Determine the empirical and molecular formulas of each of the following
substances:
(a) Ibuprofen, a headache remedy, contains \(75.69 \% \mathrm{C}\), \(8.80 \%
\mathrm{H}\), and \(15.51 \% \mathrm{O}\) by mass, and has a molar mass of \(206
\mathrm{~g} / \mathrm{mol}\).
(b) Cadaverine, a foul-smelling substance produced by the action of bacteria
on meat, contains \(58.55 \% \mathrm{C}\), \(13.81 \% \mathrm{H}\), and \(27.40 \%
\mathrm{~N}\) by mass; its molar mass is \(102.2 \mathrm{~g} / \mathrm{mol}\)
(c) Epinephrine (adrenaline), a hormone secreted into the bloodstream in times
of danger or stress, contains \(59.0 \%\) \(\mathrm{C}, 7.1 \% \mathrm{H}, 26.2
\% \mathrm{O}\), and \(7.7 \% \mathrm{~N}\) by mass; its \(\mathrm{MW}\) is about
180 amu.