CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    Find the two third life\[({{t}_{2/3}})\]of a first order reaction in which\[k=5.48\times {{10}^{-14}}\]per second:

    A) \[201\times {{10}^{13}}s\]

    B)        \[2.01\times {{10}^{13}}s\]

    C) \[201\times {{10}^{20}}s\]   

    D)        \[0.201\times {{10}^{10}}s\]

    E) none of these

    Correct Answer: B

    Solution :

    Let initial concentration\[=a\] Final concentration\[=a-\frac{2}{3}a=\frac{a}{3}\]                 \[{{t}_{2/3}}=\frac{2.303}{k}\log \frac{a}{a/3}\]                 \[=\frac{2.303}{5.48\times {{10}^{-14}}}\log 3\]                 \[=2.01\times {{10}^{13}}s\]


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