Heat Energy
Q = m × c × ΔTLast updated:
Specific Heat Calculator
Calculate heat energy, specific heat capacity, and temperature change using Q=mcΔT. Free thermodynamics calculator with material database for common substances.
Specific Heat Calculator
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Calculate heat energy using Q = mcΔT
Q = m × c × ΔT
Heat = Mass × Specific Heat × Temperature Change
Specific Heat Values (J/(kg·K))
Water:4186
Ice:2090
Steam:2010
Aluminum:897
Copper:385
Iron:449
Gold:129
Lead:128
Glass:840
Wood:1700
Air:1005
Concrete:880
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Thermodynamics
Specific Heat Calculator: Q = mcΔT Complete Guide
Calculate heat energy transfer, temperature changes, or mass using the fundamental calorimetry equation for engineering and science.
Formula
Q = m × c × ΔT
Water c
4187 J/(kg·K)
Aluminum c
~900 J/(kg·K)
Copper c
~385 J/(kg·K)
Reviewed by: CalculatorApp Thermodynamics & Engineering Team
What Is Specific Heat Capacity?
Specific heat capacity quantifies how much thermal energy a material stores per unit mass per degree of temperature change. High-specific-heat materials like water are excellent thermal buffers; low-specific-heat metals respond quickly to heating. Engineers use Q = mcΔT for heat exchanger sizing, HVAC load calculation, material processing, and battery thermal management.
Specific Heat
c = Q / (m ΔT)Temperature Rise
ΔT = Q / (m × c)Mass
m = Q / (c × ΔT)| Material | Specific Heat [J/(kg·K)] | Engineering Note |
|---|---|---|
| Water | 4187 | Excellent coolant and heat storage medium |
| Aluminum | 900 | Lightweight with moderate thermal capacity |
| Iron / Steel | 450-500 | Structural, moderate thermal mass |
| Copper | 385 | High conductivity, low specific heat, fast response |
History Timeline
1760: Joseph Black distinguishes heat from temperature and discovers latent heat.
1780s: Lavoisier and Laplace build the first ice calorimeter and measure specific heats.
1818: Pierre-Louis Dulong and Alexis Petit find that molar heat capacities of metals are approximately constant.
1843: James Joule establishes the mechanical equivalent of heat, unifying thermal and mechanical energy.
1850s: Clausius and Kelvin formulate the laws of thermodynamics.
Modern era: Precise calorimetry and DFT computations enable accurate specific heat prediction for new materials.
NIST Thermochemistry
Thermodynamic property data for engineering materials.
PubMed Thermal Studies
Peer-reviewed thermal properties and calorimetry research.
WHO Food Safety
Temperature control in food safety using thermal calculations.
DOE Energy Efficiency
Thermal energy storage and efficiency programs.
Myth: Specific heat and heat capacity are the same.
Fact: Specific heat is per unit mass; heat capacity is for a whole object. C = m × c.
Myth: Higher specific heat means faster heating.
Fact: Higher specific heat means more energy is needed to raise temperature — the material heats more slowly.
Myth: Latent heat is covered by Q = mcΔT.
Fact: Phase changes involve latent heat at constant temperature and require a separate Q = mL calculation.
Myth: Temperature change in Celsius and Kelvin differ in this formula.
Fact: ΔT is identical in Celsius and Kelvin because only the difference matters, not the absolute value.
FAQ (12)
What is specific heat capacity?
Specific heat capacity (c) is the energy required to raise 1 kg of a substance by 1°C (or 1 K), in units of J/(kg·K).
What is the formula Q = mcΔT?
Q is heat energy (J), m is mass (kg), c is specific heat [J/(kg·K)], and ΔT is temperature change (K or °C).
Why does water have such a high specific heat?
Water's hydrogen bonding network stores energy as molecular vibrations, giving it an unusually high c of ~4187 J/(kg·K).
What is the specific heat of common metals?
Aluminum: ~900 J/(kg·K), copper: ~385, iron: ~450, gold: ~129 J/(kg·K). Metals generally have lower c than water.
How is specific heat used in HVAC?
HVAC systems use Q = mcΔT to calculate heating or cooling loads for air (c~1005 J/kg·K) and water circuits.
Can specific heat vary with temperature?
Yes. At extreme temperatures, c can change significantly, especially near phase transitions.
What is latent heat vs. sensible heat?
Sensible heat changes temperature (Q = mcΔT); latent heat drives phase changes at constant temperature.
What is a calorimeter?
A calorimeter is an insulated device that measures heat exchange by monitoring temperature changes of known mass and specific heat.
How do I find unknown specific heat experimentally?
Use a calorimeter: mix the sample with water, measure ΔT for both, and solve Q_lost = Q_gained.
Is specific heat the same as heat capacity?
No. Specific heat is per unit mass (J/kg·K); heat capacity is for a specific object (J/K) = m × c.
How is this used in food and chemical processing?
Pasteurization, sterilization, and chemical reactor temperature control all use Q = mcΔT for energy balance.
What units are used in engineering vs. chemistry?
Engineering: J/(kg·K) or kJ/(kg·K). Chemistry: cal/(g·°C) or J/(mol·K). 1 cal/(g·°C) = 4187 J/(kg·K).
References
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