Step 1: For a zero-order reaction, the rate equation is:
\[
\text{Rate} = k [A]^0
\]
Step 2: The unit of velocity (rate of reaction) is:
\[
\text{mol L}^{-1} \text{s}^{-1}
\]
Step 3: The unit of rate constant for a zero-order reaction is:
\[
\text{mol L}^{-1} \text{s}^{-1}
\]