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CMC Medical CMC-Medical Ludhiana Solved Paper-2009

  • question_answer
    The rate constant of a first order reaction at\[27{}^\circ C\] is \[{{10}^{-3}}{{\min }^{-1}}\].  The temperature coefficient of this reaction is 2. What is the rate constant (in\[{{\min }^{-1}}\]) at\[17{}^\circ C\]for this reaction?

    A)  \[{{10}^{-3}}\]                                 

    B)  \[5\times {{10}^{-4}}\]

    C)  \[2\times {{10}^{-3}}\]                 

    D)  \[{{10}^{-2}}\]

    Correct Answer: B

    Solution :

                    Temperature coefficient =\[\frac{{{k}_{t}}+10}{{{k}_{t}}}\] \[2=\frac{{{10}^{-3}}}{{{k}_{t}}}\] \[{{k}_{t}}=\frac{{{10}^{-3}}}{2}=\frac{10\times {{10}^{-4}}}{2}=5\times {{10}^{-4}}\]


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