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AIIMS AIIMS Solved Paper-2010

  • question_answer
    For a first-order reaction \[A\to B\] the plot of \[\log \{{{[A]}_{t}}/1M\}\] versus t is linear with a

    A) positive slope and zero intercept

    B) positive slope and non zero intercept

    C) negative slope and zero intercept

    D) negative slope and non zero intercept

    Correct Answer: D

    Solution :

    For a first-order reaction, the rate expression is \[\log \left\{ {{[A]}_{t}}M \right\}-\log \left\{ {{[A]}_{0}}M \right\}=-\left\{ kt/2.303 \right\}.\] Thus, the plot of \[\log \left\{ {{[A]}_{t}}/M \right\}\]versus t is linear with a negative slope \[\left( -\frac{k}{2.303} \right)\] and non zero intercept.


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