Final answer:
The actual cost of a bottle of wine for Danglars isn't specified in the given references. The chemistry question can be answered by calculating the moles of ethanol in a 750-mL bottle of wine, which is approximately 1.54 moles based on the given percentage of ethanol, its density, and molar mass.
Step-by-step explanation:
The student asked about the cost of a bottle of wine for Danglars, which is not provided directly in the question's reference material. However, the question 'How many moles of ethanol are present in a 750-mL bottle of wine?' is a chemistry-related question that can be answered. To find out the moles of ethanol in the wine, we first need to calculate the volume of ethanol in the wine bottle. Since the wine is approximately 12% ethanol by volume, we can multiply the total volume of the wine (750 mL) by 12% (or 0.12) to find the volume of ethanol:
Volume of ethanol in wine = 750 mL × 0.12 = 90 mL
Now, we use the density of ethanol to find the mass of ethanol:
Density of ethanol = 0.789 g/mL
Mass of ethanol = Volume of ethanol × Density of ethanol
Mass of ethanol = 90 mL × 0.789 g/mL = 71.01 g
Finally, we calculate the moles of ethanol using its molar mass:
Molar mass of ethanol = 46.06 g/mol
Moles of ethanol = Mass of ethanol / Molar mass of ethanol
Moles of ethanol = 71.01 g / 46.06 g/mol ≈ 1.54 moles
Therefore, in a 750-mL bottle of wine, there are approximately 1.54 moles of ethanol.