Which of the following figure represent the variation of $(S_{M}^{o} - S_{M})$ (in $J / K - mol) v / sP$ (in bar) at constant. temperature (in $J / K - mol$ )
$S_{M}$ = molar entropy of an ideal gas
$S_{M}^{\circ}$ = molar entropy of an ideal gas at 1 bar pressure and the specified temperature (standard state)

Question

Which of the following figure represent the variation of $(S_{M}^{o} - S_{M})$ (in $J / K - mol) v / sP$ (in bar) at constant. temperature (in $J / K - mol$ )

$S_{M}$ = molar entropy of an ideal gas

$S_{M}^{\circ}$ = molar entropy of an ideal gas at 1 bar pressure and the specified temperature (standard state)

TestHub · Accepted Answer

For an ideal gas at constant temperature, the variation of molar entropy with pressure is given by $S_{M} - S_{M}^{\circ} = - R ln (P)$ .

Rearranging this formula gives the straight-line equation: $(S_{M}^{\circ} - S_{M}) = R ln (P)$ .

A plot of $(S_{M}^{\circ} - S_{M})$ versus $ln (P)$ yields a straight line passing through the origin with a positive slope ( $R$ ), which matches Graph (B).

A plot of $(S_{M}^{\circ} - S_{M})$ versus $P$ yields a logarithmic growth curve, which matches Graph (C).

Chemistry - Thermodynamics - II Question with Solution | TestHub

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JEE Advanced 2027 (Class 12)