JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Critical Thinking Chemical Kinetics

  • question_answer
    The rate law for a reaction between the substances A and B is given by, rate \[=k{{[A]}^{n}}{{[B]}^{m}}\]. On doubling the concentration of A and halving the concentration of B, the ratio of the new rate to the earlier rate of the reaction will be as                              [AIEEE 2003]

    A)                 \[\frac{1}{{{2}^{(m+n)}}}\]         

    B)                 \[(m+n)\]

    C)                 \[(n-m)\]            

    D)                 \[{{2}^{(n-m)}}\]

    Correct Answer: D

    Solution :

               \[R=K{{(A)}^{n}}{{(B)}^{m}}\]                    \[R'=K{{(2A)}^{n}}{{\left( \frac{B}{2} \right)}^{m}}\]\[=K{{(A)}^{n}}{{2}^{n}}{{(B)}^{m}}{{2}^{-m}}\]                                 \[=K{{(A)}^{n}}{{(B)}^{m}}{{2}^{n-m}}\],\[\frac{R'}{R}=\frac{K{{(A)}^{n}}{{(B)}^{m}}{{2}^{n-m}}}{K{{(A)}^{n}}{{(B)}^{m}}}={{2}^{n-m}}\]


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