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a
ΔGsystemΔStotal=-T
b
In isothermal process, Wreversible =−nRTlnVfVi
c
lnK=ΔH∘−TΔS∘RT
d
K=e−ΔGo/RT
answer is C.
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Detailed Solution
Applying gibbs energy, ΔG=ΔH−TΔSWhere, ΔG is the change in gibbs energyΔH is the change in enthalpyΔS is the change in entropyT is temperaturea) For a system, total entropy change =ΔStotal ΔHtotal =0∴ΔGsystem =−TΔStotal ∴ΔGsystem ΔStotal =−TThus (a) is correct b) For isothermal reversible process, ΔE=0By first law of thermodynamics, ΔE=q+W∴Wreversible =−q=−∫ViVf pdV⇒Wreversible =−nRTlnVfVi Thus, (b) is correct.c) ΔG∘=ΔH∘−TΔS∘Also, ΔG∘=−RTlnK⇒lnK=−ΔG∘RT⇒lnK=ΔH∘−TΔS∘RT[ from Equation (1)] Thus (c) is incorrect.d) The standard free energy ΔG∘ is released to equilibrium constant K as ΔG∘=−RTlnK∴lnK=ΔG∘RT⇒K=−e−ΔG∘RTThus, (d) is also correct.