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Work Done in Isothermal Reversible Process

A given mass ...

Question

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

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

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

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

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

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Solution

The correct option is B $w_{1} < w_{2} < w_{3}$
In The given graph, More the area below the path followed , More is the work done Therefore, In the P-V Graph The area under path 3 is more than 2 which is more than 1. Therefore Option B is correct W1 < W2 < W3.

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