Answer Happy

QUESTION 5 40 points Sa = An electrically heated stirred tank system of section 2.4.3 (page 23) of the Textbook is modeled by the following second order differential equation: 9 d 2t/dt 2 + 12 dT/dt +T=T;+ 0.05 Q where Ti and T are inlet and outlet temperatures of the liquid streams and Q is the heat input rate. At steady state Ti,ss = 100 °C, T: ss = 350 °C, Q ss=5000 kcal/min (a) Obtain the transfer function T'(s)/Q'(s) for this process [Transfer_function] (b) Time constant t and damping coefficient ( in the transfer function are: [Tau], [Zeta] (c) At t= 0, if Q is suddenly changed from 5000 kcal/min to 6000 kcal/min, calculate the exit temperature T after 2 minutes. [T-2minutes] (d) Calculate the exit temperature T after 8 minutes. [T-8minutes] Inn