Step 1: Understanding the Concept
For an \(n\)th order reaction the unit of \(k\) is \((\text{mol L}^{-1})^{1-n}\ \text{time}^{-1}\).
Step 2: Compare units
Zero order has \(\text{mol L}^{-1}\text{ time}^{-1}\).
First order has \(\text{time}^{-1}\).
Second order has \(\text{L mol}^{-1}\text{ time}^{-1}\).
Step 3: Match
The given unit is \(\text{hour}^{-1}\), which is first order, option (C).
Final Answer:
The reaction is of first order.
\[ \boxed{\text{(C) }1} \]