Methyl methacrylate was polymerized at

Methyl methacrylate was polymerized at a mass concentration of 200 g dm^-3 in toluene using AIBN as initiator at a mass concentration of 1.64x10^-2 g dm^-3 and a reaction temperature of 60°C. Calculate the initial rate of polymerization and the molar mass of the poly(methyl methacrylate) formed in the initial stages of the reaction given that the relevant rate constants at 60°C are:

(i) initiator dissociation, k_d = 8.5x10^-6 s-1

(ii) propagation, k_p = 367 dm³ mol^-1 s^-1

(iii) termination, k_t = 9.3x10⁶ dm³ mol^-1 s^-1

(iv) transfer to monomer, k_trM = 3.93x10^-3 dm³ mol^-1 s^-1

(v) transfer to solvent, k_trS = 7.34x10^-3 dm³ mol^-1 s^-1

Assume that the initiator efficiency f = 0.7, that the termination parameter q = 1 (i.e. termination by combination is negligible), and that the density of the initial solution of methyl methacrylate in toluene is 860 g dm^-3