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BHU PMT BHU PMT (Mains) Solved Paper-2009

  • question_answer
    The process of conversion of ozone into oxygen\[(2{{O}_{3}}\xrightarrow[{}]{{}}3{{O}_{2}})\]involves following steps \[{{O}_{3}}{{O}_{2}}+O\] \[O+{{O}_{3}}\xrightarrow[{}]{Slow}2{{O}_{2}}\] The rate law expression for this process is

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

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

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

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

    Correct Answer: B

    Solution :

                     \[{{O}_{3}}{{O}_{2}}+O\] \[O+{{O}_{3}}\xrightarrow[{}]{Slow}2{{O}_{2}}\] From equation (i) \[{{K}_{c}}=\frac{[{{O}_{2}}][O]}{[{{O}_{3}}]}\] Or           \[[O]=\frac{{{K}_{c}}[{{O}_{3}}]}{[{{O}_{2}}]}\] \[Rate=k[{{O}_{3}}][O]\] \[=k[{{O}_{3}}].\frac{{{K}_{c}}[{{O}_{3}}]}{[{{O}_{2}}]}\] \[=k'{{[{{O}_{3}}]}^{2}}{{[{{O}_{2}}]}^{-1}}\]                       


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