JIPMER Jipmer Medical Solved Paper-2007

  • question_answer
    For a first order reaction \[A\xrightarrow{{}}B,\]the reaction rate at reactant concentration of 0.01 M is found to be\[2.0\times {{10}^{-5}}mol\,{{L}^{-1}}{{s}^{-1}}.\] The half-life period of the reaction is

    A)  220 s      

    B)                         30 s

    C)  300 s                    

    D)                                         347 s

    Correct Answer: D

    Solution :

    For first order reaction \[A\xrightarrow{{}}B\] Given that rate\[=k\times [A]\] Rate \[=2.0\times {{10}^{-5}}\,mol\,{{L}^{-1}}{{s}^{-1}}\] [A] = Cone. of A = 0.01 M So,          \[2.0\times {{10}^{-5}}=k\times 0.01\] \[k=\frac{2.0\times {{10}^{-5}}}{0.01}{{s}^{-1}}\]    \[=2.0\times {{10}^{-3}}{{s}^{-1}}\] For first order reaction \[{{T}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{2.0\times {{10}^{-3}}}\]       \[=346.5\approx 347\,s\]


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