RAJASTHAN ­ PET Rajasthan PET Solved Paper-2011

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

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

    B)  \[201\times {{10}^{13}}s\]

    C)  \[201\times {{10}^{20}}s\]    

    D)  \[0.201\times {{10}^{10}}s\]

    Correct Answer: A

    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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