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JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Rate law and Rate Constant

  • question_answer
    The order of the reaction occurring by following mechanism should be                                  [JIPMER 1997]                 (i)            \[{{A}_{2}}\to A+A\] (fast)                 (ii)           \[A+{{B}_{2}}\to AB+B\] (slow)                 (iii)          \[A+B\to \] (fast)

    A)                 \[1\,\frac{1}{2}\]             

    B)                 \[3\frac{1}{2}\]

    C)                 2             

    D)                 None of these

    Correct Answer: A

    Solution :

               The rate will be given by slowest step. Thus \[r=K[A][{{B}_{2}}]\].\[{{K}_{c}}=\frac{[A][A]}{[{{A}_{2}}]}\,\,\]or \[[A]={{[{{K}_{c}}]}^{1/2}}{{[{{A}_{2}}]}^{1/2}}\]                                 \[r=K\times {{[{{K}_{c}}]}^{1/2}}{{[{{A}_{2}}]}^{1/2}}[{{B}_{2}}]=K{{[{{A}_{2}}]}^{1/2}}[B]\]. Thus order is \[0.5+1=1.5\]


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