Question

Calculate $\Delta G^{\circ}$ for conversion of oxygen to ozone, $\frac{3}{2} O _{2}( g ) \longrightarrow O _{3}(g)$ at $298\, K$, if $K_{p}$ for this conversion is $ 2.47\times 10^{-29}$ .

• A. $163\,kJ\,mol^{-1}$
• B. $2.4\times 10^{2}\,kJ\,mol^{-1}$
• C. $1.63\,kJ\,mol^{-1}$
• D. $2.38\times 10^{6}\,kJ\,mol^{-1}$

Answer 1

Answer: (A)

$\Delta G^{\circ} =-2.303 R T \log K_{p}$
$\Delta G^{\circ} =-2.303 \times(8.314) \times(298)$
$\left(\log 2.47 \times 10^{-29}\right)$
$\Delta G^{\circ} =163000\, J\, mol ^{-1}$
$=163\, kJ\, mol ^{-1}$