Question

What is the volume of a liquid with a density of $ 5.45gm{l^{ - 1}} $ and a mass of $ 65g $ ?

Answer 1

Hint: Density of a substance is defined as the ratio of mass of a substance to the volume of a substance. Given that the density of a liquid is $ 5.45gm{l^{ - 1}} $ and the mass of liquid is $ 65g $ , dividing the mass of the liquid with the density of a liquid gives the volume of a liquid.
 $ \rho = \dfrac{m}{V} $
 $ \rho $ is density of liquid
 $ m $ is mass of liquid
 $ V $ is the volume of liquid.

Complete answer:
Volume is defined as the space occupied by a compound or object. Mass is defined as the amount or weight contained in that body. Density is defined as the ratio of the mass of the substance to the volume of the substance.
Given that the liquid has a density of $ 5.45gm{l^{ - 1}} $ and has a mass of $ 65g $
The density of liquid represented by $ \rho $ is $ 5.45gm{l^{ - 1}} $
The mass of a liquid represented by $ m $ is $ 65g $
Substitute the values of density and mass of liquid in the above formula,
 $ 5.45gm{l^{ - 1}} = \dfrac{{65g}}{V} $
By simplifying the above equation, the volume of a liquid will be $ V = \dfrac{{65}}{{5.45}} = 12ml $
Thus, the volume of a liquid with a density of $ 5.45gm{l^{ - 1}} $ and a mass of $ 65g $ is $ 12ml $ .

Note:
While calculating the volume of a liquid from density and mass of a liquid, if the density is in grams per millilitre, then the mass should be present in mass only. As in that case only the volume of a liquid will be obtained as the units in millilitres. If the density is in kilograms per litre then the mass should be present in kilograms only.