The following multiple elementary liquid phase reactions take place in a continuous stirred tank reactor (CSTR): where D is the desired product and U is the undesired one. The reactor inlet consists of a solution containing only A at a concentration of CA0. (a) Formulate mass balances for all 3 components of the reaction in the CSTR. (b) Derive the equations for the concentrations of the three reaction components, CA, CD, and CU, as a function of space-time, , the three kinetic constants, and the concentration CA0. (c) Prove that the optimal space time (), for which the concentration of D is maximized, is given by the following equation: (d) Derive an equation for converting A to optimal space time

Ak1Dk3Uvkk2 =[k2(k1+k3)](21) Ak1Dk3Uvkk2 =[k2(k1+k3)](21)