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Question

A bottle weighs 30g when empty, 53.4g when completely filled with a liquid and 48g when completely filled with water. Calculate the density of the liquid. Take, density of water=1000kg/m3.

A
1300kg/m3
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B
13kg/m3
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C
245kg/m3
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D
None of these
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Solution

The correct option is A 1300kg/m3
The mass of the bottle is given as 30 g.
The mass of the liquid is given as 53.4 g - 30 g = 23.4 g.
The mass of water is given as 48 g - 30 g = 18 g = 0.018 kg.
The volume is calculated.
We know, Density = Mass / Volume.
As the mass of water is determined and the density of water is given, the volume of water is given as follows.
Volume = Mass / Density = 0.018 / 1000 = 18×106m3.
Now the density of the liquid is given as, 23.4×103m318×106m3=1300kg/m3.

Hence, the density of the liquid is 1300kg/m3.

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