What fraction of an iceberg is above the surface of the water?
The fraction of the ice that lies above the water is obtained as 0.11.
Fraction of Iceberg Above Water
The specific gravity of an material is defined as the ratio of the density of the material to the density of water. The specific gravity of ice is 0.917, whereas that of seawater is 1.025. By using the specific gravities, we can calculate the fraction of an iceberg above the surface of the water.
To calculate the fraction above the surface of the water, we can use the formula:
Volume above = (Density of liquid - Density of ice) / Density of liquid
Substitute the given densities:
Density of ice = 0.917 g/cm^3
Density of seawater = 1.025 g/cm^3
Volume above = (1.025 - 0.917) / 1.025 = 0.11
Therefore, the fraction of the iceberg that lies above the surface of the water is 0.11.
Density of Iceberg
What is the density? Density is the ratio of the mass to the volume of an object. In this case, we are looking at the density of ice. The density of ice is calculated using the specific gravity, which is the ratio of the density of the object to the density of water.
Given specific gravity:
Density of ice = 0.917 g/cm^3
Density of seawater = 1.025 g/cm^3
To find the density of ice, we can use the specific gravity formula:
Density = Specific Gravity x Density of Water
Density of ice = 0.917 x 1 g/cm^3 = 0.917 g/cm^3
Therefore, the density of ice is 0.917 g/cm^3.