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BHU PMT BHU PMT (Screening) Solved Paper-2009

  • question_answer
    For the chemical reaction\[A\xrightarrow[{}]{{}}E,\], it is found that the rate of the reaction doubles when the concentration of A is increased four times. The order in terms of A for this reaction is

    A)  two                                      

    B)  one

    C)  zero                                     

    D)  half

    Correct Answer: D

    Solution :

                     \[A\xrightarrow{{}}E\] \[\frac{dx}{dt}=k{{[A]}^{n}}\] \[\frac{d{{x}^{1}}}{dt}=k{{[4A]}^{n}}\]                 \[=2\left( \frac{dx}{dt} \right)\] \[\frac{d{{x}^{1}}/dt}{dx/dt}={{\left( \frac{4}{1} \right)}^{n}}\] \[2={{\left( \frac{4}{1} \right)}^{n}}\] \[\therefore \]  \[n=\frac{1}{2}\]


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