The kinetics of the polymerization of methyl methacrylate monomer were studied at 77 C using benzene as a solvent and azo-bisisobutylronitrile (AIBN) as the free radical initiator. The following contains some data from an ideal batch reactor that shows the initial rate of reaction, TM, as a function of the initial concentration of monomer, [M], and the initial concentration of initiator, [1]. (mol/L-s) x 104 1.93 1.70 1.65 1.29 1.22 0.94 0.87 1.30 0.72 0.42 [M] (mol/L) 9.04 8.63 7.19 6.13 4.96 4.75 4.22 4.17 3.26 2.07 [I] (mol/L) 0.235 0.206 0.255 0.228 0.313 0.192 0.230 0.581 0.245 0.211 Find the reaction of order of each species and the rate constant; i.e., estimate the values of the unknown constants in a rate equation, -M-k[I][M] (hint: three plots to be required as a function of [M], [1], and [I][M])