MGIMS WARDHA MGIMS WARDHA Solved Paper-2003

  • question_answer
    For a reaction,\[A+B\xrightarrow{{}}\]product, it was found that rate of reaction increases four times if concentration of 'A' is doubled, but the rate of reaction remains unaffected if concentration of 'B' is doubled. Hence, the rate law for reaction is:

    A)  \[rate=k[A][B]\]

    B)  \[rate=k{{[A]}^{2}}\]

    C)  \[rate=k{{[A]}^{2}}{{[B]}^{1}}\]

    D)  \[rate=k{{[A]}^{2}}{{[B]}^{2}}\]  

    Correct Answer: B

    Solution :

                     Let the rate of reaction depends on\[x\]th power of [A]. Then, \[{{r}_{1}}=k{{[A]}^{x}}\] and        \[{{r}_{2}}=k{{[2A]}^{x}}\] \[\therefore \]  \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{{{[A]}^{x}}}{{{[2A]}^{x}}}=\frac{1}{4}={{\left( \frac{1}{2} \right)}^{2}}\]                \[(\because {{r}_{2}}=4{{r}_{1}})\] \[\therefore \]  \[x=2\] As the reaction rate does not depend upon the concentration of B. Hence, the correct rate-law will be rate \[k={{[A]}^{2}}{{[B]}^{0}}\]\[or=k{{[A]}^{2}}\]


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