Problems related to Relative Density

Problems related to Relative Density

In the previous post, we have dealt with Relative Density. Now, let us deal with some problem related to it.

1. A box containing substance A of mass 0.008 kg. The volume it occupies is 4 cm³. Find the specific gravity[Relative Density] of the substance A ?

Given:

Mass of the substance A = 0.008 kg

Volume it occupied = 4 cm³

Density of the water at 4℃ is 1 g/cm³

To find:

Relative Density of the substance A

Solution:

We know that the mass of the substance is 0.008 kg, i.e., 8 g 

The volume it occupies is 4 cm³.

Density of the substance A = Mass of the substance A / Volume it occupies

Density of the substance A = 8 g / 4 cm³

Density of the substance A = 2 g/cm³

Relative Density of the substance A = Density of substance A/ Density of water at 4℃

Relative Density of the substance A = [2 g/cm³] /[1 g/cm³]

Relative Density of the substance A is 2, i.e., the density of the substance A is 2 times of the density of water(at 4℃ ).

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 

2. Find the density of the Iron, given that the relative density of Iron is 8.5.

 Relative Density of the substance = Density of substance / Density of water at 4℃

Relative Density of Iron = Density of Iron/ Density of water at 4℃

Density of Iron = Relative Density of Iron × Density of water at 4℃

Density of Iron = 8.5 × 1000 kg / m³

Density of Iron = 8500 kg/m³

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -