Rework Problem P9-3B for the case when a heat exchanger with UA = 10,000 Btu/h-ft2-°F and...

Rework Problem P9-3B for the case when a heat exchanger with UA = 10,000 Btu/h-ft2-°F and a control system are added and the mass flow rate is increased to 310 lbm of solution per hour.

(a) Plot temperature and mass of ammonium nitrate in the tank as a function of time when there is no control system on the reactor. Assume that all the ammonium nitrate reacts, and show that the mass balance is

There are 500 lbm of A in (the CSTR, and the reactor temperature, T, is 516 °F at time t = 0.

(b) Plot T and MA as a function of time when a proportional controller is added to control Ta in order to keep the reactor temperature at 516 °F. The controller gain, kc, is —5 with TM set at 975 °R. Plot T and MA versus time when a PI controller is added with τI = 1. Plot 7” and MA versus time when two PI controllers are added to the reactor: one to control Ta0 and a second to control M by manipulating the feed rate  mA0

with Msp = 500 lbm, kc2 = 25 h−1, τ2 = Ih.