Physics

Calorimetry Calculator

Find the equilibrium temperature when two substances mix.

Mass 1

Specific heat 1 (J/(kg·K))

Temperature 1 (°C)

Mass 2

Specific heat 2 (J/(kg·K))

Temperature 2 (°C)

Calculated Output

Final temperature (°C) 40

Formula: T_f = (m₁c₁T₁ + m₂c₂T₂) ÷ (m₁c₁ + m₂c₂)

Step-by-Step Breakdown

1. Values used:

2. Mass 1 = 1

3. Specific heat 1 = 4,186 J/(kg·K)

4. Temperature 1 = 80 °C

5. Mass 2 = 2

6. Specific heat 2 = 4,186 J/(kg·K)

7. Temperature 2 = 20 °C

9. Final temperature = 40°C

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The math behind it

Conserving heat: T_f is the heat-capacity-weighted average of the two starting temperatures.

1 kg water at 80 °C + 2 kg water at 20 °C → 40 °C.

Does it assume no heat loss?

Yes — an ideal, perfectly insulated calorimeter.