Heat Capacity Calculator

Calculate heat capacity, specific heat, and thermal energy transfer

Heat Capacity Calculation

Object Mass

Mass of the object or substance

Substance (Optional)

Select a common substance to auto-fill specific heat capacity

Specific Heat Capacity

Specific heat capacity of the material

Results

987.42
Heat Capacity (S)
J/K

Calculation Formula

S = c × m
Specific Heat (c):
4184 J/(kg·K)
Mass (m):
0.236 kg
Heat Capacity (S):
987.42 J/K

Example Calculation

Water Heat Capacity

Given:

• Mass of water: 236 g = 0.236 kg

• Specific heat of water: 4,184 J/(kg·K)

Find: Heat capacity of the water

Solution

Using the formula: S = c × m

S = 4,184 J/(kg·K) × 0.236 kg

S = 987.4 J/K

This means 987.4 J of energy is needed to raise the water temperature by 1 K

Key Concepts

Heat Capacity

Extensive property (depends on mass)

Specific Heat

Intensive property (material characteristic)

Units

J/K or cal/°C

Formula

S = c × m

Common Specific Heats

Water4,184 J/(kg·K)
Aluminum897 J/(kg·K)
Copper385 J/(kg·K)
Iron449 J/(kg·K)
Air1,005 J/(kg·K)
Gold129 J/(kg·K)

Understanding Heat Capacity

What is Heat Capacity?

Heat capacity (or thermal capacity) is the amount of heat energy required to raise the temperature of an object by one degree. It depends on both the mass of the object and the material it's made from.

Extensive vs Intensive Properties

Heat capacity is an extensive property because it depends on the amount of material. Specific heat capacity is an intensive property because it only depends on the type of material, not the amount.

Mathematical Relationships

Heat Capacity:

S = c × m

Heat Transfer:

ΔQ = S × ΔT

Alternative Form:

ΔQ = c × m × ΔT

Practical Applications

Engineering

Thermal management in electronics, HVAC system design, and heat exchanger calculations

Biology

Understanding body temperature regulation and thermal homeostasis in living organisms

Environmental Science

Climate modeling, ocean thermal dynamics, and energy storage systems

Why Does Water Have High Heat Capacity?

Water's high heat capacity (4,184 J/(kg·K)) is due to hydrogen bonding between molecules. Much of the supplied heat energy goes into breaking these bonds rather than increasing molecular motion, making water an excellent thermal buffer for biological and environmental systems.