Nitrogen gas, which is initially in 101 kPa and 300 K conditions and exhibits ideal gas behavior, is compressed to a pressure value of 400 kPa in a compressor with a mechanical efficiency of 77%. Calculate the following using generalized virial coefficient correlations for compressor output conditions:

a) The amount of work requirement of the compressor (kJ/mol)

b) The temperature value of nitrogen gas at the compressor outlet (K)

c) Entropy change of nitrogen gas (K3/kmol K)

Use the Cp/R=A+BT equation. (ideal gas)