Which order of kinetics is followed by the reaction between...

The reaction between tert-butyl bromide (a tertiary alkyl halide) and hydroxide ion to form tert-butyl alcohol proceeds via the $S_{N}1$ mechanism.

In the $S_{N}1$ mechanism, the reaction occurs in two steps. The first step is the slow, rate-determining step, which involves the ionization of the alkyl halide to form a carbocation.

Rate = $k[\text{tert-butyl bromide}]$

Since the rate of the reaction depends only on the concentration of tert-butyl bromide and is independent of the concentration of the hydroxide ion, it follows first-order kinetics.

Answer: First-order kinetics.