JEE Main & Advanced Chemistry Equilibrium Question Bank Activation energy, Standard free energy and Degree of dissociation and Vapour density

  • 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)                                                               \[2.38\times {{10}^{6}}\ kJ\ mo{{l}^{-1}}\]

    Correct Answer: A

    Solution :

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

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