(Solved): Determine the mass (in g) of the initiator, azobisisobutyronitrile \( \left(\mathrm{MW}=164.21 \ma ...

Determine the mass (in g) of the initiator, azobisisobutyronitrile \( \left(\mathrm{MW}=164.21 \mathrm{~g} \mathrm{~mol}^{-1}\right. \) ) required to produce \( 3.63 \mathrm{~kg} \) of polyethylene with an average molecular weight of \( 3.0 \mathrm{E} 5 \mathrm{~g} \mathrm{~mol}^{-1} \) from ethylene \( \left(\mathrm{MW}=28.05 \mathrm{~g} \mathrm{~mol}^{-1}\right) \). One \( \mathrm{molecule}^{\mathrm{m}} \) of azobisisobutyronitrile produces two free radical initiators that can each initiate the formation of one polyethylene chain. Assume that the initiator is only \( 47 \% \) effective and that all termination occurs by the combination mechanism. Enter your answers accurate to \( \mathbf{2} \) significant figures. Do not include units as part of your answer.