4. An empty relative density bottle weighs 40 g but weighs 80 g when completely filled with water. When the bottle is completely filled with an unknown liquid, it weighs 60 g. Calculate the density of the unknown liquid.
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Answer:
Mass of empty density bottle = 30 gm
mass of density bottle with water in it 62 gm
Mass if density bottle with the liquid = 54 gm
Mass of water only = 62-30=32 gm
(a) Now volume of 1 g of water = 1cm
3
∴ Volume of density bottle = 32 cm
3
(b) Mass of liquid only = 54-30=24 gm
∴ density of the liquid = ∴
Volumeofliquid
Massofliquidonly
=
32cm
3
24g
=0.75g/cm
3
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