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One mole of O2 gas having a volume equal to 22.4 litres at 0oC and 1 atmospheric pressure is compressed isothermally so that its volume reduces to 11.2 litres. The work done in this process is

a
1672.5 J
b
1728 J
c
−1728 J
d
−1572.5 J

detailed solution

Correct option is D

W=−μRTloge⁡V2V1=−1×8.31×(273+0)loge22.411.2=−8.31×273×loge⁡2=−1572.5J ∵loge⁡2=0.693

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