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How will you calculate work done on an i...

How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps?

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When the compression is carried out in an infinite number of steps with change in pressure, it is a reversible expansion. The work done can be calculatd from P-V plot as shown in figure, below. Shadedarea under the curve represents the work done on the gas.
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