Thermal Expansion Formula

Thermal Expansion Formula

Thermal expansion is the tendency of an object to change its length or volume as a result of heat. When a material is heated, its kinetic energy increases. Thermal expansion formula is classified into three types: linear expansion, area expansion, and volume expansion. The thermal expansion equation and its variants will be discussed in this section. We will learn and solve problems involving coefficient formulas, such as the coefficient of volume expansion formula.

What is the Thermal Expansion Formula?

Thermal expansion is a phenomenon that can be seen in solids, liquids, and gases. With the application of heat, an object or body expands (temperature). Thermal expansion is the tendency of an object to change dimension due to heat, either in length, density, area, or volume. When a substance is heated, its kinetic energy increases. There are three types of thermal expansion:

Linear enlargement

Expansion of the area

Volume increase

The coefficient of linear thermal expansion is defined as the relative expansion of the material divided by the change in temperature. In general, the coefficient of linear thermal expansion varies with temperature.

Linear Expansion Formula

Expansion is defined as a change or increase in length. Linear expansion is defined as a change in length over one dimension (length) of a volume. The expansion in this case is caused by a temperature change. As a result, a change in temperature is expected to change the rate of expansion. When subjected to heat radiation, this description describes how long a substance can retain its original shape and size. Linear expansion refers to the change in length caused by heat.

Coefficient of Linear Expansion Formula

Students can find detailed explanations of the Thermal Expansion Formula on the Extramarks website and mobile app. Because of the solutions that are based on the Thermal Expansion Formula, students can easily understand the concept. To save students time and effort, all necessary explanations and derivations in the Thermal Expansion Formula solutions have been highlighted and mentioned in the article. These notes on the Thermal Expansion Formula, which are available on the Extramarks website and mobile application, will help students with their questions. The Thermal Expansion Formula notes can help students strengthen their foundations, which is especially useful for board exams. The examples in the article clearly demonstrated the importance of the Thermal Expansion Formula.

Applications of Coefficient of Linear Expansion

Scientific and technological advances have enormous benefits. The material palette’s implementation must be precise in order to keep up with the rapid growth of industrialization and construction. The material used serves as a backbone in everything from building a house to launching a satellite.

A diverse range of materials is easily accessible all around us. They each have unique thermal properties. To properly use materials, it is necessary to compare their expanding capacities as temperature rises. Higher linear expansion coefficient materials are more stable and can be used to construct solid structures in general. By combining the materials, this property can be tailored to meet specific requirements. As a result, metal alloys are becoming more popular.

Volume Expansion Formula

The Thermal Expansion Formula notes are also available in Hindi for students registered with various boards of education. The Thermal Expansion Formula notes have a simple conceptual framework and were written with students in mind. Students can review the solutions to the Thermal Expansion Formula while taking notes for themselves. The Thermal Expansion Formula is very appealing to students because of its diverse, dynamic, and varied nature.

Volumetric Expansion Coefficient

Because most real-world objects are three-dimensional and thus undergo three-dimensional expansion (volumetric expansion), it is critical to consider the volumetric thermal expansion of substances.

Thermal Expansion of Solids Examples

Thermal expansion has numerous applications in daily life. Among them are the following:

  • Long straight metal hot water heating pipes should not be used.
  • Metal-framed windows require rubber spacers.
  • Large structures and mega constructions, such as railways and bridges, require expansion joints to avoid sub-kinking.
  • Another example of a thermal expansion device is a thermometer.

Area Expansion

There are many websites that provide textbook solutions for the Thermal Expansion Formula, but not all of them are reliable. Information about the Thermal Expansion Formula obtained from untrustworthy sources may be incorrect. Students have confidence in the Thermal Expansion Formula study guides available on the Extramarks platform.

Solved Example:

A 5 m long rod that has been heated to 40°C. After some time, the length increases to 7 m. Find the coefficient of expansion. The room temperature is 30°C.

Ans: Given:

Initial length L0 = 5 m,

Expanded length L = 7 m

Change in length is denoted by Δ L = 7 – 5 = 2 m

Temperature difference Δ T = 40°C – 30°C  = 10°C

Absolute temperature T = 10°C +273=283 K

The linear expansion formula is given by,


= αL



∴  Length expansion coefficient is given by,


= δLL0×δT


= 25×283


= 14 x 10−4



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FAQs (Frequently Asked Questions)

1. What is the Linear Thermal Expansion Coefficient?

The coefficient of linear thermal expansion is defined as the relative expansion of a material divided by the temperature change.

2. What Are the Fundamental Characteristics of Thermal Expansion?

The rate of thermal expansion is proportional to the rate of temperature change. As the temperature changes, a bimetallic strip can bend even more. Second, it is materially based. The expansion of alcohol in a thermometer, for example, is much greater than the expansion of the glass in which it is contained.