The state of an ideal gas with C_P = (5/2)R is changed from P = 1 bar and V¹_t  = 12 m³ to P₂ = 12 bar and V²_t  = 1 m³ by the following mechanically reversible processes:

(a) Isothermal compression.

(b) Adiabatic compression followed by cooling at constant pressure.

(c) Adiabatic compression followed by cooling at constant volume.

(d) Heating at constant volume followed by cooling at constant pressure.

(e) Cooling at constant pressure followed by heating at constant volume.

Calculate Q, W, ΔU^t, and ΔH^t for each of these processes, and sketch the paths of all processes on a single PV diagram.