Question
Obtain a temperature condition for equilibrium.

Answer

For a system at equilibrium, free energy change $\Delta G$ is,
$\Delta G=\Delta H-T \Delta S$
where $\Delta H$ is enthalpy change, $\Delta S$ is entropy change at temperature, $T$. Since $\Delta G=0$ at equilibrium,
$\begin{aligned}
& O =\Delta H - T \Delta S \\
& \therefore T \Delta S =\Delta H \\
& ORT =\frac{\Delta H}{\Delta S}
\end{aligned}$
Hence at temperature T, changeover between forward spontaneous step and backward nonspontaneous step occurs and the system attains an equilibrium.
Here $\Delta H$ and $\Delta S$ are assumed to be independent of temperature.

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