Problem 2.1: [30] Styrene is polymerized by free radical mechanism in solution. The initial monomer and initiator concentrations are 1 M (molar) and 0.002 M, respectively. At the polymerization temperature of 60C, the initiator efficiency is 0.40. The rate constants at the polymerization temperature are as follows: ka= 1.2x 10-5s-1 kp= 176x M-15-1 ke=7.2x 10'M-15-1 Given this information, determine the following: (a) Rate of initiation at 1 min and at 12 h (b) Steady-state free-radical concentration at 1min (c) Rate of polymerization at 1 min (d) Number-average degree of polymerization at 1 min