Consider the following reaction:
$$
\mathrm{CH}_{3} \mathrm{Br}(a q)+\mathrm{OH}^{-}(a q) \longrightarrow
\mathrm{CH}_{3} \mathrm{OH}(a q)+\mathrm{Br}^{-}(a q)
$$
The rate law for this reaction is first order in \(\mathrm{CH}_{3} \mathrm{Br}\)
and first order in \(\mathrm{OH}^{-}\). When \(\left[\mathrm{CH}_{3}
\mathrm{Br}\right]\) is \(5.0 \times 10^{-3} \mathrm{M}\) and
\(\left[\mathrm{OH}^{-}\right]\) is
\(0.050 \mathrm{M},\) the reaction rate at \(298 \mathrm{~K}\) is \(0.0432
\mathrm{M} / \mathrm{s}\). (a) What is
the value of the rate constant? (b) What are the units of the rate constant?
(c) What would happen to the rate if the concentration of \(\mathrm{OH}^{-}\)
were tripled? (d) What would happen to the rate if the concentration of both
reactants were tripled?