Concept:
The unit of rate constant \(k\) for an \(n^{th}\) order reaction is given by
\[
k = (mol/L)^{1-n} \cdot s^{-1}
\]
Step 1: Compare given unit with general formula.
Given:
\[
k = L \cdot mol^{-1} \cdot s^{-1} = (mol/L)^{-1} \cdot s^{-1}
\]
Step 2: Equate powers.
\[
1 - n = -1
\]
\[
n = 2
\]
\[
\boxed{\text{Second Order}}
\]