Step 1: Identify the type of alkyl halide.
1-bromohexane is a primary alkyl halide:
\[
CH_3(CH_2)_5Br
\]
Primary alkyl halides generally undergo nucleophilic substitution through:
\[
S_N2
\]
mechanism.
Step 2: Understand the \(S_N2\) mechanism.
In the \(S_N2\) reaction, both:
alkyl halide
and
\[
OH^-
\]
participate in the rate determining step.
Hence, the rate law is:
\[
\text{Rate}=k[1\text{-bromohexane}][OH^-]
\]
Step 3: Determine overall order.
The reaction is first order with respect to:
\[
1\text{-bromohexane}
\]
and first order with respect to:
\[
OH^-
\]
Therefore, total order is:
\[
1+1=2
\]
Step 4: Final conclusion.
Hence, the reaction follows
\[
\boxed{\text{second order kinetics}}
\]