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Punjab Medical Punjab - MET Solved Paper-2011

  • question_answer
    Calculate\[\Delta {{G}^{o}}\]for conversion of oxygen to ozone,\[\frac{3}{2}{{O}_{2}}(g)\xrightarrow{{}}{{O}_{3}}(g)\]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 :

    \[\Delta {{G}^{o}}=-2.303Rt\log {{K}_{p}}\] \[\Delta {{G}^{o}}=-2.303\times (8.314)\times (298)\]                                                 \[(\log 2.47\times {{10}^{-29}})\]                 \[\Delta {{G}^{o}}=163000\,\,J\,\,mo{{l}^{-1}}\]                         \[=163\,\,kJ\,\,mo{{l}^{-1}}\]


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