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Relation between P, V, T, Gamma in Adiabatic Proceses

A given mass ...

Question

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

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Solution

The correct option is A $w_{1} < w_{2} < w_{3}$
The curves in graph shows work done.
$W = - P Δ V$
$w_{1} < w_{2} < w_{3}$

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