I. 1A circulating chilled-water system is used to cool an oil stream from 90 to 70F in a tube-inshell heat exchanger shown. The temperature of the chilled water entering the process heat exchanger is maintained constant at 50F by pumping the chilled water through a cooler located upstream of the process heat exchanger. The design chilled-water for normal conditions is 600 gpm, with chilled water leaving the process heat exchanger at 65F. Chilled-water pressure drop through the process heat exchanger is 15psi at 800gpm. Chilled-water pressure drop through the refrigerated cooler is 15psi at 800gpm. The temperature transmitter on the process oil stream leaving the heat exchanger has a range of 40180F. The range of the orifice-differential pressure flow transmitter on the chilled water is 01500gpm. All instrumentation is electronic (4 to 20 mA ). Assume the chilled-water pump is centrifugal with a flat pump curve (total pressure drop across the system is constant). The control valve has a linear trim with Cv=128.81gpm/psi0.5. The valve is 40 percent open at the 800gpm design rate and has a maximum flow of 1500gpm. 1) The total pressure drop through the system is 2) The pressure drop through the cooler and the heat exchanger at maximum flow rate is 3) The value of the signal from the temperature transmitter is 4) The value of the signal from the flow transmitter is 5) If Cv=200gpm/psi0.5 and the total pressure drop through the system is 200psi, determine the fraction open of the chilled-water control valve when the chilled-water flow rate is reduced to 600 gpm. f(x)=