1) STH Volume, V=8x103 m 2) Feed rate, F=2x103 m/s. 3) STH time constant, T=V/F. 4) Density, p=1000 kg/m 1) Specific heat capacity, Cp=4200 1/kgC F (L/min), T. (C) F. (kg/s) Steam F (L/min), T (C) Condensate Figure 2.0 Stirred tank heater system a) Show that the P-only controlled STH model can be reduced in the form dx =a-bx dt where a and b are constant parameters. [3 marks] a) Determine an expression for the deviation in temperature x(t) in terms of the parameters a and b. [2 marks] b) Suppose that the system is initially operating at steady-state with Tis 20C when the inlet temperature increases to 750C. For values of t=0, 2, and 10, plot the deviation in temperature as a function of time for various values of Kc 0, 3 x103 and 1 x 101. [9 marks] a) By considering the results in part (b), discuss the effect of controller gain Kc on the response of a P-only controlled process. [2 marks] b) In the context of sensitivity of the response, degree of oscillations and overshoot, explain how the response of a PID controlled process is affected by each of the following tuning parameters. Sketches may be used if necessary. 1) Controller gain [2 marks] ii) Integral time [2 marks] iii) Derivative time [2 marks] End of test!!!