Heat Transfer Calculator Formula

Understand the math behind the heat transfer calculator. Each variable explained with a worked example.

Formulas Used

Heat Energy

heat = mass * specific_heat * delta_t

Heat Energy (kJ)

heat_kj = mass * specific_heat * delta_t / 1000

Variables

VariableDescriptionDefault
massMass(kg)1
specific_heatSpecific Heat Capacity(J/(kg·°C))4186
delta_tTemperature Change(°C)50

How It Works

Heat Transfer (Q = mcDeltaT)

The heat energy needed to change the temperature of a substance depends on its mass, specific heat capacity, and temperature change.

Formula

Q = m * c * DeltaT

where m is mass (kg), c is specific heat capacity (J/(kg·°C)), and DeltaT is the temperature change.

Worked Example

Heating 1 kg of water from 20°C to 70°C (DeltaT = 50°C).

mass = 1specific_heat = 4186delta_t = 50
  1. 01Q = m * c * DeltaT
  2. 02Q = 1 * 4186 * 50
  3. 03Q = 209,300 J
  4. 04Q = 209.3 kJ

Frequently Asked Questions

What is specific heat capacity?

The amount of energy needed to raise 1 kg of a substance by 1°C. Water has one of the highest specific heats at 4186 J/(kg·°C).

Why does water take so long to heat up?

Water has a very high specific heat capacity, meaning it absorbs a large amount of energy per degree of temperature change.

Does this formula work for phase changes?

No. During a phase change (melting, boiling), temperature stays constant. Use heat of fusion or vaporization formulas instead.

Learn More

Guide

Thermodynamics Basics: A Complete Guide

Learn the fundamentals of thermodynamics including the four laws, heat transfer, entropy, enthalpy, and the Carnot cycle. Practical explanations with real-world examples.

Ready to run the numbers?

Open Heat Transfer Calculator