JEE Main & Advanced Sample Paper JEE Main - Mock Test - 23

  • question_answer
    For a chemical reaction \[\operatorname{A}\to Products\], the rate of disappearance of A is given by \[\frac{-d{{C}_{A}}}{dt}=\frac{{{k}_{1}}{{C}_{A}}}{1+{{k}_{2}}{{C}_{A}}}\]  At very low\[{{C}_{A}}\], the reaction of the .......... order with rate constant........ (Assume \[{{k}_{1}},\,\,{{k}_{2}}\] are lesser than 1)

    A)  \[I,\,\,{{k}_{1}}/{{k}_{2}}\]    

    B)        \[I,\,\,{{k}_{1}}\]

    C) \[II,\,\,{{k}_{1}}/{{k}_{2}}\]    

    D)        \[II,\,\,{{k}_{1}}/({{k}_{1}}+{{k}_{2}})\]

    Correct Answer: B

    Solution :

    \[Rate=\frac{-d{{C}_{A}}}{dt}=\frac{{{k}_{1}}{{C}_{A}}}{1+{{k}_{2}}{{C}_{A}}}\] At very low \[{{C}_{A}},\,(1+{{k}_{2}}{{C}_{A}})\approx 1\] \[\therefore \,\, Rate={{k}_{1}}{{C}_{A}}\] \[\operatorname{Hence} order = I\] \[\operatorname{Rate}\,\,constant={{k}_{1}}\]

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