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.