An ideal gas goes from state A to state B via three different processes as indicated in the P - V diagram: If Q_1, Q_2, Q_3 indicate the heat…

An ideal gas goes from state A to state B via three different processes as indicated in the P - V diagram : If $\displaystyle \mathrm{Q}_1, \mathrm{Q}_2, \mathrm{Q}_3$ indicate the heat absorbed by the gas along the three processes and $\displaystyle \Delta \mathrm{U}_1, \Delta \mathrm{U}_2, \Delta \mathrm{U}_3$ indicate the change in internal energy along the three processes respectively, then :