Sulfuric acid has a specific gravity of 1.84 at a certain temperature. If the density of water at the same temperature is 62.4 pounds per cubic foot, how many cubic feet of the acid will have a mass of 44.5 kg? (1.0 kg = 2.20 pounds)Hint: Remember that when converting derived units, you must convert each of the component fundamental units individually.

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Quizplus · Accepted Answer

First, convert the mass of the acid from kg to pounds: 44.5 kg * 2.20 pounds/kg = 97.9 pounds. The density of sulfuric acid is 1.84 times the density of water, so its density is 1.84 * 62.4 pounds/ft³ = 114.816 pounds/ft³. The volume is mass/density = 97.9 pounds / 114.816 pounds/ft³ = 0.853 ft³.

Sulfuric Acid Has a Specific Gravity of 1