JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Rate law and Rate Constant

  • question_answer
    A substance ?A? decomposes by a first order reaction starting initially with [A] =2.00m and after 200 min [A] = 0.15m. For this reaction what is the value of k   [AIIMS 2001]

    A)                 \[1.29\times {{10}^{-2}}{{\min }^{-1}}\]

    B)                 \[2.29\times {{10}^{-2}}{{\min }^{-1}}\]

    C)                 \[3.29\times {{10}^{-2}}{{\min }^{-1}}\]

    D)                 \[4.40\times {{10}^{-2}}{{\min }^{-1}}\]

    Correct Answer: A

    Solution :

               Given A  = 2.00 m, t = 200 min and  a(a-x) = 0.15 m  we know                    \[k=\frac{2.303}{t}\log \frac{a}{a-x}=\frac{2.303}{200}\log \frac{2.00}{0.15}\]                                 \[=\frac{2.303}{200}\times (0.301+0.824)=1.29\times {{10}^{-2}}{{\min }^{-1}}\]


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