A pressure vessel is connected, via a value, to a gas main in which gas is maintained at a constant pressure and temperature of 1.4 MN/m2 and 850 C respectively. The pressure vessel is initially evacuated. The valve is opened and a mass of 2.7 kg of gas passes into the pressure vessel. The valve is closed and the pressure and temperature of the gas in the pressure vessel are then 700 kN/m2 and 600C, respectively. Determine the volume of gas before transfer.
For the gas, take Cp = 0.88 kJ/kg K,
Cv = 0.67 kJ/kg K. Neglect the velocity of the gas in the main.