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A given mass of gas expands from state A to state B by three paths \( 1,2 \) and \( 3 \) as shown in the figure

If \( \mathrm{w}_{1}, \mathrm{w}_{2} \) and \( \mathrm{w}_{3} \) respectively are be the works done by the gas along three paths, then
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If \( \mathrm{w}_{1}, \mathrm{w}_{2} \) and \( \mathrm{w}_{3} \) respectively are be the works done by the gas along three paths, then
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Verified Answer
The correct answer is:
\( \mathrm{w}_{1} < \mathrm{w}_{2} < \mathrm{w}_{3} \)
Work is equal to area under graph (when P is plotted along y-axis). As area under graph 3 is maximum and area under graph 1 is minimum, so is maximum and is minimum.
So

So

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