MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    The chemical reaction\[2{{O}_{3}}\xrightarrow{{}}3{{O}_{2}}\]proceeds as (i)\[{{O}_{3}}{{O}_{2}}+O\] (fast) (ii)\[O+{{O}_{3}}\xrightarrow{{}}2{{O}_{2}}\](slow) The rate expression should be

    A)  \[r=k{{[{{O}_{3}}]}^{2}}\]                           

    B)  \[r=k{{[{{O}_{3}}]}^{2}}{{[{{O}_{2}}]}^{-1}}\]

    C)  \[r=k[{{O}_{3}}][{{O}_{2}}]\]     

    D)  None of these

    Correct Answer: B

    Solution :

                     \[{{K}_{eq}}=\frac{[O][{{O}_{2}}]}{[{{O}_{3}}]}\]                              (form (i) Eq.) \[[O]=\frac{{{K}_{eq}}[{{O}_{3}}]}{[{{O}_{2}}]}\] Rate law, \[r=k[{{O}_{3}}][O]\]        (from (ii) Eq.) \[r=\frac{k[{{O}_{3}}][{{O}_{3}}]}{[{{O}_{2}}]}{{K}_{eq}}\] \[r=k'{{[{{o}_{3}}]}^{2}}{{[{{O}_{2}}]}^{-1}}\]       \[[\because k.{{K}_{eq}}=k']\]


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