Specific Heat Capacity
c = Q/(m×ΔT) — energy per unit mass per degree. Water c ≈ 4186 J/(kg·K). Dulong-Petit: c_molar ≈ 3R for solids at high T. Q = mcΔT for heat transfer.
Did our AI summary help? Let us know.
Water has highest common liquid c; stabilizes climate and thermal systems. Metals have low c; aluminum ~900, copper ~385 J/(kg·K). Dulong-Petit: molar heat ≈ 3R for monatomic solids at high T. Phase change: latent heat L, no ΔT during melting/boiling.
Ready to run the numbers?
Why: Specific heat determines thermal inertia: water resists temperature change; metals heat quickly. Essential for HVAC, thermal management, and calorimetry.
How: Q = mcΔT. Solve for c, Q, m, or ΔT. Dulong-Petit: c_molar ≈ 3R ≈ 25 J/(mol·K) for solids at room T. Water c ≈ 4.186 kJ/(kg·K).
Run the calculator when you are ready.
💧 Water Heating
Heating 2 kg of water from 20°C to 80°C. Calculate the specific heat and heat energy required.
Click to use this example
🔩 Metal Identification
Unknown metal (0.5 kg) requires 89,700 J to heat from 25°C to 200°C. Identify the metal.
Click to use this example
🧪 Calorimetry Experiment
In a calorimetry experiment, 100 g of water at 80°C cools to 30°C. Calculate heat released.
Click to use this example
🍳 Cooking Applications
Heating 500 g of olive oil from 20°C to 180°C for frying. Calculate heat energy needed.
Click to use this example
🏭 Industrial Process Heat
Industrial process: 10 kg of aluminum heated with 1,568,750 J. Calculate temperature rise.
Click to use this example
Input Parameters
Leave empty if not calculating molar heat capacity
For educational and informational purposes only. Verify with a qualified professional.
🔬 Physics Facts
Water c = 4186 J/(kg·K) at 15°C — defines the calorie.
— NIST
Dulong-Petit: c_molar ≈ 3R for many solids at room temperature.
— Classical Physics
Q = mcΔT; negative Q means heat loss (cooling).
— Calorimetry
Material identification: match measured c to database for unknown samples.
— Lab
Frequently Asked Questions (FAQ)
What is specific heat capacity?
Specific heat capacity (c) is the amount of heat energy required to raise the temperature of one kilogram of a substance by one Kelvin. It's an intensive property, meaning it doesn't depend on the amount of material present.
Why does water have such a high specific heat?
Water has a high specific heat (4184 J/(kg·K)) because of hydrogen bonding between water molecules. This requires more energy to break these bonds and increase molecular motion, making water excellent for temperature regulation.
How does specific heat differ from heat capacity?
Heat capacity (C) is an extensive property that depends on mass (units: J/K). Specific heat (c) is an intensive property independent of mass (units: J/(kg·K)). Specific heat = Heat capacity / Mass.
Can specific heat be used to identify materials?
Yes! By measuring the heat energy transferred and temperature change for a known mass, you can calculate specific heat and compare it to known values. This calculator includes a material identification mode for this purpose.
What is the Dulong-Petit law?
The Dulong-Petit law states that at high temperatures, the molar heat capacity of most solid elements is approximately 3R (where R is the gas constant). This works well for many metals but breaks down at low temperatures.
Does specific heat change with temperature?
Yes, specific heat can vary with temperature, especially near phase transitions. For most practical purposes, we use average values over the temperature range of interest. This calculator uses standard reference values.
Official Data Sources
All specific heat values in this calculator are verified against authoritative scientific sources:
NIST Chemistry WebBook
Standard reference for thermochemical data
https://webbook.nist.gov/chemistry/Last Updated: 2026-02-07
Engineering Toolbox
Specific heat values for common materials
https://www.engineeringtoolbox.com/Last Updated: 2026-02-07
CRC Handbook
Comprehensive chemistry and physics reference
https://hbcp.chemnetbase.com/Last Updated: 2026-02-07
HyperPhysics
Physics concepts and calculations reference
http://hyperphysics.phy-astr.gsu.edu/Last Updated: 2025-12-01
⚠️ Disclaimer
Important: This calculator provides estimates based on standard reference values and should not be used as a substitute for professional engineering or scientific analysis.
- Specific heat values may vary with temperature, pressure, and material purity
- Results are for educational and estimation purposes only
- For critical applications, consult certified material data sheets or perform laboratory measurements
- Material identification is approximate and should be verified through additional testing
- The Dulong-Petit law is an approximation and may not apply to all materials or temperature ranges
What is Specific Heat?
Specific heat capacity (c) is the amount of heat energy required to raise the temperature of one kilogram of a substance by one Kelvin. It is an intensive property, meaning it is independent of the amount of matter present.
Where Q is the heat energy transferred, m is the mass, and ΔT is the temperature change. Specific heat tells us how much energy a substance can store per unit mass when its temperature changes.
Specific Heat vs Heat Capacity
Heat Capacity (C)
Extensive property - depends on mass. Units: J/K
Example: A cup of water has different heat capacity than a bucket of water.
Specific Heat (c)
Intensive property - independent of mass. Units: J/(kg·K)
Example: Water always has specific heat of 4184 J/(kg·K), regardless of amount.
Dulong-Petit Law
The Dulong-Petit law states that at high temperatures, the molar heat capacity of most solid elements is approximately constant and equal to 3R, where R is the universal gas constant.
This law works well for many metals at room temperature and above, but breaks down at very low temperatures where quantum effects become important. The law assumes classical behavior and equal contribution from all vibrational modes.
Limitations:
- Only applies to solids at high temperatures
- Does not account for electronic contributions
- Fails at very low temperatures (quantum regime)
- Works best for monatomic solids
Applications of Specific Heat
Thermal Energy Storage
Materials with high specific heat (like water) are excellent for storing thermal energy. Used in solar thermal systems, building thermal mass, and thermal batteries.
Climate Control
HVAC systems use specific heat calculations to determine heating and cooling loads. Water's high specific heat makes it ideal for heat transfer in radiators and cooling systems.
Cooking & Food Processing
Cooking relies on specific heat to determine cooking times and energy requirements. Water-based foods heat more slowly due to high specific heat, while oils heat faster.
Material Identification
Specific heat can be used to identify unknown materials. By measuring heat transfer and temperature change, the specific heat can be calculated and compared to known values.
Related Calculators
Heat Capacity Calculator
Calculate heat capacity, specific heat capacity, and molar heat capacity. Comprehensive thermodynamics calculator with material database (30+ materials)...
PhysicsLatent Heat Calculator
Calculate latent heat energy, specific latent heat, and mass for phase changes. Comprehensive thermodynamics calculator with substance database (30+...
PhysicsSensible Heat Calculator
Calculate sensible heat for heating and cooling applications. Supports mass-based, volume-based, and air (HVAC) calculations with comprehensive fluid...
PhysicsWatts to Heat Calculator
Calculate heat energy from electrical power (watts), temperature rise for objects, and room heating requirements. Supports comprehensive analysis with...
PhysicsCalorimetry Calculator
Calculate heat transfer, final equilibrium temperature, and energy exchange between objects. Essential for chemistry, physics, engineering, and material...
PhysicsCoefficient of Performance Calculator
Calculate the Coefficient of Performance (COP) for refrigerators, air conditioners, and heat pumps. Compare actual performance to theoretical maximum (Carnot...
Physics