Nitrite ion reacts with ozone in aqueous solution, producing nitrate ion and
oxygen:
$$
\mathrm{NO}_{2}^{-}(a q)+\mathrm{O}_{3}(g) \rightarrow \mathrm{NO}_{3}^{-}(a
q)+\mathrm{O}_{2}(g)
$$
The following data were collected for this reaction at \(298 \mathrm{K}\)
Calculate the average reaction rate between 0.0 and \(100.0 \mu \mathrm{s}\)
(microseconds) and between 200.0 and \(300.0 \mu \mathrm{s}\)
$$\begin{array}{cc}
\text { Time }(\mu \mathrm{s}) & {\left[\mathrm{O}_{3}\right](\mathrm{M})} \\
0.0 & 1.13 \times 10^{-2} \\
\hline 100.0 & 9.93 \times 10^{-3} \\
\hline 200.0 & 8.70 \times 10^{-3} \\
\hline 300.0 & 8.15 \times 10^{-3} \\
\hline
\end{array}$$