An electrically heated stirred tank system of section 2.4.3 (page 23) of the Textbook is modeled by the following second

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An Electrically Heated Stirred Tank System Of Section 2 4 3 Page 23 Of The Textbook Is Modeled By The Following Second 1 (67.33 KiB) Viewed 50 times

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 Tiss = 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 1 and damping coefficients 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)