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P-T curve of a cyclic process is shown. ...

P-T curve of a cyclic process is shown. Find out the works done by the gas in the given proces if number of moles of the gas are n.

Text Solution

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Since path AB and CD are isochoric therefore work done during AB and CD is zero. Path BC and DA are isobaric.
Hence `W_(BC) = n R Delta T = nr (T_(3) - T_(2))`
`W_(DA) = nRT (T_(1) - T_(4))`
Total work done `= W_(BC) + W_(DA) = nR (T_(1) + T_(3) - T_(4) - T_(2))`
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