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?

Jaya Legge

Jaya Legge

Answered question

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?

Answer & Explanation

pattererX

pattererX

Skilled2021-02-06Added 95 answers

We can solve this using Archimedes principle. MSK When iceberg floats on water, Its mass = Mass of sea water displaced.
Consider V m3 be the volume of iceberg. Its mass = Volume x density =V×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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