Answer :
Final answer:
To determine the number of moles of ethanol in a 750-mL bottle of wine, you can use the given information to calculate the volume, mass, and moles of ethanol in the wine.
Explanation:
To determine the number of moles of ethanol in a 750-mL bottle of wine, we need to use the given information. Wine is approximately 12% ethanol by volume. This means that in 1 mL of wine, 0.12 mL is ethanol. Using the density of ethanol, we can convert this volume to mass. Since the molar mass of ethanol is 46.06 g/mol, we can then convert the mass to moles.
First, calculate the volume of ethanol in the bottle:
0.12 mL ethanol/mL wine × 750 mL wine = 90 mL ethanol
Next, convert the volume of ethanol to mass:
90 mL ethanol × 0.789 g/mL = 71.01 g ethanol
Finally, convert the mass of ethanol to moles:
71.01 g ethanol ÷ 46.06 g/mol = 1.54 moles ethanol
