JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Topic Test - Chemical Equilibrium (6-5-21)

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

    Correct Answer: A

    Solution :

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

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