JEE Main & Advanced JEE Main Paper (Held On 15 April 2018) Slot-II

  • question_answer
    For a first order reaction,\[A\to P,{{t}_{1/2}}\], (half-life) is 10 days. The time required for \[\frac{{{1}^{th}}}{4}\] conversion of A(in days) is: (ln \[2=0.693\], ln\[3=1.1\] ).               [JEE Online 15-04-2018 (II)]

    A)                     \[3.2\]                                  

    B) \[2.5\]  

    C) \[4.1\]                  

    D)          \[5\]

    Correct Answer: C

    Solution :

    The half life\[{{t}_{1/2}}=10\] days The decay constant\[k=\frac{0.693}{{{l}_{1/2}}}=\frac{0.693}{10days}=0.0693da{{y}^{-1}}\] The time required for one fourth conversion \[t=\frac{2.303}{k}{{\log }_{10}}\frac{a}{a-x}\] \[t=\frac{2.303}{0.0693da{{y}^{-1}}}{{\log }_{10}}\frac{1}{1-(1/4)}\] \[t=4.1days\]


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