Chain$-$growth polymerization of methyl methacrylate is being performed in a batch reactor.

$100$ liters of the liquid monomer are added together with $10$ mol of an initiator whose half$-$life at the reaction temperature is $50$ hours. Assume that the initiator dissolves in the monomer and does not lead to any appreciable change of volume.

The efficiency of the initiator, f$,$ is about $0\mathrm{.}3$ and the density of the liquid monomer is $940$ g$/$L at the reaction temperature.

The propagation rate constant is $55$ L$/$s$.$mol. Termination is primarily by the combination mechanism and the termination rate constant, kt$,$ is $25\mathrm{.}5$ x $106$ L$/$s$.$mol.

Calculate:

The mass of polymer produced after $10$ hours of reaction time.