JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Sample Paper Topic Test - Chemical Kinetics

  • question_answer
    \[6{{I}^{-}}(aq)+Br{{O}_{3}}^{-}(aq)+6{{H}^{+}}(aq)\xrightarrow{{}}3{{I}_{2}}(aq)+\] \[B{{r}^{-}}(aq)+3{{H}_{2}}O(\ell )\] these data were obtained when this reaction was studies.
    \[[{{I}^{-}}],M\] \[[Br{{O}_{3}}^{-}],M\] \[[{{H}^{+}}],M\] Reaction rate \[(mol\,{{L}^{-1}}{{s}^{-1}})\]
    0.0010 0.0020 0.010 \[8.0\times {{10}^{-5}}\]
    0.0020 0.0020 0.010 \[1.6\times {{10}^{-4}}\]
    0.0020 0.0040 0.010 \[1.6\times {{10}^{-4}}\]
    0.0010 0.0040 0.020 \[1.6\times {{10}^{-4}}\]
    What is the units of the rate constant for this reaction?

    A) \[{{s}^{-1}}\]                         

    B) \[mol\,\,{{L}^{-1}}{{s}^{-1}}\]

    C) \[L\,\,mo{{l}^{-1}}{{s}^{-1}}\]

    D) \[{{L}^{2}}\,\,mo{{l}^{-2}}{{s}^{-1}}\]

    Correct Answer: C

    Solution :

               
    \[R=K{{[{{I}^{-}}]}^{a}}{{[BrO_{3}^{-}]}^{b}}{{[{{H}^{+}}]}^{c}}\]
    \[8\times {{10}^{-5}}=K{{(0.001)}^{a}}{{(0.002)}^{b}}{{(0.01)}^{c}}\]                  .....(i)
    \[1.6\times {{10}^{-4}}=K{{(0.002)}^{a}}{{(0.002)}^{b}}{{(0.01)}^{c}}\]               .....(ii)
    \[1.6\times {{10}^{-4}}=K{{(0.002)}^{a}}{{(0.004)}^{b}}{{(0.01)}^{c}}\]   .....(iii)
    \[1.6\times {{10}^{-4}}=K{{(0.001)}^{a}}{{(0.004)}^{b}}{{(0.02)}^{c}}\]   ....(iv)
    (ii)-(i)                 \[2=2a\Rightarrow a=1\]
    (iii)-(ii)               \[1=2b\Rightarrow b=0\]
    (iv)-(i)                \[2=2c\Rightarrow c=1\]
    \[R=K[{{I}^{-}}][{{H}^{+}}]\] unit of K  \[mo{{l}^{-1}}\] litre \[{{\sec }^{-1}}\].


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