JCECE Medical JCECE Medical Solved Paper-2009

  • question_answer
    The concentration of a reactant X decreases from 0.1 M to 0.005 M in 40 min. If the reaction follows first order kinetics, the rate of the reaction when the concentration of X is 0.01 M will be

    A)  \[1.73\,\times {{10}^{-4}}\,M{{\min }^{-1}}\]

    B)  \[3.47\times {{10}^{-4}}M\,{{\min }^{-1}}\]

    C)  \[3.47\times {{10}^{-5}}M\,{{\min }^{-1}}\]

    D)  \[7.5\times {{10}^{-4}}M\,{{\min }^{-1}}\]

    Correct Answer: D

    Solution :

     \[k=\frac{2.303}{t}\log \frac{{{A}_{0}}}{A}\] \[\frac{2.303}{40}\log \frac{0.1}{0.005}\] \[=\frac{2.303}{40}\log =20=0.075\] Rate of reaction when concentration of X is 0.01 M will be \[=0.075\times 0.01=7.5\times {{10}^{-4}}M\,{{\min }^{-1}}\]


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