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# Expansion of Solids – Types of Expansion

Aug 20, 2022

## Expansion of Solids

### Key Concepts

1. Introduction
2. Linear expansion
3. Areal expansion
4. Volumetric expansion

### Introduction:

In this session, we will learn about the effect of heat, particularly on the solids.

Solids show three types of expansions when exposed to heat, they are:

1. Linear expansion
1. Areal expansion
1. Volumetric expansion

### Linear expansion:

Let us consider an iron rod of length L1 at temperature T1. When the iron rod is subjected to constant heat, it expands, and its length changes from L1 to L2 and the temperature to T2.

The coefficient of linear expansion is given by:

Where,

α = Coefficient of linear expansion

L1 = Length of the iron rod before heating

L2 = Length of the rod after heating

T1 = Initial temperature of the rod

T2 = Final temperature of the rod after expansion

#### Points to be remembered:

1. Linear expansion is only affecting the length.
1. It has only one dimension (Length).
1. The coefficient of linear expansion is only one dimensional.

### Areal expansion:

Let us consider an iron sheet of area A1 at temperature T1, and the iron sheet is heated constantly. After some time, the area of the iron sheet changes from A1 to A2 at temperature T2.

Then the coefficient of areal expansion is given by:

Where,

β = Coefficient of areal expansion

A1 = Area of the iron sheet before heating

A2 = Area of the iron rod after heating

T1 = Initial temperature of the sheet

T2 = Final temperature of the sheet after expansion

#### Points to be remembered:

1. Areal expansion is only on the area.
1. It has two-dimensions (Area).
1. The coefficient of areal expansion is only two dimensional.

### Volumetric expansion:

Let us consider an iron block with the volume V1 at the temperature T1, and the block is heated constantly. If the volume of the block is changed from V1 to V2 at the temperature T2,

then the coefficient of volumetric expansion is given by:

Where,

γ = Coefficient of volumetric expansion

A1 = Volume of the iron block before heating

A2 = Volume of iron block after heating

T1 = Initial temperature of the block

T2 = Final temperature of the block after expansion

#### Points to be remembered:

1. Volumetric expansion is only on the volume.
1. It has a three-dimensions (volume).
2. The coefficient of areal expansion is three dimensional

## Summary

Solids show three types of expansions when exposed to heat, they are:

1. Linear expansion
2. Areal expansion
3. Volumetric expansion

The coefficient of linear expansion is given by:

Then the coefficient of areal expansion is given by

Then the coefficient of volumetric expansion is given by:

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