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Q.

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

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a

1672.5 J

b

1728 J

c

−1728 J

d

−1572.5 J

answer is D.

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Detailed Solution

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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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