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Work Done in Isothermal Reversible Process

A given mass ...

Question

A given mass of gas expands from state A to state B by three paths 1, 2 and 3 as shown in the figure below, If $w_{1}, w_{2}$ and $w_{3}$ respectively, be the work done by the gas along three paths, then

A

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

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B

w_{1} < w_{2} < w_{3}

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C

w_{1} = w_{2} = w_{3}

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D

w_{1} < w_{2}; w_{1} < w_{3}

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Solution

The correct option is B $w_{1} < w_{2} < w_{3}$
Work done is obtained from the area under the curve in the PV diagram. Hence, it can be inferred
$w_{3} > w_{2} > w_{1}$

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