A plastic bottle holds 1 liter of kerosene. Will 1 kg of water fit into it?

A plastic bottle holds 1 liter of kerosene. Will 1 kg of water fit into it? (The density of water is 1000 kg / m3, kerosene – 800 kg / m3)

Vк = 1 l = 0.001 m3.

mw = 1 kg.

ρк = 800 kg / m3.

ρw = 1000 kg / m3.

Vв -?

The density of a substance ρ is a scalar physical quantity equal to the ratio of the mass of a substance m to the volume V it occupies: ρ = m / V.

Let us find the volume Vв, which is occupied by water with a mass of m = 1 kg according to the formula: Vв = mв / ρв.

Vw = 1 kg / 1000 kg / m3 = 0.001 m3.

We see that the volume of water Vw = 0.001 m3 is the same as the volume of kerosene Vw = 0.001 m3.

Answer: The water will fit in a plastic bottle.