Question

The value of $\Delta H$ and $\Delta S$ for the reaction $A{g}_{2}O\left(s\right)\to 2Ag\left(s\right)+\frac{1}{2}{O}_2\left(g\right)$ are $30.58kJ$ and $66.11J{K}^{-1}$ respectively, and these values do not change much with temperature. The temperature at which the given reaction at $1$ atmospheric pressure will be in equilibrium is:

• A. 462.6 K
• B. 486.4 K
• C. 364.5 K
• D. 521.2 K

Answer 1

The correct option is A 462.6 K

$\Delta G=\Delta H-T\Delta S$
$\Delta G=30.58-T\left(66.11\right)\times {10}^{-3}$
$\Delta G=0$ (for process at equilibrium)
$\therefore 30.58=T\times 66.11\times {10}^{-3}$
$\therefore T=462.56K$ $\simeq 462.6K$

Option A is correct.