The reaction scheme for many organic syntheses process takes the following route: A2C1B3D For one such process, the first order rate constants have been determined and provided below. k1=0.010h1k2=0.020h1k3=0.018h1k4=0.012h1 a) Derive the expression for CA,CB, and CC as a function of the reaction time in a batch reactor. b) Determine the optimal residence time leading to the maximum concentration of B and C in a plug flow reactor. Report specific values of concentration of B and C if the feed only consists of A with an initial concentration of 1mol/dm3. c) What will be the optimum mean residence time if the same process takes place in a CSTR instead of PFR? Also calculate the maximum concentration of B&C for this case