One of the best-selling light, or low-calorie, beers is 4.2\(\%\) alcohol by
volume and a 12 -oz serving contains 110 Calories; remember: 1 Calorie \(=1000\)
cal \(=1\) kcal. To estimate the percentage of Calories that comes from the
alcohol, consider the following questions. (a) Write a balanced chemical
equation for the reaction of ethanol, \(\mathrm{C}_{2} \mathrm{H}_{5}
\mathrm{OH}\) , with oxygen to make carbon dioxide and water. (b) Use
enthalpies of formation in Appendix \(\mathrm{C}\) to determine \(\Delta H\) for
this reaction. \((\mathbf{c})\) If 4.2\(\%\) of the total volume is ethanol and
the density of ethanol is \(0.789 \mathrm{g} / \mathrm{mL},\) what mass of
ethanol does a 12 - oz serving of light beer contain? (\boldsymbol{d} ) How
many Calories are released by the metabolism of ethanol, the reaction from
part (a)? (e) What percentage of the 110 Calories comes from the ethanol?