Question

What will be the magnitude of density of water & mercury?

Answer 1

Hint: Density is a quantity in which the measurement of mass in a unit volume of a material substance is taken ${\rho }_w=1gmc{m}^{-3}=1000kg{m}^{-3}$.

Formula used: The formula for density is
$d={\displaystyle \frac{m}{V}}$
Where $d$ is density of material, $m$ is mass, and $V$ is volume. Density is generally expressed in units of grams per cubic centimetre.

Complete step by step answer:
First of all let us discuss what a density actually means.
Density is a value of how compactly the mass in a material or object is kept. The density of an object or substance is being calculated from the equation,
 $d={\displaystyle \frac{m}{V}}$
Where $d$ is density of material, $m$ is mass, and $V$ is volume. Density is generally expressed in units of grams per cubic centimetre. In fact it can be told in other words like it is the number of kilograms that volume of one meter cube of the substance actually weighs. When a meter cubed is weighed more, then the substance is actually denser. Mercury has a density of $13.5gm{L}^{-1}$, which is almost 13.5 times denser than the water. Because of this even a small amount of mercury will feel unexpectedly heavy.

So, Density of water
${\rho }_w=1gmc{m}^{-3}=1000kg{m}^{-3}$
Density of mercury
${\rho }_{Hg}=13.6gc{m}^{-3}=13600kg{m}^{-3}$

Note: Mercury is a very heavy liquid at a room temperature. It will sink in water, even heavy solid objects like iron balls and will float in the pool of the silvery metal. Mercury is having a density of 13.6 grams per centimetre cube. Therefore mercury is having more mass than that of water within the equal volume. Therefore mercury has a larger density. This is due to mercury having a much bigger nucleus than hydrogen or else we can say bigger than nucleus of water or the atoms that make up water molecules.