Solve problem 8.22 for an adiabatic compression.

Data from problem 8.22

1 m³ of CO₂ initially at 150°C and 50 bar is to be isothermally compressed in a frictionless piston/cylinder device to a final pressure of 300 bar. Calculate the volume of the compressed gas, ΔU, the work done to compress the gas, and the heat flow on compression assuming

(a) CO₂ is an ideal gas.

(b) CO₂ obeys the Peng-Robinson equation of state.