An ideal gas (left(C_{P}=5, C_{V}=3 ight)) is changed from (1 mathrm{~atm}) and (22.4 mathrm{~m}^{3}) to (10 mathrm{~atm})

An ideal gas \(\left(C_{P}=5, C_{V}=3\right)\) is changed from \(1 \mathrm{~atm}\) and \(22.4 \mathrm{~m}^{3}\) to \(10 \mathrm{~atm}\) and 2.24 \(\mathrm{m}^{3}\) by the reversible process of heating at constant volume followed by cooling at constant pressure. Draw the path in a \(P-V\) diagram and calculate \(Q, W, \Delta U\) and \(\Delta H\) of the overall process.