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Two-Body Calorimetry Calculator — result sheet
Estimate the equilibrium temperature when two bodies with known masses and specific heats exchange heat in an isolated model.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Tₑq = (m₁c₁T₁ + m₂c₂T₂)/(m₁c₁ + m₂c₂).
The equilibrium temperature is the heat-capacity-weighted average when no heat leaves the two-body system.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Body 1 mass — mass units; minimum 1.0E-6; maximum 1000000
- Body 1 specific heat — energy/(mass·K); minimum 1.0E-6; maximum 1000000
- Body 1 temperature — °C or relative temperature; minimum -100000; maximum 100000
- Body 2 mass — mass units; minimum 1.0E-6; maximum 1000000
- Body 2 specific heat — energy/(mass·K); minimum 1.0E-6; maximum 1000000
- Body 2 temperature — °C or relative temperature; minimum -100000; maximum 100000
Worked example
| Input | Value |
|---|---|
| Body 1 mass | 1 |
| Body 1 specific heat | 4186 |
| Body 1 temperature | 80 |
| Body 2 mass | 1 |
| Body 2 specific heat | 4186 |
| Body 2 temperature | 20 |
Equilibrium temperature = 50°.
Assumptions and limits
- Specific heats remain constant across the temperature interval.
- The two bodies reach one common equilibrium temperature in an isolated system.
- Phase changes, heat loss, mixing work, and container heat capacity are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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