Coefficient of volume expansion

Definition

The coefficient of volume expansion is a material-specific constant that quantifies the fractional change in volume per degree change in temperature. It is typically denoted by $\beta$ and measured in $\text{K}^{-1}$.

5 Must Know Facts For Your Next Test

1. The coefficient of volume expansion is crucial for understanding how materials behave when heated or cooled.
2. It applies to fluids and solids, but it is particularly significant for liquids and gases.
3. The mathematical expression for volume expansion is $\Delta V = \beta V_0 \Delta T$, where \(V_0\) is the initial volume.
4. Different materials have different coefficients of volume expansion, which must be considered in engineering applications.
5. It can be derived from the linear expansion coefficient for isotropic materials using the relation $\beta = 3\alpha$.

Review Questions

• What does the coefficient of volume expansion measure?
• How do you mathematically express the relationship between volume change and temperature?
• Why is it important to consider the coefficient of volume expansion in material design?

Related terms

Thermal Expansion: The tendency of matter to change its shape, area, and volume in response to a change in temperature.

Coefficient of Linear Expansion: A material-specific constant that quantifies the fractional change in length per degree change in temperature, denoted by $\alpha$.

$\Delta T$: $\Delta T$ represents the change in temperature and is a critical variable when calculating thermal expansion.