• # 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                                                                              $2.47\times {{10}^{-29}}$                 [DPMT 2004] A)                                                                                 $163\ kJ\ mo{{l}^{-1}}$ B)                                                                $2.4\times {{10}^{2}}\ kJ\ mo{{l}^{-1}}$ C)                                                                                $1.63\ kJ\ mo{{l}^{-1}}$                                                                               D)                                                               $2.38\times {{10}^{6}}\ kJ\ mo{{l}^{-1}}$

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}}$