Problem 1: 60 points total Consider a system consisting of two CSTRs connected by a pipe. The reactors are isothermal and the pipe acts as a pure time delay, with delay 0. Assume that the holdups are constant, the flow rate is constant, and that the component A undergoes a first-order irreversible reaction, converting it to B. a) (40 points) Derive the transfer function relating Caz to Cao. b) (20 points) Find Caz (t) for a unit step increase in Cao CAZ CAO F Pipz, Time ozety Vz F Vi CAL Che