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NEET Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Self Evaluation Test - Chemical Kinetics

  • question_answer
    The rate coefficient (K) for a particular reactions is \[1.3\times {{10}^{-4}}{{M}^{-1}}{{s}^{-1}}\] at\[100{}^\circ C\], and \[1.3\times {{10}^{-3}}{{M}^{-1}}{{s}^{-1}}\] at\[150{}^\circ C\]. What is the energy of activation \[\left( {{E}_{a}} \right)\] (in kJ) for this reaction? (R = molar gas constant\[=8.314\text{ }J{{K}^{-1}}mo{{l}^{-1}}\]) 

    A) 16                    

    B) 60  

    C) 99                                

    D) 132

    Correct Answer: B

    Solution :

    [b] According to Arrhenius equation \[\log \frac{{{k}_{2}}}{{{k}_{1}}}=\frac{{{E}_{a}}}{2.303R}\left( \frac{1}{{{T}_{1}}}-\frac{1}{{{T}_{2}}} \right)\] \[\log \frac{1.3\times {{10}^{-3}}}{1.3\times {{10}^{-4}}}=\frac{{{E}_{a}}}{2.303\times 8.314}\left[ \frac{1}{373}-\frac{1}{423} \right]\] \[I=\frac{{{E}_{a}}}{2.303\times 8.314}\left[ \frac{1}{373}-\frac{1}{423} \right]\] \[{{E}_{a}}=60kJ/mol\]


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