three moles of an ideal gas at 27°c is compressed reversibly and isothermally from a volume of 10dm³ to 5dm³ calculate the work done on the gas
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Explanation:
The reversible work done by an ideal gas can be calculated using:
W=∫V2V1PdV
Using ideal gas equation PV=nRT , we have
W=∫V2V1nRTVdV
=nRTln(V2V1)
The temperature should be specified in order to calculate the given expression, the final result would be
W=3×8.314×T×ln(12)=−17.3T
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