Step 1: Understand the units of the rate constant.
The rate constant \( K \) has different units depending on the order of the reaction.
For a reaction of order \( n \), the units of \( K \) are:
Zero order: \( \text{mol} \cdot \text{L}^{-1} \cdot \text{s}^{-1} \)
First order: \( \text{s}^{-1} \)
Second order: \( \text{L} \cdot \text{mol}^{-1} \cdot \text{s}^{-1} \)
Step 2: Identify the order of the reaction.
The rate constant has the units of \( \text{s}^{-1} \), which corresponds to a first-order reaction.