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Thermodynamics

Question
CBSEENCH11006025

For the same increase in volume, why work done is more if the gas is allowed to expand reversibly at higher temperature?

Solution
We know that for isothermal reversible expansion,
space straight w space equals space minus straight P subscript int space cross times space straight V
At higher temperature, internal pressure of the gas is more,
space increment straight U space equals space straight q space plus space straight w
As ∆U is a state function, hence q + w is a state function.