The half-life of a third-order reaction A + 2B>R, was measured at several temperatures and several initial concentrations of A and B, as shown in the below table. Assume first- order with respect to A and second-order with respect to B. Run T(C) CAO /mol.m3 CBo /mol.m3 t1/2 (min) 1 100 0.01 0.02 28.193 2 150 0.02 0.04 5.399 3 200 0.03 0.06 1.944 4 250 0.04 0.08 0.923 a. Derive the integrated rate law for the above reaction, assuming constant volume and temperature. [6 marks] b. Starting from the integrated rate law of part a, derive a relation between t1/2, CAO and rate constant ka. [2 marks] c. Use the relation of part b to calculate the rate constant, ka at each of the above runs. Give units of the rate constant. [2 marks] d. Using linear regression, calculate the activation energy (SI units) and the frequency factor of the Arrhenius Law. Provide all necessary equations, show all calculations, and give units of calculated values. [10 marks]