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KVPY Sample Paper KVPY Stream-SX Model Paper-8

  • question_answer
    For an elementary chemical reaction, \[{{A}_{2}}2A\] the expression for \[\frac{d[A]}{dt}\] is:

    A) \[{{k}_{1}}[{{A}_{2}}]-{{k}_{-1}}{{[A]}^{2}}\]

    B) \[2{{k}_{1}}[{{A}_{2}}]-{{k}_{-1}}{{[A]}^{2}}\]

    C) \[{{k}_{1}}[{{A}_{2}}]+{{k}_{-1}}{{[A]}^{2}}\]

    D) \[2{{k}_{1}}[{{A}_{2}}]-2{{k}_{-1}}{{[A]}^{2}}\]

    Correct Answer: D

    Solution :

    \[\frac{1}{2}\frac{d[A]}{dt}=-{{K}_{1}}{{[A]}_{2}}+{{K}_{-1}}{{[A]}^{2}}\] \[\frac{d[A]}{dt}=2{{K}_{1}}[{{A}_{2}}]-2{{K}_{-1}}{{[A]}^{2}}.\]


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