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Q. The temperature at which the reaction

$Ag_{2}O\left(s\right) \rightarrow 2Ag\left(s\right)+\frac{1}{2}O_{2}\left(\right.g\left.\right)$ at 1 atmospheric pressure will be in equilibrium at ___K. The value of $\Delta H$ and $\Delta S$ for the reaction are 30.58 kJ and $66.11 \, JK^{- 1}$ respectively and these value do not change much with temperature.

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

$Ag_{2}O\left(s\right) \rightarrow 2Ag\left(s\right)+\frac{1}{2}O_{2}\left(\right.g\left.\right)$

The reaction will be in equilibrium at temperature $T=\frac{\Delta H}{\Delta S}=\frac{30.58 \times 10^{3}}{66.11}=462.6 \, K$