Change in Density with Temperature (Linear Expansion) Calculator
What is the Change in Density with Temperature (Linear Expansion)?
The change in density of a material due to temperature is a result of thermal expansion or contraction. As temperature increases, most materials expand, which decreases their density. The amount of density change is directly proportional to the temperature change and the material’s linear expansion coefficient.How to Calculate the Change in Density with Temperature
To calculate how the density changes with temperature due to linear expansion, use the formula:- Final Density (ρ) = Initial Density × [1 – α × ΔT]
- Where:
- ρ is the final density (kg/m³)
- α is the linear thermal expansion coefficient (1/°C)
- ΔT is the temperature change in °C
- As the temperature increases, the material’s volume expands, which causes the density to decrease.
| Material | Initial Density (kg/m³) | α (1/°C) | ΔT (°C) | Final Density (kg/m³) |
|---|---|---|---|---|
| Aluminum | 2700 | 0.000022 | 50 | 2671.00 |
| Steel | 7850 | 0.000012 | 100 | 7760.00 |
| Glass | 2500 | 0.000009 | 75 | 2465.00 |
| Copper | 8960 | 0.000017 | 60 | 8836.00 |