AMU Medical AMU Solved Paper-2008

  • question_answer
    A hypothetical reaction \[{{A}_{2}}+{{B}_{2}}\to 2AB\]follows the mechanism as given below,\[{{A}_{2}}\]A + A (fast) \[A+{{B}_{2}}\xrightarrow{{}}AB+B\] (slow) A + B \[\xrightarrow{{}}\] AB (fast) The order of the overall reaction is

    A)  2                                            

    B)  1

    C)  \[1\frac{1}{2}\]                               

    D)  0

    Correct Answer: C

    Solution :

                     From slow step, rate     \[=k\,[{{B}_{2}}]\,[A]\] From 1st equation           \[=\frac{{{[A]}^{2}}}{[{{A}_{2}}]}\] or            \[[A]=\sqrt{{{K}_{eq}}[{{A}_{2}}]}\]                 \[=K_{eq}^{1/2}A_{2}^{1/2}[{{B}_{2}}]\]. Hence, rate \[=k\,[{{B}_{2}}]\,K_{eq}^{1/2}{{[{{A}_{2}}]}^{1/2}}\]                 \[=k\,{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]\]. Hence, order \[=1\frac{1}{2}\]


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