JEE Advanced 2020 Physics question

PhysicsThermodynamicsJEE Advanced 2020

Consider one mole of helium gas enclosed in a container at initial pressure and volume . It expands isothermally to volume . After this, the gas expands adiabatically and its volume becomes . The work done by the gas during isothermal and adiabatic expansion processes are and , respectively. If the ratio , then is .

Answer: 1.78

Solution

Isothermal step: . After it, , , so . Adiabatic step for helium (): $ = = ( =

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Question ID VK-033747