Calculate thermal expansion ratio, percent expansion, and size change for linear, area, or volume values from temperature and material coefficient.

Expansion Ratio Calculator

Enter values, then click Calculate.

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Volume
Leave one of initial length, final length, change, or coefficient blank to solve it when enough data is available.

Expansion Ratio Formula

The following formula is used to calculate the expansion ratio.

ER = V_f / V_i

Variables:

  • ER is the expansion ratio
  • Vf is the final volume
  • Vi is the initial volume

To calculate the expansion ratio, divide the final volume by the initial volume.

What is an Expansion Ratio?

The expansion ratio is a measure of how much a substance expands when it undergoes a phase change or a chemical reaction. It is the ratio of the final volume to the initial volume. This concept is commonly used in various fields such as thermodynamics, engineering, and material science to understand the behavior of substances under different conditions.

How to Calculate Expansion Ratio?

The following steps outline how to calculate the Expansion Ratio.

  1. First, determine the initial volume (Vi).
  2. Next, determine the final volume (Vf).
  3. Finally, calculate the expansion ratio using the formula ER = Vf / Vi.
  4. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Initial Volume (Vi) = 2 m³

Final Volume (Vf) = 6 m³