For a first-order reaction, the rate constant \( k \) is related to the half-life \( t_{1/2} \) using the equation:
\[
k = \frac{0.693}{t_{1/2}}.
\]
Substitute the given value of \( t_{1/2} = 480 \, \text{s} \):
\[
k = \frac{0.693}{480}.
\]
Simplifying:
\[
k = 1.44 \times 10^{-3} \, \text{s}^{-1}.
\]
This value represents the rate constant for the reaction, which depends solely on the half-life for first-order processes.
Final Answer:
\[
\boxed{1.44 \times 10^{-3} \, \text{s}^{-1}}.
\]