The mass of an empry density bottle is 40g and when the bottle is completely filled with water its mass becomes 75g. The mass of the density bottle becomes 70g when filled with another liquid. Density of water is 1 g/cm³.
Find the capacity of the density bottle and the density of the liquid used.
The mass of the bottle when empty is 40 g, and when it is filled with water the mass is 75 g. The density of water is 1 g/cm^3. As 75 - 40 = 35 g of water can be filled in the bottle and the density of water is 1g/cm^3, the capacity of the bottle is 35 cm^3.
When the other liquid is filled in the bottle its mass rises to 70 g. This gives the mass of 35 cm^3 of the liquid as 30 g. The corresponding density of the liquid is `30/35 ~~ 0.8571` g/cm^3