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NEET Sample Paper NEET Sample Test Paper-25

  • question_answer
    The rate constants \[{{k}_{1}}\]and \[{{k}_{2}}\]for two different reactions are \[{{10}^{6}}\,{{e}^{-2000/T}}\] and \[{{10}^{15}}\,{{e}^{-1000}}\,T,\] respectively. The temperature at which \[{{k}_{1}}={{k}_{2}}\]is

    A)  \[\frac{2000}{2.303}K\]

    B)  2000 K

    C)  \[\frac{1000}{2.303}K\]

    D)  1000 K

    Correct Answer: C

    Solution :

     \[{{K}_{1}}={{10}^{16}}{{e}^{-2000/T}};{{K}_{2}}=1015\,{{e}^{-1000/T}}\] if \[{{K}_{1}}={{K}_{2}}\]then \[{{10}^{16}}{{e}^{-2000/T}}={{10}^{15}}{{e}^{-1000/T}}\] or \[log10-\frac{2000}{T}=-\frac{1000}{T}\]or \[T=\frac{1000}{2.303}K\]


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