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Work Done in Reversible Adiabatic Process

If W1 , W2 ...

Question

If $W_{1}, W_{2}, W_{3}$ and $W_{4}$ for an ideal gas are magnitude of work done in isothermal, adiabatic, isobaric and isochoric reversible expansion processes, the correct order will be :

A

w_{1} > w_{2} > w_{3} > w_{4}

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B

w_{3} > w_{2} > w_{1} > w_{4}

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C

w_{3} > w_{2} > w_{4} > w_{1}

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D

w_{3} > w_{1} > w_{2} > w_{4}

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Solution

The correct option is D $w_{3} > w_{1} > w_{2} > w_{4}$
As, it is clear from the below derivation that workdone in Isobaric process (w3) will be greater than workdone in isothermal (w1) hence correct option is D.

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