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Question

A bottle weighs 20g when empty and when completely filled with water, weighs 50g and when filled with kerosene , it weighs 44g . Calculate the volume of bottle and density of kerosene oil

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Solution

Let Vb be the volume of the bottle whose mass is 20 g.

When filled with water the bottle weighs 50 g

Therefore, Mass of water in the bottle, Mw = 50 – 20 = 30 g

Density of water =
Mw/Vb = 1 g/cc
V=Mw/1
But,Mw=30
so,=> Vb =30/1 cc =30 cc

So, the volume of the bottle is =Vb= 30 cc.

When filled with kerosene the bottle weighs 44 g.

So, mass of kerosene in the bottle, mk = 44 – 20 = 24 g

Therefore, density of the kerosene = mb/V = 24/30 =4/5= 0.8 g/cc


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