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W = F D

W = ( F / A ) ( A D )

W = P ( AD )

W = P (V)

Work = area under the curve on a P-V diagram.

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Q: How is it possible to say that area under the curve on pv diagram gives magnitude of the work doen on a gas?
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How it is possible to say that area under the curve on pv diagram gives magnitude of work done on a gas?

The following is just an informal discussion, to show why it is reasonable. Work = force x distance. Now, it requires a force to compress a gas. For simplicity, assume a piston of constant diameter. At higher pressures, the force required is greater. And a greater change in volume implies a larger distance.


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Related questions

How it is possible to say that area under the curve on pv diagram gives magnitude of work done on a gas?

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