Question

An empty density bottle has a mass of 25 g. Its mass is 50 g when full of another liquid . What is the density of the liquid in kg/m3

Answer 1

Answer:

The relative density of the liquid with respect to water is = mass of the liquid / mass of the equal volume of water.Here the volume of  water and that of liquid under consideration are equal being the volume of the bottle.

Mass of empty bottle =25g

Mass of the  bottle full of water = 50 g

Therefore, mass one bottle of water (excluding the mass of the bottle) = 50-25 =25g

Mass of the  bottle full if liquid = 45g

So, mass of one bottle of liquid (excluding the mass of the bottle) = 45-25 =20g

Therefore, the reative density of the liquid  = 420/25 =0.8

Therefore, the density of the liquid  in kg/m^3 = mass of one cubic meter of liquid = 0.8*(100)^3 gram per m^3  = 800kg/m^3

KRISHNA-AGRAWALA | STUDENT

The relative density of any liquid or any other substance is given by the formula:

Relative Density=

(Mass of a given volume of the substance)/(Mass of a equal volume of water)

From the data given above we can calculate the mass of the liquid and water for volume equal to capacity of the density bottle as follows.

Mass of liquid = Mass of bottle full of bottle - Mass of empty bottle

= 45 - 25 = 20 g

Mass of water = Mass of bottle full of bottle - Mass of empty bottle

= 50 - 25 = 25 g

Therefore:

Relative density of liquid = (Mass of liquid)/(Mass of water)

= 20/25 = 0.8

Also:

Density in kg/m^3 = (Relative Density)*(Relative density)

We know density of water = 1000 kg/m^3

Substituting values of relative density and density of water in the above equation for Density, we get:

Relative density of liquid = 0.8*1000 = 800 kg/m^3

Explanation:

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