Question

Ethanol has a density of 0.79g/ml. What is the volume in quarts, of 1.50kg of alcohol?

Answer 1

The volume would be `"2.01 qt"`.

Explanation:

Convert kg to g. (1 kg = 1000 g)

`1.50 cancel"kg"xx(1000 "g")/(1 cancel"kg")="1500 g"`

Density Equation

`"density"="mass"/"volume"`

Solve for volume.

`"volume"="mass"/"density"`

`"volume"=(1500 cancel"g")/(0.79 cancel"g"/"mL")="1899 mL"`

Convert milliliters to quarts. (1 mL = 0.00105669 qt)
https://www.google.com/search?q=1899+mL+to+qt&oq=1899+mL+to+qt&aqs=chrome..69i57j69i64.8912j0j7&sourceid=chrome&ie=UTF-8#q=ml+to+quarts

`1899 cancel"mL"xx("0.00105669 qt")/(1 cancel"mL")="2.01 qt"` (rounded to three significant figures)