Benzenecarbaldehyde (benzaldehyde, \(\mathrm{C}_{6} \mathrm{H}_{5}
\mathrm{CHO}\) ) is oxidized to benzenecarboxylic acid (benzoic acid,
\(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H}\) ) by acid
permanganate. The rate of the oxidation is proportional to the concentrations
of \(\mathrm{H}^{\oplus}\), aldehyde, and \(\mathrm{MnO}_{4}^{-}\). The reaction
is much slower with \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CDO}\) than with
\(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CHO} .\) When the reaction is carried
wout in \(\mathrm{H}_{2} 18 \mathrm{O}\) with \(\mathrm{C}_{6} \mathrm{H}_{5}
\mathrm{CHO}\) and \(\mathrm{MnO}_{4}^{-}\), the product is \(\mathrm{C}_{6}
\mathrm{H}_{5} \mathrm{CO}_{2} \mathrm{H}\). With \(\mathrm{C}_{6}
\mathrm{H}_{5} \mathrm{CHO}, \mathrm{H}_{2} \mathrm{O}\), and \(\mathrm{Mn}^{18}
\mathrm{O}_{4}^{-}\), the \(\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{CO}_{2}
\mathrm{H}\) contains
\({ }^{18} \mathrm{O}\). Write a mechanism for the reaction that is consistent
with all the above facts. (Notice that the \(\mathrm{C}_{6} \mathrm{H}_{5}\)
group is not involved.) Give your reasoning.