Science
Sensible heat energy
Estimate heat added or removed when a material changes temperature using its mass and specific heat, keeping the sign of the temperature change.
Calculators / Science / Two-body equilibrium temperature
Two-body equilibrium temperature calculator
Find the ideal final temperature when two bodies exchange heat in an insulated system.
On this page
Equilibrium temperature40°C
Calculator controls
How to calculate
Find the ideal final temperature when two bodies exchange heat in an insulated system.
Equilibrium temperature =
(m1*c1*T1+m2*c2*T2)/(m1*c1+m2*c2) °CWorked example
- First mass (kg): 1
- First specific heat (J/kg·K): 4184
- First temperature (°C): 80
- Second mass (kg): 2
- Second specific heat (J/kg·K): 4184
- Second temperature (°C): 20
- Equilibrium temperature: 40 °C
Assumptions and limits
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Specific heats are constant; container heat capacity, phase changes, reactions and heat loss are excluded.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the ideal final temperature when two bodies exchange heat in an insulated system. The heat-capacity-weighted temperature must lie between the two initial temperatures.
When this tool is useful
The heat-capacity-weighted temperature must lie between the two initial temperatures.
Understanding your inputs
| Input | Example |
|---|---|
First mass (kg) m1 | 1 |
First specific heat (J/kg·K) c1 | 4184 |
First temperature (°C) T1 | 80 |
Second mass (kg) m2 | 2 |
Second specific heat (J/kg·K) c2 | 4184 |
Second temperature (°C) T2 | 20 |
Frequently asked questions
Which assumptions matter for this result?
This is an ideal educational model. Enter quantities in the stated SI units; it does not certify equipment safety or real operating limits. Specific heats are constant; container heat capacity, phase changes, reactions and heat loss are excluded.
How can I check the worked example?
Use the displayed example inputs in the stated formula. Keep each quantity in its labelled unit and compare the unrounded result before applying display rounding.