For a zero-order reaction, the rate law is given by \( \text{Rate} = k \), where \( k \) is the rate constant. Since the rate of reaction is independent of the concentration of reactants in zero-order reactions, the unit of the rate constant is \( \text{mol L}^{-1} \text{s}^{-1} \).
Step 2: Conclusion.
The correct unit for the rate constant in a zero-order reaction is \( \text{mol L}^{-1} \text{s}^{-1} \), corresponding to option (a).