Calculating the Alcoholic Equivalent of a 5-ounce Glass of Wine (12%)

Explanation:

The student is inquiring about the amount of ethanol in a 5-ounce glass of wine with a 12% alcohol concentration by volume. To answer this, we need to calculate the volume of ethanol and then determine the number of moles contained in that volume. First, calculate the ethanol volume in a 5-ounce glass by using the given percentage concentration:

5 ounces (approx. 148 mL) x 12% (0.12) = 17.76 mL of ethanol

Then, determine the mass of ethanol using the density provided:

17.76 mL x 0.789 g/mL (density of ethanol) = 14.01 grams of ethanol

Lastly, calculate the number of moles of ethanol using its molar mass:

14.01 g ÷ 46.06 g/mol (molar mass of ethanol) = 0.304 moles of ethanol

Therefore, a 5-ounce glass of 12% wine contains approximately 0.304 moles of ethanol.

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