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PV Work

P-T curve of ...

Question

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

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Solution

Since path AB and CD are isochoric therefore work done during AB and CD is zero. Path BC and DA are isobaric.
Hence $W_{B C} = n R Δ T = n R (T_{3} - T_{2})$
$W_{D A} = n R (T_{1} - T_{4})$ Total work done $= W_{B C} + W_{D A} = n R (T_{1} + T_{3} - T_{4} - T_{2})$

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