1. Obtain an expression for work done in an isothermal process.

Analytically, we can be calculated by integrating dW between the limits V1 to V2.

For a perfect gas, PV = RT or P = RT/V

Substituting P = RT/V in the above equation, we get,

As temperature is constant during isothermal expansion and R is a gas constant,

= RT (logeV2 -logeV1)

= RT loge (V2/V1)

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Arun (askIITians forum expert)