Leaded gasoline contains an additive to prevent engine "knocking." On
analysis, the additive compound is found to contain carbon, hydrogen, and lead
(Pb) (hence, "leaded gasoline"). When \(51.36 \mathrm{~g}\) of this compound is
burned in an apparatus such as that shown in Figure \(3.5,55.90 \mathrm{~g}\) of
\(\mathrm{CO}_{2}\) and \(28.61 \mathrm{~g}\) of \(\mathrm{H}_{2} \mathrm{O}\) are
produced. Determine the empirical formula of the gasoline additive. Because of
its detrimental effect on the environment, the original lead additive has been
replaced in recent years by methyl tert-butyl ether (a compound of
\(\mathrm{C}, \mathrm{H},\) and \(\mathrm{O}\) ) to enhance the performance of
gasoline. (As of \(1999,\) this compound is also being phased out because of its
contamination of drinking water.) When \(12.1 \mathrm{~g}\) of the compound is
burned in an apparatus like the one shown in Figure \(3.5,30.2 \mathrm{~g}\) of
\(\mathrm{CO}_{2}\) and \(14.8 \mathrm{~g}\) of \(\mathrm{H}_{2} \mathrm{O}\) are
formed. What is the empirical formula of this compound?