What Fraction of Ice is Submerged When it Floats in Fresh Water?

What is the fraction of ice submerged when it floats in fresh water, given the density of water at 0 °C is very close to 1000 kg/m³ and the density of ice is 0.917 g/cm³?

The fraction of ice submerged when it floats in fresh water is 0.9. Given that the density of water is 1000 kg/m³ and the density of ice is 0.917 g/cm³. Converting g/cm³ to kg/m³, we get 0.917 g/cm³ = 917 kg/m³.

Explanation:

Archimedes principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object. When an object is immersed in a fluid, it experiences an upward force known as the buoyant force. This force is equal to the weight of the fluid displaced by the object.

In the case of ice floating in water, the weight of the water displaced by the ice is equal to the weight of the ice itself. This means that the fraction of ice submerged is equal to the ratio of the density of ice to the density of water.

We are given the densities of water and ice as 1000 kg/m³ and 0.917 kg/m³ respectively. By using the formula ρ₁V₁ = ρ₂V₂, where ρ₁ is the density of water, ρ₂ is the density of ice, V₁ is the volume of water displaced, and V₂ is the volume of ice submerged, we can calculate the fraction of ice submerged.

Given that the fraction of ice submerged is 0.9, we can conclude that approximately 90% of the ice's volume is submerged when it floats in fresh water.