is only the rate of initiator decomposition, fkd[I] forgets that each molecule gives two radicals, and kd[I]/2 halves where it should double.
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