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Consider a perfectly mixed stirred-tank heater, with a two liquid feed streams and a single liquid product stream, as shown below: Process information: fluid water, C_p = 4.2 kJ/kg degree C, rho = 1 kg/litre Process constants: F1 = 10 litre/s, F2 = 5 litre/s, T1 = 10 degree C, T2 = 30 degree C and V = 1 m^3 Process input variable: Q a. Given the output temperature T is 40 degree C at steady state, what is the corresponding energy requirement Q in kW from the heater? b. Derive the process transfer function between Q and T using the symbols given. State all assumptions. ing. c. What is the time constant and process gain of this process? d. For a step change increase in Q of 50% what is the output temperature T after (i) 1 minute (ii) 3 minutes (iii) 10 minutes ing.
Consider a perfectly mixed stirred-tank heater, with a two liquid feed streams and a single liquid product stream, as shown below: Process information: fluid water, C_p = 4.2 kJ/kg degree C, rho = 1 kg/litre Process constants: F1 = 10 litre/s, F2 = 5 litre/s, T1 = 10 degree C, T2 = 30 degree C and V = 1 m^3 Process input variable: Q a. Given the output temperature T is 40 degree C at steady state, what is the corresponding energy requirement Q in kW from the heater? b. Derive the process transfer function between Q and T using the symbols given. State all assumptions. ing. c. What is the time constant and process gain of this process? d. For a step change increase in Q of 50% what is the output temperature T after (i) 1 minute (ii) 3 minutes (iii) 10 minutes ing.
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