The reaction A B, (an irreversible first-order reaction in liquid phase) is carried out in a cascade (i.e. reactor in series) of two CSTRs of equal volume. The two reactors operate at different temperatures, the first one at 20C and the second one at 40C. The reaction rate constant can be determined from the Arrhenius equation. The value of the pre-exponential factor is 2.27x10? min?, and the activation energy is 46,300 J/ mol. The size of each reactor, V, is 0.5 m3. The volumetric feed rate, vo, is 0.1 m3/min. (a) Determine an expression for the conversion after the first reactor, X1, as a function only of the rate constant at temperature T and the space time, t = V/vo. Calculate the conversion after the first reactor. (b) Determine an expression for the conversion after the second reactor as a function of only X1, T, and the rate constant at temperature T2. Calculate the conversion after the second reactor. = (c) If there were only one reactor of volume V = 0.5 m3, at what temperature should the reactor operate to achieve 80% conversion