# Volumetric Thermal Expansion Coefficient

Written by Jerry Ratzlaff on . Posted in Thermodynamics

## volumetric Thermal Expansion Coefficient

Volumetric thermal expansion coefficient ( $$\beta$$ ) (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

$$\beta = \frac { 1 }{ V } \frac {\Delta A } {\Delta T}$$          $$volumetric \;thermal \; expansion \; coefficient \;=\; \frac { 1 }{ volume \; of \; object } \;\;x\;\; \frac { area \; differential } { temperature \; differential }$$

Where:

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

$$V$$ = volume of the object

$$\Delta V$$ = area differential

$$\Delta T$$ = temperature differential