Question

Question 2 2.1 Consider a stirred tank heater which is characterised by the following equation: z4 pCpE The tank has a constant liquid volume V, 50 litres and a constant volumetric flow rate of F 10 litres/minute. For liquid water, the other parameters are pCp 1 kcal/ litre.°C. Determine the process gain and time constant of the system. 2.1.1 2.1.2 Write down the transfer function of the process. (9) 2.1.3 Determine the time-domain output of this process to a step input change. 2.2 Use the initial and final value theorems of Laplace transforms to determine the initial and final values of the process output for a unit step input change to the following transfer functions 5s+12 2.2.1 G(s)7 7s+4 (7s2+45+2)(6s+4) 2.2.2 G(S)(4s+4+ 1)(16s2 +4s+1) G300 .0 452+2s+1 2.2.3 G(s)4+0. [25 marks]

Answer 1

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