05. Gibbs Energy Change and Equilibrium
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Thermodynamics

273073 Which of the following relation is correct?

1 $\Delta \mathrm{H}=\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
2 $\Delta \mathrm{H}=-\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
3 $\Delta \mathrm{H}=\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
4 $\Delta \mathrm{H}=-\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
CG PET - 2004
Thermodynamics

273075 In an irreverible process taking place at constant $T$ and $p$ and in which only pressure-
volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria

1 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}<0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
2 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}>0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
3 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}=0$
4 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}>0$
AIEEE-2003
Thermodynamics

273078 The incorrect expression among the following is

1 $\frac{\Delta \mathrm{G}_{\text {system }}}{\Delta \mathrm{G}_{\text {total }}}=-\mathrm{T}$
2 In isothermal process,
$\mathrm{W}_{\text {reversible }}=-\mathrm{nRT} \operatorname{In} \frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}$
3 $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$
4 $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$
AIEEE-2012
Thermodynamics

273084 When compared to $\Delta G^{\circ}$ for the formation of $\mathrm{Al}_2 \mathrm{O}_3$, the $\Delta \mathrm{G}^0$ for the formation of $\mathrm{Cr}_2 \mathrm{O}_3$ is

1 Higher
2 Lower
3 Unpredicted
4 Same
Karnataka-CET, 2008
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Thermodynamics

273073 Which of the following relation is correct?

1 $\Delta \mathrm{H}=\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
2 $\Delta \mathrm{H}=-\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
3 $\Delta \mathrm{H}=\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
4 $\Delta \mathrm{H}=-\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
CG PET - 2004
Thermodynamics

273075 In an irreverible process taking place at constant $T$ and $p$ and in which only pressure-
volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria

1 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}<0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
2 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}>0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
3 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}=0$
4 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}>0$
AIEEE-2003
Thermodynamics

273078 The incorrect expression among the following is

1 $\frac{\Delta \mathrm{G}_{\text {system }}}{\Delta \mathrm{G}_{\text {total }}}=-\mathrm{T}$
2 In isothermal process,
$\mathrm{W}_{\text {reversible }}=-\mathrm{nRT} \operatorname{In} \frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}$
3 $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$
4 $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$
AIEEE-2012
Thermodynamics

273084 When compared to $\Delta G^{\circ}$ for the formation of $\mathrm{Al}_2 \mathrm{O}_3$, the $\Delta \mathrm{G}^0$ for the formation of $\mathrm{Cr}_2 \mathrm{O}_3$ is

1 Higher
2 Lower
3 Unpredicted
4 Same
Karnataka-CET, 2008
NEET DIGITAL LIBRARY
Thermodynamics

273073 Which of the following relation is correct?

1 $\Delta \mathrm{H}=\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
2 $\Delta \mathrm{H}=-\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
3 $\Delta \mathrm{H}=\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
4 $\Delta \mathrm{H}=-\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
CG PET - 2004
Thermodynamics

273075 In an irreverible process taking place at constant $T$ and $p$ and in which only pressure-
volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria

1 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}<0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
2 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}>0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
3 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}=0$
4 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}>0$
AIEEE-2003
Thermodynamics

273078 The incorrect expression among the following is

1 $\frac{\Delta \mathrm{G}_{\text {system }}}{\Delta \mathrm{G}_{\text {total }}}=-\mathrm{T}$
2 In isothermal process,
$\mathrm{W}_{\text {reversible }}=-\mathrm{nRT} \operatorname{In} \frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}$
3 $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$
4 $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$
AIEEE-2012
Thermodynamics

273084 When compared to $\Delta G^{\circ}$ for the formation of $\mathrm{Al}_2 \mathrm{O}_3$, the $\Delta \mathrm{G}^0$ for the formation of $\mathrm{Cr}_2 \mathrm{O}_3$ is

1 Higher
2 Lower
3 Unpredicted
4 Same
Karnataka-CET, 2008
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Thermodynamics

273073 Which of the following relation is correct?

1 $\Delta \mathrm{H}=\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
2 $\Delta \mathrm{H}=-\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
3 $\Delta \mathrm{H}=\Delta \mathrm{G}-\mathrm{T} \Delta \mathrm{S}$
4 $\Delta \mathrm{H}=-\Delta \mathrm{G}+\mathrm{T} \Delta \mathrm{S}$
CG PET - 2004
Thermodynamics

273075 In an irreverible process taking place at constant $T$ and $p$ and in which only pressure-
volume work is being done, the change in Gibbs free energy (dG) and change in entropy (dS), satisfy the criteria

1 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}<0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
2 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}>0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}<0$
3 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}=0$
4 $(\mathrm{dS})_{\mathrm{V}, \mathrm{E}}=0,(\mathrm{dG})_{\mathrm{T}, \mathrm{p}}>0$
AIEEE-2003
Thermodynamics

273078 The incorrect expression among the following is

1 $\frac{\Delta \mathrm{G}_{\text {system }}}{\Delta \mathrm{G}_{\text {total }}}=-\mathrm{T}$
2 In isothermal process,
$\mathrm{W}_{\text {reversible }}=-\mathrm{nRT} \operatorname{In} \frac{\mathrm{V}_{\mathrm{f}}}{\mathrm{V}_{\mathrm{i}}}$
3 $\ln \mathrm{K}=\frac{\Delta \mathrm{H}^{\circ}-\mathrm{T} \Delta \mathrm{S}^{\circ}}{\mathrm{RT}}$
4 $\mathrm{K}=\mathrm{e}^{-\Delta \mathrm{G}^{\circ} / \mathrm{RT}}$
AIEEE-2012
Thermodynamics

273084 When compared to $\Delta G^{\circ}$ for the formation of $\mathrm{Al}_2 \mathrm{O}_3$, the $\Delta \mathrm{G}^0$ for the formation of $\mathrm{Cr}_2 \mathrm{O}_3$ is

1 Higher
2 Lower
3 Unpredicted
4 Same
Karnataka-CET, 2008
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