Thermodynamics
Volume Thermal Expansion
Change in volume due to temperature change.
Variables
ΔVm³
Change in volume
Volume increase
β1/K
Volume expansion coeff
β ≈ 3α
V₀m³
Original volume
Initial volume
Allowed values: greater than 0
ΔTK
Temperature change
Change in temperature
Derivation
For isotropic materials, β ≈ 3α.
Your notes
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Check value
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- β = 2 1/K (Volume expansion coeff)
- V₀ = 3 m³ (Original volume)
- ΔT = 4 K (Temperature change)
Result: ΔV = 24 m³
Other thermodynamics formulas with the same quantities
- Heat Capacity (Heat & Temperature) shares Temperature change
Where this formula is listed
- Thermodynamics formulas, under Heat & Temperature, alongside Latent Heat, Heat Conduction, Stefan-Boltzmann Law, Thermal Resistance and Newton's Law of Cooling.
- In the thermodynamics list it comes after Linear Thermal Expansion and before Heat Conduction.
- Thermodynamics formula sheet, one of 34 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Volume Thermal Expansion formula?
Volume Thermal Expansion is written ΔV = βV₀ΔT. Change in volume due to temperature change. It belongs to Thermodynamics, under Heat & Temperature.
What are the units in ΔV = βV₀ΔT?
In SI units, ΔV is change in volume, measured in m³; β is volume expansion coeff, measured in 1/K; V₀ is original volume, measured in m³; ΔT is temperature change, measured in K.
How is the Volume Thermal Expansion formula derived?
For isotropic materials, β ≈ 3α. The result is ΔV = βV₀ΔT.