Calculate the mass of 12 m³ of a liquid that has a relative density of 0.5.

• A. 3000 kg
• B. 6000 kg
• C. 1500 kg
• D. 1200 kg

Answer: (B)

To find the mass of a liquid given its volume and relative density, you can use the relationship between relative density, mass, and volume. Relative density is a comparison to the density of water, which is approximately 1000 kg/m³ at standard conditions.

In this case, the relative density of the liquid is 0.5, which means the liquid has a density of 0.5 times the density of water:

Density of the liquid = Relative density × Density of water

Density of the liquid = 0.5 × 1000 kg/m³ = 500 kg/m³

Now, to find the mass, you can use the formula:

Mass = Volume × Density

Substituting the known values:

Mass = 12 m³ × 500 kg/m³ = 6000 kg

Thus, the mass of 12 m³ of the liquid, given its relative density of 0.5, is 6000 kg, which confirms the correctness of this calculation and the answer choice indicating that.