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First Law of Thermodynamics

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Question

Starting with the same initial conditions if an ideal gas expands from volume $V_{1} t o V_{2}$ in three different ways. The work done by the gas is $W_{1}$ in the process is purely isothermal, $W_{2}$ is purely isobaric and $W_{3}$ is purely adiabatic, then

W_{2} > W_{1} > W_{3}

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W_{2} > W_{3} > W_{1}

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W_{1} > W_{2} > W_{3}

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W_{1} > W_{3} > W_{2}

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Solution

The correct option is A $W_{2} > W_{1} > W_{3}$
Area under PV graph = work done
Here are $A_{2}$ > Area $A_{1}$ > Area $A_{3}$

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