JEE Main & Advanced JEE Main Paper (Held On 26 May 2012)

  • question_answer
    The activation energy for a reaction which doubles the rate when the temperature is raised from 298 K to 308 K is.   JEE Main Online Paper (Held On 26-May-2012)  

    A) \[52.2\,kJ\,mo{{l}^{-1}}\]                            

    B)                        \[39.2\,kJ\,mo{{l}^{-1}}\]

    C)                        \[52.9\,kJ\,mo{{l}^{-1}}\]                            

    D)                        \[29.5\,kJ\,mo{{l}^{-1}}\]

    Correct Answer: A

    Solution :

                    Activation energy can be calculated from the equation. \[\frac{\log {{K}_{2}}}{\log {{K}_{1}}}=\frac{{{E}_{a}}}{2.303R}\left( \frac{1}{{{T}_{2}}}-\frac{1}{{{T}_{1}}} \right)\] Given\[\frac{\log {{K}_{2}}}{\log {{K}_{1}}}=2{{T}_{2}}=308;{{T}_{1}}=208\] \[\therefore \]\[\log 2=\frac{-{{E}_{a}}}{2.303\times 8.314}\left( \frac{1}{308}-\frac{1}{208} \right)\] \[{{E}_{a}}=52.9kJ\,mo{{l}^{-1}}\]


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