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NEET Sample Paper NEET Sample Test Paper-85

  • question_answer
    The rate constant k, for the reaction \[{{N}_{2}}{{O}_{5}}(g)\xrightarrow{{}}2N{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\] is\[1.3\times {{10}^{-2}}{{s}^{-1}}.\] Which equation given below describes the change of\[[{{N}_{2}}{{O}_{5}}]\]with time? \[{{[{{N}_{2}}{{O}_{5}}]}_{0}}\]and\[{{[{{N}_{2}}{{O}_{5}}]}_{t}}\]correspond to concentration \[{{N}_{2}}{{O}_{5}}\]of  initially and at time t.

    A) \[[{{N}_{2}}{{O}_{5}}]t={{[{{N}_{2}}{{O}_{5}}]}_{0}}+kt\]

    B) \[{{[{{N}_{2}}{{O}_{5}}]}_{0}}={{[{{N}_{2}}{{O}_{5}}]}_{t}}{{e}^{kt}}\]

    C) \[log{{[{{N}_{2}}{{O}_{5}}]}_{t}}=\log {{[{{N}_{2}}{{O}_{5}}]}_{0}}+kt\]

    D) In \[\frac{{{[{{N}_{2}}{{P}_{5}}]}_{0}}}{{{[{{N}_{2}}{{P}_{5}}]}_{t}}}=kt\]

    Correct Answer: D

    Solution :

    [d] As the unit of rate constant is \[{{\sec }^{-1}},\] so the reaction is first order reaction. Hence \[k=\frac{1}{t}\,\,ln\frac{a}{(a-x)}\]or \[kt=ln\frac{{{[{{N}_{2}}{{O}_{5}}]}_{0}}}{{{[{{N}_{2}}{{O}_{5}}]}_{t}}}\]


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