# Volumetric Thermal Expansion Coefficient

Volumetric thermal expansion coefficient, abbreviated as \(\alpha_v\) (Greek symbol alpha), also known as coefficient of volumetric thermal expansion, is the ratio of the change in size of a material to its change in temperature.

### Volumetric Thermal Expansion Coefficient FORMULA

\(\large{ \alpha_v = \frac { 1 }{ V } \; \frac {\Delta V } {\Delta T} }\)

\(\large{ \alpha_v = \frac{ v_f \;-\; v_i }{ v_i \; \left( T_f \;-\; T_i \right) } }\)

\(\large{ \alpha_v = 3 \; \alpha_i }\)

Where:

\(\large{ \alpha_v }\) (Greek symbol alpha) = volumetric thermal expansion coefficient

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

\(\large{ \Delta T }\) = temperature differential

\(\large{ T_f }\) = final temperature

\(\large{ T_i }\) = initial temperature

\(\large{ v_f }\) = final velocity

\(\large{ v_i }\) = initial velocity

\(\large{ V }\) = volume of object

\(\large{ \Delta V }\) = volume differential

\(\large{ T_f }\) = final volume

\(\large{ T_i }\) = initial volume

Tags: Equations for Thermal Equations for Coefficient Equations for Volume