Question

A sample of an ethanol-water solution has a volume of $54.2 \mathrm{~cm}^{3}$ and a mass of $49.6 \mathrm{~g} .$ What is the percentage of ethanol (by mass) in the solution? (Assume that there is no change in volume when the pure compounds are mixed.) The density of ethanol is $0.789 \mathrm{~g} / \mathrm{cm}^{3}$ and that of water is $0.998$ $\mathrm{g} / \mathrm{cm}^{3}$. Alcoholic beverages are rated in proof, which is a measure of the relative amount of ethanol in the beverage. Pure ethanol is exactly 200 proof; a solution that is $50 \%$ ethanol by volume is exactly 100 proof. What is the proof of the given ethanol-water solution?

          A sample of an ethanol-water solution has a volume of $54.2 \mathrm{~cm}^{3}$ and a mass of $49.6 \mathrm{~g} .$ What is the percentage of ethanol (by mass) in the solution? (Assume that there is no change in volume when the pure compounds are mixed.) The density of ethanol is $0.789 \mathrm{~g} / \mathrm{cm}^{3}$ and that of water is $0.998$ $\mathrm{g} / \mathrm{cm}^{3}$. Alcoholic beverages are rated in proof, which is a measure of the relative amount of ethanol in the beverage. Pure ethanol is exactly 200 proof; a solution that is $50 \%$ ethanol by volume is exactly 100 proof. What is the proof of the given ethanol-water solution?

Added by Melanie J.

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