heat-exchanger process

P9.6 shows a heat-exchanger process whose purpose is to maintain the temperature of a liquid at a prescribed temperature. The temperature is measured using a sensor and a transmitter, TT 22 , that sends the measurement to a corresponding controller , TC 22 , that compares the actual temperature with a desired temperature set point , SP. The controller automatically opens or closes a valve to allow or prevent the flow of steam to change the temperature in the rank. The corresponding block diagram for this system is shown in Figure P9.6(b) (smith , 2002). Assume the following transfer function:

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