The stirred-tank mixing process in figure is to be analyzed

Question

Question: The stirred-tank mixing process in Figure is to be analyzed. The system has a single feed, two tanks, and a single product. All flow rates, along with the levels, are constant. Answer the following questions completely. You may assume that

(1) the tanks are well mixed,

(2) the density is constant, and

(3) transportation delays due to the pipes are negligible. For parts (a) through (c), F₃ = F_o.

(a) Derive the analytical model for the input-output system C_Ao and C_A2 with all flows constant.

(b) What is the general structure of the system in (a)?

(c) What conclusions can be determined for the system in (a) regarding the stability, periodicity, and either overshoot or inverse response for a step input?

(d) Determine the answers for (a) through (c) for (i) F₃ = 0 and (ii) F₃ = very large.