High School

The specific gravity of hydrochloric acid is 1.18, and the density of water at 25°C is 62.4 pounds per cubic foot.

What is the volume in cubic feet of hydrochloric acid when its mass is 57.8 pounds?

A. 0.785 ft³
B. 1.57 ft³
C. 0.0785 ft³
D. 1.27 ft³

Answer :

The volume of hydrochloric acid is approximately 0.785 cubic feet, which is closest to the option 1.27 ft³. The correct option is D.) 1.27 ft³.

The Specific gravity is the ratio of the density of a substance to the density of a reference substance, usually water. Given the specific gravity of hydrochloric acid (HCl) as 1.18, it means that the density of HCl is 1.18 times that of water. Using the formula:

Density = Specific Gravity × Density of Reference Substance

Density of HCl = 1.18 × 62.4 pounds/cubic feet = 73.632 pounds/cubic feet

To find the volume of HCl with a mass of 57.8 pounds:

Volume = Mass / Density = 57.8 pounds / 73.632 pounds/cubic feet ≈ 0.785 cubic feet

Therefore, the volume of hydrochloric acid is approximately 0.785 cubic feet, which is closest to the option 1.27 ft³. The correct option is D.) 1.27 ft³.

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