Question

5 litre of a liquid weights 5 kgf . The density of the liquid is _____ .

Answer 1

1 ml =1 g = 1 cm 3

1000 ml = 1000g = 1 kg = 1 l

5 l = 5kg = 5000 g = 5000 cm3

Density = mass  / volume

             =5000 g / 5000cm3

             =1 g / cm3

But mass of water is equal to volume of water. Not for other liquids. Density of water is 1 g/ cm 3

Answer 2

DENSITY IF LIQUID IS 1000 kg/m³.

Given:

• Volume of liquid = 5 litres
• Weight of liquid = 5 kgf

To find:

Density of liquid ?

Calculation:

First of all, let's find the mass of liquid:

• kgf is a unit of weight.
• So, when the weight is 5 kgf, the mass will be 5 kg.

Now, volume is 5 litres :

• 1 litre = 10^(-3) m³
• So, 5 litre = 5 × 10^(-3) m³

Hence, density will be :

$\rho = \dfrac{mass}{volume}$

$\implies \: \rho = \dfrac{5}{5 \times {10}^{ - 3} }$

$\implies \: \rho = 1000 \:kg/ {m}^{3}$

So, density of liquid is 1000 kg/m³.