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CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    For a first order reaction, \[A\to B,\] the reaction rate at reactant concentration of 0.01 M is found to be\[2.0\times {{10}^{-15}}mol\,{{L}^{-1}}{{s}^{-1}}.\] 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] = concentration 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, \[{{T}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{2.0\times {{10}^{-3}}}\]                             \[=346.5=347\,s\]


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