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An elementary reaction, $2 A + C \rightarrow D$ , is second order in $A$ and first order in $C$. The rate of this reaction is $2.5 \times 10 ^{-1}1\; M/s$ when the concentrations of $A$ and $C$ are all $3.00\; mM$. What is the rate constant for the reaction?

$\begin{array}{1 1} 0.0926 \times 10^8 \; M^{-2}s^{-1} \\ 2.5 \times 10^8 \; M^{-2}s^{-1} \\ 0.2779 \times 10^8 \; M^{-2}s^{-1} \\ 0.8333 \times 10^8 \; M^{-2}s^{-1}\end{array}$

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