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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        The   rate of a first order reaction is\[1.5\times {{10}^{-2}}\] \[mol\text{ }{{L}^{-1}}mi{{n}^{-1}}\]at 0.5 M concentration of the reactant. The half-life of the reaction is

    A)  7.53 min             

    B)  0.383 min

    C)  23.1 min             

    D)  8.73 min 

    Correct Answer: C

    Solution :

                    For a first order reaction, \[Rate=k.(cone.)\] \[k=\frac{rate}{conc.}=\frac{1.5\times {{10}^{-2}}}{0.5}=3\times {{10}^{-2}}{{\min }^{-1}}\] \[{{t}_{1/2}}=\frac{0.693}{k}=\frac{0.693}{3\times {{10}^{-2}}}\min \] \[=23.1\text{ }min\]


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