Laws passed in some states define a drunk driver as one who drives with a
blood alcohol level of \(0.10 \%\) by mass or higher. The level of alcohol can
be determined by titrating blood plasma with potassium dichromate according to
the unbalanced equation
$$
\mathrm{H}^{+}(a q)+\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}(a q)+\mathrm{C}_{2}
\mathrm{H}_{5} \mathrm{OH}(a q) \longrightarrow \mathrm{Cr}^{3+}(a
q)+\mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}
$$
Assuming that the only substance that reacts with dichromate in blood plasma
is alcohol, is a person legally drunk if \(38.94 \mathrm{~mL}\) of \(0.0723
\mathrm{M}\) potassium dichromate is required to titrate a \(50.0\) -g sample of
blood plasma?