A solid weighs 277.5 g in air and 212.5 g when totally immersed in the liquid density 0.9 g/cm^3. Calculate the density of the solid?
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Answer:
The solid apparently weighs less in water when compared to air because of the upward buoyant force acting on it when it is submerged in water.
According to Archimedes principle, the buoyant force acting on an object is equal to the weight of the fluid displaced by it.
Therefore, the apparent decrease in the weight of an object is equal to the weight of the fluid displaced by it.
Weight of displaced water = Apparent decrease in weight = 120−105=15 gf
Mass of displaced water = 15g
Volume of solid = volume of water displaced =
density
mass
=
1g/cm
3
15g
=15cm
3
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