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📘 About the Specific Heat (Q = mcΔT)
The specific heat capacity of a substance is the energy needed to raise 1 kg of it by 1 °C. Multiply it by the mass and the temperature change to get the heat energy: Q = mcΔT.
Pick a material or choose 'Other' and enter its specific heat. A negative answer means the substance gives out heat as it cools. The formula applies only while the substance stays in the same state; for melting or boiling use the latent heat calculator.
🧮 Formula
Water's specific heat (4,186 J/kg·°C) is unusually high, which is why seas warm and cool slowly and water is used in car radiators.
✏️ Worked examples
Boiling 1 kg of water from 20 °C
You get| Heat energy Q (J) | 334,880 |
| Heat energy (kJ) | 334.88 |
| Heat energy (kcal) | 80.0382 |
| Temperature change ΔT (°C) | 80 |
Heating 1 litre of water to boiling takes 334.88 kJ.
Try this example →Cooling a 2 kg iron block
You get| Heat energy Q (J) | -157,500 |
| Heat energy (kJ) | -157.5 |
| Heat energy (kcal) | -37.6434 |
| Temperature change ΔT (°C) | -175 |
The block gives out -157.5 kJ (negative = heat released).
Try this example →🧭 How to use this calculator
What you enter
- Material (specific heat, J/kg·°C)
- Specific heat if 'Other' (J/kg·°C)
- Mass (m) (kg)
- Starting temperature (°C)
- Final temperature (°C)
What you get
- Heat energy Q (J)
- Heat energy (kJ)
- Heat energy (kcal)
- Temperature change ΔT (°C)
💡 Heat lost = heat gained (method of mixtures)
When a hot object is placed in cold water and no heat escapes, the heat lost by the hot object equals the heat gained by the water: m₁c₁(T₁ − T) = m₂c₂(T − T₂), where T is the final common temperature.
❓ Frequently asked questions
What is the formula for heat energy?
Q = mcΔT, where m is mass, c is specific heat capacity and ΔT is the temperature change.
What is the specific heat of water?
About 4,186 J/kg·°C (4.186 J/g·°C, or 1 cal/g·°C).
What is the difference between heat capacity and specific heat capacity?
Heat capacity is for a whole object (J/°C). Specific heat capacity is per kilogram (J/kg·°C).
Is J/kg·°C the same as J/kg·K?
Yes. A change of 1 °C equals a change of 1 K.