Nitrogen gas leaves a compressor at 2.0 MPa and 120°C and is collected in three different cylinders, each of volume 0.3 m³. In each case the cylinder is to be filled to a pressure of 2.0 MPa. Cylinder 1 is initially evacuated, cylinder 2 contains nitrogen gas at 0.1 MPa and 20°C, and cylinder 3 contains nitrogen at 1 MPa and 20°C. Find the final temperature of nitrogen in each of the cylinders, assuming nitrogen to be an ideal gas with C^∗_P = 29.3 J/mol K. In each case assume the gas does not exchange heat with the cylinder walls.