Problem 1. (50 points) A irreversible, first order reaction A → B occurs in two CSTRS in series shown in the figure below. The volume of content in the reactors

(V) is constant and the reactors are operated isothermally and at a constant volumetric flow rate (q). The feed contains only species A with concentration of CAi. The rate constant of reaction is k. (a) Find the transfer function between the concentration of species A out of the second reactor(CA2) and the concentration of species A into the first reactor (CAi); (b) If the reactors are initially operated at steady state and a step disturbance suddenly occurs in the concentration of species A into the first reactor from CAi1 to CAi2, find the steady state value of CA2 after introducing the disturbance.