Question

Is it true that a 12-ounce beer, a 5-ounce glass of wine, and a shot and a half of whiskey all have the same alcohol content?

Answer 1

To find the number of moles of ethanol in a 750-mL bottle of wine, first calculate the volume of ethanol, then its mass, and finally divide by the molar mass resulting in approximately 1.54 moles of ethanol.

Step-by-step explanation:

To calculate the number of moles of ethanol in a 750-mL bottle of wine, we use the given 12% volume of ethanol and its density of 0.789 g/mL. First, calculate the volume of ethanol:

• Volume of ethanol in wine = 12% of 750 mL = 0.12 × 750 mL = 90 mL

Then, convert this volume to mass using density:

• Mass of ethanol = Volume × Density = 90 mL × 0.789 g/mL = 71.01 g

Finally, to find the moles of ethanol, divide the mass by the molar mass:

• Moles of ethanol = Mass / Molar mass = 71.01 g / 46.06 g/mol
• Moles of ethanol ≈ 1.54 mol

Therefore, approximately 1.54 moles of ethanol are present in a 750-mL bottle of wine.