When bulk styrene is heated to $120C,$ polymerization occurs because of thermal

initiation in the absence of an added initiator. It is observed that polystyrene with

$Mn=200,000\frac{g}{m}ol$ is produced under these conditions at a rate of $0\mathrm{.}011g$

polymer$/$liter$/$min$.$

Using this information, calculate the total initial rate of polymerization expected if

an initiator with concentration $0\mathrm{.}1mo\frac{l}{L},k_d={10}^{-4}se{c}^{-1},$ and $f=0\mathrm{.}8$ is added to this

system at $120C.$ The initial concentration of styrene is $10mo\frac{l}{L}.$ Assume the

termination by disproportionate is negligible.