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BHU PMT BHU PMT (Screening) Solved Paper-2005

  • question_answer
    The half-life of a first order reaction having rate constant\[k=1.7\times {{10}^{-5}}{{s}^{-1}}\]is:

    A)  12.1 h                                  

    B)  9.7 h

    C)  11.3 h                                  

    D)  1.8 h

    Correct Answer: C

    Solution :

                     Key Idea: The half-life period and rate constant of reaction are related as follows \[{{t}_{1/2}}=\frac{0.693}{k}\] Given,\[k=1.7\times {{10}^{-5}}{{s}^{-1}}\] \[\therefore \]  \[{{t}_{1/2}}=\frac{0.693}{1.7\times {{10}^{-5}}}\]                 \[=0.41\times {{10}^{5}}s\]                 \[=\frac{0.41\times {{10}^{5}}}{60\times 60}h\] \[=11.3h\]


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