One mole of an ideal gas with C_P = (7/2)R and C_V = (5/2)R expands from P₁ = 8 bar and T₁ = 600 K to P₂ = 1 bar by each of the following paths:
(a) Constant volume;
(b) Constant temperature;
(c) Adiabatically.
Assuming mechanical reversibility, calculate W, Q, ΔU, and ΔH for each process. Sketch each path on a single PV diagram.