Step 1: Understanding the Concept
For order \(n\), the unit of \(k\) is \((\text{mol L}^{-1})^{1-n}\,\text{time}^{-1}\).
Step 2: Substitution
The given unit is only \(\text{hour}^{-1}\), with no concentration term.
Step 3: Conclusion
So \(1 - n = 0\), which means \(n = 1\). The reaction is of first order.
Final Answer:
The reaction is of first order.
\[ \boxed{\text{(B) }1} \]