An ideal gas (left(C_{P}=5 mathrm{kcal} / mathrm{kmol}^{circ} mathrm{C}, C_{V}=3 mathrm{kcal} / mathrm{kmol}^{circ} mathrm{C} ight)) is changed from

An ideal gas \(\left(C_{P}=5 \mathrm{kcal} / \mathrm{kmol}^{\circ} \mathrm{C}, C_{V}=3 \mathrm{kcal} / \mathrm{kmol}^{\circ} \mathrm{C}\right)\) is changed from \(1 \mathrm{~atm}\) and \(22.4 \mathrm{~m}_{3}\) to \(10 \mathrm{~atm}\) and \(2.24 \mathrm{~m}^{3}\) by the following reversible process:

(a) Isothermal compression;

(b) Adiabatic compression followed by cooling at constant volume;

(c) Heating at constant volume followed by cooling at constant pressure.
Calculate \(Q, W, \Delta U\) and \(\Delta H\) of the overall process in each case.