An ideal gas is taken from an initial state i to a final state f in such a way that the ratio of the pressure to the absolute temperature remains constant. What will be the work done by the gas?

Sol. initial State ‘I’ Final State ‘f’ Given P base 1 / T base 1 = P base 2 / T base 2 where P1 ⟶ Initial Pressure ; P2 ⟶ Final Pressure. T base 2, T base 1 ⟶ Absolute temp. So, ∆V = 0 Work done by gas = P∆V = 0