Q1 (25/100) With an isentropic compressor, a pure hydrocarbon gas (which can be assumed to be an ideal gas) at a flow rate of 15 kmol/h is compressed from 150 kPa to 600 kPa (absolute). The inlet temperature is 26.7°C. In the operating temperature range for hydrocarbon: Cp = 38.9 J/mol°C, γ = 1.3. (R = 8.314 J/molK; Cpwater = 4.18 kJ/kg°C).
a) If the efficiency is 75%, calculate the power of the compressor.
b) Calculate the temperature at the compressor outlet.
c) At the exit of the compressor, if it is desired to reduce the temperature of the gas to the inlet temperature by using a water-cooled heat exchanger, calculate the amount of water required for an 11.1°C cooling water temperature increase.