Problem 2 (50 points): The first order, reversible reaction A H B + 2C is taking place in a membrane reactor. Pure A enters the reactor, and B diffuses through the membrane. Unfortunately, some of reactant A also diffuses through the membrane. Other information of the reaction in the membrane reactor is shown below: = k= 10 min-1 Kc = 0.01 mol2/dm6 kca = 1 min-1 kCB = 40 min-1 Fao= 100 mol/min vo= 100 dm3/min Vreactor = 20 dm3 Please formulate the differential equations that can be used to solve for the flow rates of species A, B, and C as a function of reactor volume and the flow rates of A and B through the membrane