# Volumetric Thermal Expansion

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Volumetric thermal expansion (also known as volume thermal expansion) takes place in gasses and liquids when a change in temperature, volume or type of substance occures.

### Volumetric Thermal Expansion Formulas

$$\large{ \Delta V = V_f \;-\; V_i }$$

$$\large{ \Delta V = 3 \alpha \Delta T V }$$

$$\large{ \Delta V = V \left( 1 + 3 \alpha \Delta T \right) }$$

$$\large{ \Delta V = \beta V_i \Delta T }$$

$$\large{ \frac { \Delta V} { V_i } = \beta \Delta T }$$

Where:

$$\large{ \alpha }$$   (Greek symbol alpha) = linear thermal expansion coefficient

$$\large{ \beta }$$   (Greek symbol beta) = volumetric thermal expansion coefficient

$$\large{ \Delta T }$$ = temperature differential

$$\large{ V }$$ = volume

$$\large{ V_f }$$ = final volume of object

$$\large{ V_i }$$ = initial volume of object

$$\large{ \Delta V }$$ = volume differential