Use factor-label method to convert 85.0 ounces of an unknown liquid to in3
. The density of the liquid is 1.49
g/mL.
To convert from ounces (oz) to cubic inches (in³), we need to use the given density to convert from ounces to grams, and then from grams to cubic inches.
First, we'll convert 85.0 ounces to grams. We know that 1 ounce equals 28.3495 grams.
85.0 oz × 28.3495 g/1 oz = 2,408.0825 g
Now, we'll convert the grams to cubic inches. We're given that the density of the liquid is 1.49 g/mL. To convert from grams to cubic inches, we need to divide the mass in grams by the density in grams/milliliter, and then multiply by the conversion factor (1 mL ≈ 0.0610237 in³).
2,408.0825 g × 1 mL/1.49 g × 0.0610237 in³/1 mL = 98.98033978 in³
Therefore, 85.0 ounces of the unknown liquid is equivalent to 98.98033978 in³ using the factor-label method.