CET Karnataka Medical CET - Karnataka Medical Solved Paper-2014

  • question_answer
    A plot of \[\frac{1}{T}\]vs k for a reaction gives the slope\[-1\times {{10}^{4}}K\]. The energy of activation for the reaction is (Given: \[R=8.314\text{ }J\text{ }{{K}^{-1}}mo{{l}^{-1}}\])

    A)  \[8314\text{ }J\text{ }mo{{l}^{-1}}\]

    B)  \[1.202kJ\text{ }mo{{l}^{-1}}\]

    C)  \[12.02\text{ }J\text{ }mo{{l}^{-1}}\]

    D)  \[83.14\text{ }kJ\text{ }mo{{l}^{-1}}\]

    E)  None of the Above

    Correct Answer: E

    Solution :

     It should Be 1n  k  vs 1 /T Plot of in k vs 1/T gives Slope \[=-\frac{{{E}_{a}}}{R}\] \[\therefore \] \[-1\times {{10}^{4}}=-\frac{{{E}_{a}}}{8.314}\] \[{{E}_{a}}=8.314\times {{10}^{4}}J\,mo{{l}^{-1}}=83.14\times {{10}^{3}}J\,mo{{l}^{-1}}\]or \[{{E}_{a}}=83.14kJ\,mo{{l}^{-1}}\]


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