Step 1: The rate law for a chemical reaction is given by \[ {rate} = k[A]^n \] where \(k\) is the rate constant, \([A]\) is the concentration of the reactant, and \(n\) is the order of the reaction.
For the rate and rate constant to have the same units, the order of the reaction must be zero.
This is because, in a zero-order reaction, the rate is constant and does not depend on the concentration of the reactant.
Therefore, the unit of the rate constant is equal to the unit of rate.