NEET Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Self Evaluation Test - Chemical Kinetics

  • question_answer
    The differential rate law for the reaction \[{{H}_{2}}(g)+{{I}_{2}}(g)\to 2HI(g)\] is

    A) \[-\frac{d[{{H}_{2}}]}{dt}=-\frac{d[{{I}_{2}}]}{dt}=-\frac{d[HI]}{dt}\]

    B) \[\frac{d[{{H}_{2}}]}{dt}=\frac{d[{{I}_{2}}]}{dt}=\frac{1}{2}\frac{d[HI]}{dt}\]

    C) \[\frac{1}{2}\frac{d[{{H}_{2}}]}{dt}=\frac{1}{2}\frac{d[{{I}_{2}}]}{dt}=-\frac{d[HI]}{dt}\]

    D) \[-2\frac{d[{{H}_{2}}]}{dt}=-2\frac{d[{{I}_{2}}]}{dt}=\frac{d[HI]}{dt}\]

    Correct Answer: D

    Solution :

    [d] rate of appearance of \[HI=\frac{1}{2}\frac{d[HI]}{dt}\] rate of disappearance of \[{{H}_{2}}=\frac{-d[{{H}_{2}}]}{dt}\] rate of disappearance of \[{{I}_{2}}=\frac{-d[{{I}_{2}}]}{dt}\] hence \[\frac{-d[{{H}_{2}}]}{dt}=-\frac{d[{{I}_{2}}]}{dt}=\frac{1}{2}\frac{d[HI]}{dt}\] or \[-\frac{2d[{{H}_{2}}]}{dt}=-\frac{2d[{{I}_{2}}]}{dt}=\frac{d[HI]}{dt}\]


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