Volumetric Thermal Expansion
Volumetric Thermal Expansion
A volume expands with temperature in proportion to its volumetric expansion coefficient — the effect that drives liquid thermometers and tank venting.
The volume change is ΔV = β·V·ΔT. where β is the volumetric expansion coefficient, V the volume and ΔT the temperature change.
Inputs
beta := 0.00021 K^-1=2.1e-04 1/K
V := 1 m^3=1 m^3
dT := 30 K=30 K
Apply the volumetric expansion formula.
dV := beta·V·dT=6.3e-03 m^3
Results
A 30 K rise expands a cubic metre of water by several litres — enough to demand expansion vessels in closed heating systems.
Assumptions & limitations
- Free expansion.
- Constant expansion coefficient.
- Moderate temperature change.