MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • 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 \[0.075\times 0.01=7.5\times {{10}^{-4}}M\text{ }{{\min }^{-1}}\]


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