BHU PMT BHU PMT (Mains) Solved Paper-2007

  • question_answer
    For a zero order reaction, \[A\xrightarrow{{}}P,{{t}_{1/2}}\] is\[(k\]is rate constant)

    A)  \[\frac{{{[A]}_{0}}}{2k}\]                            

    B)  \[\frac{In\,2}{k}\]

    C)  \[\frac{1}{k{{[A]}_{0}}}\]                            

    D)  \[\frac{In\,2}{{{[A]}_{0}}k}\]

    Correct Answer: A

    Solution :

                     For zero order reaction, Rate constant \[k=\frac{{{[A]}_{0}}-{{[A]}_{t}}}{t}\] Here,\[{{A}_{0}}=\]initial concentration of reactant           \[{{A}_{t}}=\]concentration of reactant after t                      time. If half-life period is\[{{t}_{1/2}}.\]Initial amount\[({{A}_{0}})\] will become half.                 \[{{A}_{t}}=\frac{{{[A]}_{0}}}{2},\]                 \[k=\frac{{{[A]}_{0}}-\frac{1}{2}{{[A]}_{0}}}{{{t}_{1/2}}}\] \[\because \]     \[{{t}_{1/2}}=\frac{{{}_{0}}}{2k}\]


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