Question

The specific gravity of ice is 0.917, whereas that for seawater is 1.025. What fraction of an iceberg is above the surface of the water?

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asked 2021-02-05
The specific gravity of ice is 0.917, whereas that for seawater is 1.025. What fraction of an iceberg is above the surface of the water?

Answers (1)

2021-02-06
We can solve this using Archimedes principle. MSK When iceberg floats on water, Its mass = Mass of sea water displaced.
Consider V \(\displaystyle{m}^{{3}}\) be the volume of iceberg. Its mass = Volume x density \(\displaystyle={V}\times{917}={917}\ {V}=\) Mass of sea water displaced
Volume of sea water displaced = Its mass / density = 917V/1025
This is also the volume of iceberg submerged in the sea water.
Volume of iceberg above the surface of sea water = V - (917V/1025)= 0.105V
Fraction of iceberg above the surface of sea water = 0.105V/V =0.105 = 10.5% or roughly one tenth.
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