Step 1: Analyze the reaction.
The rate law for a reaction A + B $\rightarrow$ Products is typically in the form:
Rate = k [A]^m [B]^n, where \( k \) is the rate constant, and \( m \) and \( n \) are the reaction orders with respect to reactants A and B. The unit of the rate constant \( k \) depends on the order of the reaction.
Step 2: Applying the units.
For a reaction with the overall order of 2, the unit of \( k \) will be mol L$^{-1}$ s$^{-1}$. This corresponds to option (C).
Step 3: Conclusion.
Thus, the overall order of the reaction is 2. The correct answer is (C) 2.