Question

A solid weighs 15 gm in air and 13 gm when completely immersed in a liquid of relative density 0.8 find the volume of solid and density

Answer 1

Answer:

The volume of the solid = 2.5 cm³

The density of the solid = 6 gm/cm³

Explanation:

When completely immersed in water, the solid displaces its own volume.

Now: Let V be the volume of the liquid displaced.

The weight of the liquid displaced = Volume of the liquid displaced × density of the liquid

Density of the liquid = 0.8

Weight of the liquid displaced = loss of weight of the solid = 15 - 13 = 2 gm

2 = 0.8V

V = 2/0.8 = 2.5 cm³= the volume of the solid.

The mass of the solid = 15 gm

Density = mass/volume

= 15/2.5 = 6 gm/cm³

The volume of the solid = 2.5 cm³

The density of the solid = 6 gm/cm³

Answer 2

$\huge \tt volume \: \: of \: \: : \\ \\ \huge \tt solid = 2.5 {cm}^{3} \\ \\ \huge \tt density \: = 6 \: gm \: / {cm}^{ 3}$