Step 1: Rate constant units.
For a zero-order reaction, the rate law is \( \text{Rate} = k[A]^0 \), where the rate constant \( k \) has the unit of \( \text{mol L}^{-1} \text{s}^{-1} \).
Step 2: Conclusion.
Thus, the unit of the rate constant for a zero-order reaction is \( \text{mol L}^{-1} \text{s}^{-1} \).