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Q.

In an isothermal reversible expansion if the volume of 96gm oxygen at 270C is  increases from 70 liters to 140 liters, then the work done by the gas will be

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a

300Rlog102

b

81Rloge2

c

900Rlog102

d

2.3×900Rlog10⁡2

answer is D.

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Detailed Solution

W=μRTloge⁡V2V1=mMRTloge⁡V2V1=2.3×mMRTlog10⁡V2V12.3×9632R(273+27)log10⁡14070=2.3×900Rlog10⁡2
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In an isothermal reversible expansion if the volume of 96gm oxygen at 270C is  increases from 70 liters to 140 liters, then the work done by the gas will be