One mole of an ideal gas is expanded isothermally and reversibly … - Vidyadip

MCQ

One mole of an ideal gas is expanded isothermally and reversibly to half of its initial pressure. $\Delta S$ for the process in $J\, K^{- 1}\, mol^{- 1}$ is $[ln\, 2\, = 0.693$ and $R\, = 8.314,\, J/(mol\, K)]$

A
$6.76$
✓
$5.76$
C
$10.76$
D
$8.03$

✓

Answer

Correct option: B.

$5.76$

b
For isothermal process $(\Delta T=0)$

$\Delta S = R\,\ln \,\frac{{{P_1}}}{{{P_2}}} = 8.314\,ln\,2$

$ = 8.314 \times 0.693 = 5.76\,J{K^{ - 1}}\,mo{l^{ - 1}}$

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