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# What is the density of 5 litres of water having mass 5 kg?

Last updated date: 20th Jul 2024
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Hint: The density of any substance is the measure of its mass per unit of volume. The density tells the mass that is contained in each unit of volume. The units of mass is in kg or g, while the volume will be taken in per meter cube, so litre will be converted to meter form the conversion factor that 1 L = 0.001 cubic meter.
Formula used:
Density = $\dfrac{mass}{volume}$

1 L = ${{10}^{-3}}{{m}^{3}}$
So, 5 L = $5\times {{10}^{-3}}{{m}^{3}}$
Now using, density = $\dfrac{mass}{volume}$
Density = $\dfrac{5\,kg}{5\times {{10}^{-3}}{{m}^{3}}}$
Density = $1000\,kg/{{m}^{3}}$
So, the density of water is $1000\,kg/{{m}^{3}}$.
The fact that ice floats on water is due to the density. Ice due to its 3 – D structure has less density due to more volume in between its molecules. Therefore ice being less dense than water is able to float on water. While, the more dense substances tend to sink in water. The volume and mass of the water are nearly equal, which makes its density $1000\,kg/{{m}^{3}}$.