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Problem 127

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?

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