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About 1.5 ounces of liquor = a 12 ounce bottle of beer = 5 ounce glass of wine (each contains about the same amount of alcohol.)

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Final answer:

To determine the number of moles of ethanol in a 750-mL bottle of wine with 12% ethanol by volume, we can use the formula moles = (volume in mL) x (density in g/mL) / (molar mass in g/mol).

Step-by-step explanation:

Based on the given information, a 750-mL bottle of wine contains approximately 12% ethanol by volume. To determine the number of moles of ethanol in the bottle, we can use the formula:

moles = (volume in mL) x (density in g/mL) / (molar mass in g/mol)

Using the given density of ethanol (0.789 g/mL) and its molar mass (46.06 g/mol), we can calculate:

moles = (750 mL) x (0.789 g/mL) / (46.06 g/mol) = 12.84 moles

Therefore, there are approximately 12.84 moles of ethanol in a 750-mL bottle of wine with 12% ethanol by volume.

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