Step 1: For a reaction of order \( n \), the unit of the rate constant \( k \) is:
\[ \text{Unit of } k = [\text{concentration}]^{1-n} [\text{time}]^{-1} \] Step 2: For a zero order reaction (\( n = 0 \)):
\[ \text{Unit of } k = [\text{concentration}]^{1} [\text{time}]^{-1} \] Step 3: In SI units, concentration is expressed as \( mol\, L^{-1} \).
So,
\[ \text{Unit of } k = mol\, L^{-1} s^{-1} \]