Answer
Please see the work below.
Work Step by Step
We know that
$K=\frac{Rate}{CH_4CO}$
We plug in the known values to obtain:
$K=\frac{5.57\times 10^{-7}\frac{M}{s}}{2.72\times 10^{-3}M}=2.047\times 10^{-4}s^{-1}$
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