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

Options

A. `35.8 J mol^(-1) K^(-1)`
B. `32.3 J mol^(-1) K^(-1)`
C. `42.3 J mol^(-1) K^(-1)`
D. `38.3 J mol^(-1) K^(-1)`

Answer

D

Explanation

For an ideal gas, for iosthermal reversible process,
`Delta S =2.303 nR log ((V_(2))/(V_(1)))`
`=2.303 xx2xx8.314 xx log ((100)/(10))`
`=38.3 J mol^(-1)K^(-1)`