Calculate $∆{\mathrm{G}}^0$ for conversion of oxygen to ozone  $3/2 {\mathrm{O}}_2\left(\mathrm{g}\right) \to {\mathrm{O}}_3\left(\mathrm{g}\right)$ at 298 K, if ${\mathrm{K}}_{\mathrm{P}}$ for this conversion is $2.47 \times {10}^{-29}$ 

As we know that, $∆{\mathrm{G}}^0 = -2.303 \mathrm{RT} \log {\mathrm{K}}_{\mathrm{P}}$

Therefore, $∆{\mathrm{G}}^0 = -2.303 \times \left(4.314\right) \times \left(298\right)$$\left(\log 2.47 \times {10}^{-29}\right)$

$∆{\mathrm{G}}^0=16,3000 \mathrm{J} {\mathrm{mol}}^{-1} = 163 \mathrm{kJ} {\mathrm{mol}}^{-1}$