The first order rate constant for the decomposition of ethyl iodide by the reaction. math xmlns=...

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The first order rate constant for the decomposition of ethyl iodide by the reaction. math xmlns=http://www.w3.org/1998/Math/MathMLmsubmi mathvariant=normalC/mimn2/mn/msubmsubmi mathvariant=normalH/mimn5/mn/msubmi mathvariant=normalI/mimo(/momi mathvariant=normalg/mimo)/momo→/momsubmi mathvariant=normalC/mimn2/mn/msubmsubmi mathvariant=normalH/mimn4/mn/msubmo(/momo /momi mathvariant=normalg/mimo)/momo+/momiHI/mimo(/momi mathvariant=normalg/mimo)/mo/math at \( 600 \mathrm{~K} \) is \( 1.60 \times 10^{-5} \mathrm{~s}^{-1} \). Its energy of activation is \( 209 \mathrm{~kJ} / \mathrm{mol} \). Calculate the rate constant of the reaction at \( 700 \mathrm{~K} \).
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