The rate constant for termination, kt, may be of the order of 108L/(mols) in free radical polymerizations. Consider the polymerization of styrene initiated by di-t-butyl peroxide at 60C. For a solution of 0.01M di-t-butyl peroxide and 1.0M styrene in benzene, the initial rate of polymerization is 1.5107mol/(Ls) and Mn=138,000. a) Estimate kp for styrene at these conditions. b) What is the average lifetime of a polymer radical at the beginning of the polymerization? c) You need to make polystyrene with Mn=85,000 instead of 138,000. You decide to use tbutyl mercaptan as a chain transfer agent to reduce the Mn of polystyrene. What concentration of t-butyl mercaptan do you need to use? Assume that ktr=368.85L/(mol s) for t-butyl mercaptan at these conditions