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NEET NEET SOLVED PAPER 2016 Phase-I

  • question_answer
    The rat e of a first -order react ion is \[\text{0}\text{.04}\,\text{mol}\,{{\ell }^{-1}}{{s}^{-1}}\]at 10 seconds and \[0.03\,\text{mol }{{\ell }^{-1}}{{s}^{-1}}\]at 20 seconds after initiation of the reaction. The half-life period of the reaction is:                                                         

    A)  24.1 s                   

    B)  34.1 s

    C)   44.1 s                  

    D)   54.1 s

    Correct Answer: A

    Solution :

    \[K=\frac{2.303}{({{t}_{2}}-{{t}_{1}})}\log \left( \frac{a-{{x}_{1}}}{a-{{x}_{2}}} \right)\] \[K=\frac{2.303}{(20-10)}\log \left( \frac{0.04}{0.03} \right)\] \[K=\frac{2.303\times 0.1249}{10}\] \[\frac{2.303\times \log 2}{{{t}_{1/2}}}=\frac{2.303\times .1249}{10}\] \[{{t}_{1/2}}=\frac{0.3010\times 10}{0.1249}=24.1\,\sec \]


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