Step 1: Use the Arrhenius equation.
The rate constant depends on temperature as \( k = A e^{-\frac{E_a}{RT}} \).
Step 2: Calculate the rate constant at 300 K.
Using the Arrhenius equation, the rate constant at 300 K is \( 6.4 \times 10^{-3} \).
Final Answer:
\[
\boxed{6.4 \times 10^{-3}}
\]