The density of water at 0°C is 999.84 kg/m³ and at 4°C it is 999.96 kg/m³.A 1.0-L container,full to the brim with water at 4.0°C is placed in the refrigerator.By the time that the temperature of the water reaches 0.0°C,what volume of water has spilled from the container,assuming that the contraction of the container is negligible? A)1.1 × 10^-7 m³ B)1.2 × 10^-7 m³ C)1.3 × 10^-7 m³ D)1.4 × 10^-7 m³ E)1.5 × 10^-7 m³

Question

Quizplus · Accepted Answer

Using the given densities, we can calculate the volume of water at 4°C:

V1 = m / ρ1 = 1 kg / 999.96 kg/m³ = 0.001 m³

At 0°C, the volume of water will be:

V2 = m / ρ2 = 1 kg / 999.84 kg/m³ = 0.00100016 m³

The difference in volume between the two temperatures is:

ΔV = V2 - V1 = 1.6 x 10^-7 m³

Since the container is full to the brim, this is the amount of water that has spilled. Therefore, the answer is B) 1.2 x 10^-7 m³.

The Density of Water at 0°C Is 999