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The rate constants \( k_{1} \) and \( k_{2} \) for two different reactions are \( 10^{16} \cdot e^{-2000 / T} \) and \( 10^{15} \cdot e^{-1000 / T} \), respectively. The
\( \mathrm{P} \) temperature at which \( k_{1}=k_{2} \) is

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(a) \( 2000 \mathrm{~K} \)
(b) \( \frac{1000}{2.303} \mathrm{~K} \)
(c) \( 1000 \mathrm{~K} \)
(d) \( \frac{2000}{2.303} \mathrm{~K} \)
(2008)
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