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This is set of homogeneous and gas phase reactions: A-->B-->C . The reaction scheme is carried out in a constant volume, ideal batch reactor at constant temperature. The first reaction is first order with respect to A with a rate constant k1 while the second reaction is zero order with a rate constant k2. Initially, the reactor contains only A at a concentration CA0. a) Derive expressions for the concentration of A, B, and C as a function of reaction time t
b) If k1 = 0.5 h−1, k2 = 3 mol/m3·h, and CA0 = 30 mol/m3, find the optimal time to reach a maximum yield of the desired product B, where yield is defined as YB/A = CB/CA0. What is the corresponding value of the maximum yield at this point in time? What constraints (if any) need to be placed on k1, k2, and/or CA0 in order to observe a maximum in the yield?