Calcium hypochlorite $\left[\mathrm{Ca}(\mathrm{OCl})_2\right]$ is used as a disinfectant for swimming pools. When dissolved in water it produces hypochlorous acid:
$$
\begin{aligned}
& \mathrm{Ca}(\mathrm{OCl})_2(s)+2 \mathrm{H}_2 \mathrm{O}(l)= \\
& 2 \mathrm{HClO}(a q)+\mathrm{Ca}(\mathrm{OH})_2(s)
\end{aligned}
$$
which ionizes as follows:
$$
\mathrm{HClO}(a q) \rightleftharpoons \mathrm{H}^{+}(a q)+\mathrm{ClO}^{-}(a q) K_{\mathrm{a}}=3.0 \times 10^{-8}
$$
As strong oxidizing agents, both HClO and $\mathrm{ClO}^{-}$can kill bacteria by destroying their cellular components. However, too high a HClO concentration is irritating to the eyes of swimmers and too high a concentration of $\mathrm{ClO}^{-}$will cause the ions to decompose in sunlight. The recommended pH for pool water is 7.8 . Calculate the percent of these species present at this pH .