To determine the unit of the rate constant for a zero-order reaction, we need to understand the rate law expression for zero-order reactions.
In general, the rate of a reaction can be represented as:
\text{Rate} = k [A]^n
where:
For a zero-order reaction (n = 0), the rate equation simplifies to:
\text{Rate} = k \times [A]^0 = k
This indicates that the rate of the reaction is independent of the concentration of the reactant.
The units of the rate are typically expressed as concentration/time, which for a zero-order reaction would be:
Thus, the units of the rate constant k for a zero-order reaction are the same as the units of the rate, which is mol \, L^{-1} \, s^{-1}.
Therefore, the correct answer is:
mol \, L^{-1} \, s^{-1}
This unit matches the option mol \, L^{-1} s^{-1} given in the question, confirming its correctness.