Laundry bleach is a solution of sodium hypochlorite (NaClO). To determine the
hypochlorite (ClO \(^{-}\) ) content of bleach (which is responsible for its
bleaching action), sulfide ion is added in basic solution. The balanced
equation for the reaction is
$$
\mathrm{ClO}^{-}(a q)+\mathrm{S}^{2-}(a q)+\mathrm{H}_{2} \mathrm{O}
\longrightarrow \mathrm{Cl}^{-}(a q)+\mathrm{S}(s)+2 \mathrm{OH}^{-}(a q)
$$
The chloride ion resulting from the reduction of HClO is precipitated as
\(\mathrm{AgCl}\). When \(50.0 \mathrm{~mL}\) of laundry bleach \(\left(d=1.02
\mathrm{~g} / \mathrm{cm}^{3}\right)\) is treated as described above, \(4.95
\mathrm{~g}\) of \(\mathrm{AgCl}\) is obtained. What is the mass percent of
\(\mathrm{NaClO}\) in the bleach?