Design of gas flow control loop. a flow control loop, consisting of an orifice in series with the control valve, a differential pressure transmitter, and a controller, is to be designed for a nominal process flow of 150,000 scfh of air. valve inlet conditions are 100 psig and 60"f, and the outlet pressure is 80 psig. the valve has linear characteristics, and a square root extractor is built into the transmitter so that its output signal is linear with flow. the valve time constant is 0.06 min, and the transmitter time constant is negligible. a proportional-integral (pi) controller controls the flow. (a) obtain the valve capacity factor, c,, and the gain of the valve. size it for 100% overcapacity, and assume c, = 0.9 (masoneilan). (b) calculate the gain of the transmitter if it is calibrated for a range of 0 to 250,000 scfh. (c) draw the instrumentation diagram and the block diagram of the flow control loop, showing the specific transfer functions of the controller, the control valve, and the flow transmitter.