.. please do it correct..

a) A flow control loop which consists of a control valve, a transmitter and a controller is to be designed for a nominal process flow of 110,000 scfh of gas. The inlet pressure and temperature are 90 psig and 85F, respectively while the outlet pressure is 55 psig. The valve shows linear characteristic and a square root extractor is built in the transmitter so that its output signal is linear with the flow. Given the average molecular weight of the gas and air are 35 g/mol and 29 g/mol, respectively, determine the valve size with full trim for 100% overcapacity. Assume Cp = 0.9. (10 marks)