# Volumetric Thermal Expansion

Written by Jerry Ratzlaff on . Posted in Thermodynamics

## Volumetric thermal expansion, abbreviated as $$\Delta V$$, also called volume thermal expansion or linear volume thermal expansion, takes place in gasses and liquids when a change in temperature, volume or type of substance occures.

## Volumetric thermal expansion Formulas

 $$\large{ \Delta V = V_f - V_i }$$ $$\large{ \Delta V = 3 \; \overrightarrow{\alpha_l} \; V_i \; \Delta T }$$

### Where:

 Units English Metric $$\large{ \Delta V }$$ = volumetric thermal expansion $$\large{ \frac{in^3}{in^3\;F} }$$ $$\large{ \frac{mm^3}{mm^3\;C} }$$ $$\large{ \overrightarrow{\alpha_l} }$$   (Greek symbol alpha) = linear thermal expansion coefficient $$\large{ \frac{in}{in\;F} }$$ $$\large{ \frac{mm}{mm\;C} }$$ $$\large{ \Delta T }$$ = temperature change $$\large{F}$$ $$\large{C}$$ $$\large{ V_f }$$ = final volume $$\large{in^3}$$ $$\large{mm^3}$$ $$\large{ V_i }$$ = initial volume $$\large{in^3}$$ $$\large{mm^3}$$ 