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Question
The mass of an empty density bottle is 21.8 g when filled completely with water is 41.8 g and when filled completely with liquid it is 40.6 g. Find
- the volume of density bottle.
- the relative density of liquid.
Solution
(a) Density of water is 1 g Cm3
∴ Volume of density bottle = weight of water in grams completely filling the bottle
Volume of density bottle:
Mass of empty density bottle = M1 = 21.8 g
Mass of bottle + water = M2 = 41.8 g
∴ Mass of water completely filling the density bottle
= M2 − M1
= 41.8 − 21.8
= 20 g
Density of water = 1 g/cm3
Volume = 20 g
∴ V = 20 g = 20 mL
∴ V = 20 mL
(b) Mass of liquid = (mass of liquid − mass of density bottle)
= 40.6 − 21.8
= 18.8 g
Relative density = `"Mass of Liquid"/"Mass of waste"`
= `(18.8)/(20)`
= `188/200`
= `94/100`
= 0.94
∴ Relative density of liquid = 0.94
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