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AMU Medical AMU Solved Paper-2013

  • question_answer
    The rate of the reaction is given by rate,\[r=k\,{{[{{H}^{+}}]}^{n}}\] If the rate becomes 100 times when the pH changes from 2 to 1 the order of the reaction is

    A)  0                            

    B)  1      

    C)  2                            

    D)  3

    Correct Answer: C

    Solution :

                    \[r=k{{[{{H}^{+}}]}^{n}}\] Exp.(l)\[{{r}_{1}}=k\,\,{{[{{10}^{-2}}]}^{n}}\] (If \[pH=2\] then\[[{{H}^{+}}]={{10}^{-2}}\]) Exp. (II) \[100{{r}_{1}}=k\,\,{{[{{10}^{-1}}]}^{n}}\](If \[pH=1\] then \[[{{H}^{+}}]={{10}^{-1}}\]) \[\frac{Exp.(II)}{Exp.(II)}=\frac{100{{r}_{1}}}{{{r}_{1}}}=\frac{k{{[0.1]}^{n}}}{k{{[0.01]}^{n}}}=\frac{100}{1}={{\left[ \frac{10}{1} \right]}^{n}}\]or\[n=2\]Order of reaction is 2.


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