Final answer:
The question asks for a unit factor based on the density of alcohol, which is not provided, but an example of a unit factor would be 0.813 g/mL. This can be used to convert between the volume of alcohol and its mass in calculations.
Step-by-step explanation:
If the density of alcohol is 0.813 g/mL, a unit factor could be a way to convert between mass and volume using this density. However, the question does not provide options for what the unit factor might be, so it is hard to determine if any of the provided choices (if there were any) would be a correct unit factor. Regardless, an example of a unit factor based on the provided density would be 0.813 g/mL, which can be used in calculations to convert from a volume of alcohol to its mass or vice versa. For instance, if you wanted to know the mass of a certain volume of alcohol, you would multiply the volume by the density (in g/mL).
Let's consider a hypothetical example: If you wanted to calculate the mass of 50 mL of alcohol with a density of 0.813 g/mL, you would use the following calculation:
Mass = Volume × Density = 50 mL × 0.813 g/mL = 40.65 g
This demonstrates how the density of a substance enables you to establish the mass based on its volume and vice versa.