Lysine, an essential amino acid in the human body, contains \(\mathrm{C},
\mathrm{H}, \mathrm{O},\) and \(\mathrm{N} .\) In one experiment, the complete
combustion of \(2.175 \mathrm{~g}\) of lysine gave \(3.94 \mathrm{~g}\)
\(\mathrm{CO}_{2}\) and \(1.89 \mathrm{~g} \mathrm{H}_{2} \mathrm{O} .\) In a
separate experiment, \(1.873 \mathrm{~g}\) of lysine gave \(0.436 \mathrm{~g}
\mathrm{NH}_{3}\).
(a) Calculate the empirical formula of lysine.
(b) The approximate molar mass of lysine is \(150 \mathrm{~g}\). What is the
molecular formula of the compound?