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The entropy change involved in the isoth...

The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of `10 dm^(3)` to volume of `100 dm^(3)` at `27^(@)C` is :

A

`32.3 J mol^(-1) K^(-1)`

B

`42.3 J mol^(-1) K^(-1)`

C

`38.3 J mol^(-1) K^(-1)`

D

`35.8 J mol^(-1) K^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta S = 2.303 n R "log" (V_(2))/(V_(1))`
`= 2.303 xx 2 xx 8.314 "log" (100)/(10)`
`= 2.303 xx 2 xx 8.314 "log" (100)/(10)`
`= 2.303 xx 2 xx 8.314 xx 1`
`= 38.3 J mol^(-1) K^(-1)`
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