Please show work for all parts

_An ideal gas has Cp=7/2 R. We are designing a steady-state process to compress the gas from an initial state of P=1 bar and T=300 K to a final state of P=64 bar and T=135K. This is carried out in three steps: (i) The gas is cooled from its initial state to T=135K in a heat exchanger; (ii) The gas is then compressed to P=64 bar in an adiabatic reversible compressor; (iii) The gas is then cooled in a second heat exchanger to T=135 K. Find the work added and heat removed per mole of gas for each of the above processes