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Q.
A sample of gas expands from volume $V_1$ to $V_2$. The amount of work done by the gas is greatest when the expansion is
AFMCAFMC 2007
Solution:
The $P$ - $V$ diagram for isobaric, isothermal and adiabatic process of an ideal gas is shown in graph below
In thermodynamics, for same change in volume, the work done is maximum for the curve having maximum area enclosed with the volume axis.
Area enclosed by the curve $\propto$ (Slope of curve)
As shown
(slope) $_{\text {isobaric }}<$ (slope) $_{\text {isothermal }}<$ (slope) $_{\text {adiabatic }}$ $\Rightarrow $ (Area) $_{\text {isobaric }}>$ (Area) $_{\text {isothermal }}>$ (Area) $_{\text {adiabatic }}$
Hence, work done is maximum in isobaric process.
