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Manipal Medical Manipal Medical Solved Paper-2012

  • question_answer
    The rate constant for the first order reaction is\[60\text{ }{{s}^{-1}}\]. How much time will it take to reduce the concentration of the reactant to\[\frac{1}{16}\]th value?

    A)  \[4.6\times {{10}^{-2}}s\]

    B)  \[4.6\times {{10}^{4}}s\]

    C)  \[4.6\times {{10}^{2}}s\]

    D)  \[4.6\times {{10}^{-4}}s\]

    Correct Answer: A

    Solution :

     \[t=\frac{2.303}{k}\log \frac{{{[A]}_{0}}}{[A]}\] If \[{{[A]}_{0}}=1\]then \[[A]=\frac{1}{16}\] \[t=\frac{2.303}{60}\log 16\] \[=4.6\times {{10}^{-2}}s\]


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