• # question_answer Calculate $\Delta G{}^\circ$for conversion of oxygen to ozone $3/2\ {{O}_{2}}(g)\to {{O}_{3}}(g)$at 298 K, if ${{K}_{p}}$for this conversion is $2.47\times {{10}^{-29}}$ A) $163\ kJ\ mo{{l}^{-1}}$          B) $2.4\times {{10}^{2}}\ kJ\ mo{{l}^{-1}}$ C) $1.63\ kJ\ mo{{l}^{-1}}$         D) $2.38\times {{10}^{6}}\ kJ\ mo{{l}^{-1}}$

 [a] As we know that, $\Delta {{G}^{o}}=-2.303RT\,\log \,{{K}_{p}}$ Therefore, $\Delta {{G}^{o}}=-2.303\times (8.314)\times (298)\,$ $(\log \,2.47\times {{10}^{-29}})$ $\Delta {{G}^{o}}=16,3000\,J\,mo{{l}^{-1}}$$=163\,KJ\,mo{{l}^{-1}}$