Specific Heat Capacity Calculator
Q = mcΔT
Enter any 3 values to calculate the 4th
Formula
Q = m × c × ΔT
Where: Q = Heat energy, m = Mass, c = Specific heat capacity, ΔT = Temperature change
About This Calculator
Specific Heat Capacity Calculator is designed to reduce manual errors and give repeatable outputs when you need quick, reliable answers.
Calculate heat energy transferred, mass, temperature change, or specific heat capacity using Q = mcΔT. Used in thermodynamics, HVAC, materials science, and chemistry to quantify heat exchange in substances.
If your workflow expands, pair this calculator with Enthalpy Change Calculator and Molar Mass Calculator to cross-check assumptions and build a stronger analysis chain.
Formula
Q = m × c × ΔT, where Q is heat energy (joules), m is mass (kg), c is specific heat capacity (J/kg·°C), and ΔT is the temperature change (°C or K). Rearrange to solve for any variable.
Example Calculation
The worked example below demonstrates how the input fields translate into the final output. Use it as a quick validation pass before entering your own numbers.
- mass (kg): 2
- specific heat (J/kg·°C): 4186
- temperature change (°C): 10
Explanation of Results
Result Interpretation
Heating 2 kg of water (c = 4186 J/kg·°C) by 10°C requires 2 × 4186 × 10 = 83,720 J. Water has one of the highest specific heat capacities of common substances, which is why it's used as a coolant and why coastal climates are milder.
FAQ
What is specific heat capacity?
Specific heat capacity (c) is the amount of heat energy needed to raise 1 kg of a substance by 1°C (or 1 K). Water has c = 4,186 J/kg·°C, aluminum has c = 900 J/kg·°C, and iron has c = 450 J/kg·°C. A higher c means the material absorbs more heat for the same temperature rise.
What are the specific heat capacities of common materials?
Water: 4,186 J/kg·°C | Ice: 2,090 J/kg·°C | Aluminum: 900 J/kg·°C | Copper: 385 J/kg·°C | Iron/Steel: 450 J/kg·°C | Air: 1,005 J/kg·°C | Concrete: 880 J/kg·°C | Wood (oak): 2,000 J/kg·°C. These values vary slightly with temperature.
How do I calculate how much energy to heat water?
Use Q = m × 4186 × ΔT. To heat 1 liter (1 kg) of water from 20°C to 100°C: Q = 1 × 4186 × 80 = 334,880 J ≈ 335 kJ. An electric kettle rated at 2,000 W (2,000 J/s) would take 335,000 / 2,000 ≈ 167 seconds (about 2.8 minutes).
What is the difference between heat capacity and specific heat capacity?
Specific heat capacity (c) is a material property per unit mass (J/kg·°C). Heat capacity (C) is for a specific object: C = m × c, measured in J/°C. For a 0.5 kg aluminum pan (c = 900 J/kg·°C), heat capacity C = 0.5 × 900 = 450 J/°C — meaning it needs 450 J to rise 1°C.
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