Question

Equal masses of water and a liquid of density 2 $g/c{m}^3$ are mixed together, then the mixture has a density of $\frac{4}{n}$ $g/c{m}^3$ , where n is ___.

Answer 1

Let the mass of water taken be m grams.

Density of water = 1 $g/c{m}^3$

So, its volume = $\frac{m}{1}$ = m $c{m}^3$

Mass of the liquid = m grams

Density of the liquid = 2 $g/c{m}^3$

So, volume of the liquid = $\frac{m}{2}c{m}^3$

Density of the mixture = $\frac{Massofthemixture}{Volumeofthemixture}=\frac{m+m}{m+\frac{m}{2}}=\frac{4}{3}g/c{m}^3$

So, n = 3