Consider the free radical polymerization of styrene (MW of 104) in the solvent toluene (MW of 92) at 60oC. The initiator is di-t-butyl peroxide. The initial concentration of initiator is 0.04 mole/dm3 and can be assumed constant. The initial monomer concentration is 2 mole/dm3. The initial rates measured for initiation and propagation are ri = 1.6 x 10-9 mole/dm3-s and rp = 6.4 x 10-6 mole/dm3-s. All terminations are by disproportionation. (a) Determine the initial degree of polymerization, x!, assuming that any chain transfer is negligible. (b) In reality, there is chain transfer to styrene and the chain transfer coefficient is equal to 0.85 x 10-4. How much does transfer to styrene affect the molecular weight? (c) The ! of this polymer is too high. It should be 40,000 g/mole. One way to reduce it further is to add the chain transfer agent, CCl4, which has a CT of 9 x 10-3. How much should be added? (d) What is the monomer conversion after 10 hours? Remember that [I]0 can be assumed constant.