3. The overall rate of radical polymerization is measured as the decrease in monomer concentration over time (-d[M]/dt). If it is assumed that initiator radicals are equally as reactive as polymer radicals, the reactions below can be produced showing the dissociation, propagation, and termination steps involved in radical polymerization. a. Using the reactions provided, write the rate laws for each step. b. Derive the equation for the overall rate of polymerization from the rate laws of each step and the stationary state approximation that [P] is constant (e.g. d[P*]/dt = 0). c. Explain the effect on the polymerization rate and on the degree of polymerization if the initiator concentration is doubled. Dissociation of initiator: Propagation: P+ MK Termination P+ P* 2P* Rate law