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In an isothermal reversible expansion, i...

In an isothermal reversible expansion, if the volume of 96 gm of oxygen at `27^(@)C` is increased from 70 litres to 140 litres , then the work done by the gas will be

A

300 R `log_(10)` 2

B

81 R`log_e` 2

C

900 R `log_(10)` 2

D

`2.3 xx 900 R log_(10)` 2

Text Solution

Verified by Experts

The correct Answer is:
D
Work done (W) = n R T In`((V_f)/(V_i)`
`=(m/M)RT In ((V_f)/(V_i))`
`=2.3 xx m/M R T log_(10)((V_f)/(V_i))`
`implies W=2.3xx(96)/(32)xxR(273+27)log_(10)((140)/(70))`
`implies W=900R xx 2.3xxlog_(10)2`
`implies W=2.3xx900R log_(10)2`
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