Beginner

Thermal Energy Calculator — Q = mcΔT and Q = mL

Find the heat transferred to or from a substance — either for a temperature change (sensible heat Q = mcΔT) or for a phase change such as melting or boiling (latent heat Q = mL). Results are shown in joules, kilojoules, kilocalories, and kilowatt-hours.

Heat type

kg

J/(kg·K)

Water ≈ 4186 J/(kg·K), steel ≈ 490, aluminium ≈ 900, air ≈ 1005

K

Positive = heating, negative = cooling. 1 K = 1 °C change.
Thermal energy Q
83,720J

Q = m × c × ΔT

Q (J)
83,720 J
Q (kJ)
83.72 kJ
Q (kcal)
20.0096 kcal
Q (kWh)
0.0233 kWh
0%
100%
0%
Mass m (kg)
Specific heat c (J/kg·K)
|ΔT| (K)
Relative magnitude of the three factors in Q = m × c × ΔT
Step by step
  1. 1

    Intermediate m × c

    1 × 4,186 = 4,186
  2. 2

    Thermal energy Q = (m × c) × ΔT

    4,186 × 20 = 83,720
Results are estimates for general information only and are not professional advice — always verify important results independently before relying on them. Read the full disclaimer.
Quick answer

How does this calculator work?

Thermal energy for a temperature change is Q = m·c·ΔT (mass × specific heat × temp change). For a phase transition at constant temperature it is Q = m·L (mass × specific latent heat). Enter mass, the appropriate material constant, and the temperature change or phase-change type to get Q in joules, kJ, kcal, and kWh.

Formula
Sensible: Q = m · c · ΔT • Latent (phase change): Q = m · L
How this is calculated

When a substance absorbs or releases heat without changing phase, its temperature rises or falls. The sensible heat formula Q = m·c·ΔT calculates how much energy (Q) is transferred, given mass m in kilograms, specific heat capacity c in J/(kg·K), and temperature change ΔT in kelvin (numerically equal to °C difference). A positive ΔT means heating; a negative ΔT means cooling and Q comes out negative.

During a phase change (melting, freezing, boiling, or condensing) the temperature stays constant while energy goes into breaking or forming molecular bonds. The latent heat formula Q = m·L uses the specific latent heat L in J/kg for the particular material and transition. For water, the latent heat of fusion (ice ↔ liquid) is about 334 000 J/kg, and the latent heat of vaporisation (liquid ↔ steam at 100 °C) is about 2 260 000 J/kg.

The calculator converts the result to kJ, kcal, and kWh for practical comparison. Specific heat values are temperature-dependent in real materials; the values given in the hint (e.g. water 4186 J/kg·K) apply near room temperature or 15 °C.

Frequently asked questions

Sensible heat causes a measurable temperature change (Q = mcΔT) and can be felt. Latent heat is energy absorbed or released during a phase change (melting, boiling) where temperature stays constant — the energy breaks or forms intermolecular bonds rather than speeding up molecules.

Water molecules form hydrogen bonds that absorb considerable energy to break. Its specific heat capacity (~4186 J/kg·K) is among the highest of common liquids, which is why large bodies of water moderate coastal climates and why water is widely used as a coolant.

Yes. A temperature difference of 1 K equals a difference of 1 °C, so ΔT is numerically identical in both scales. The formula is the same whether you subtract in kelvin or in Celsius.

Also known as

thermal energy calculator
q equals mc delta t
sensible heat calculator
latent heat calculator
specific heat energy joules
heat transferred phase change
calorimetry heat formula
mcdeltat calculator

APA

TG we-Calculate Editorial Team. (2026). Thermal Energy Calculator — Q = mcΔT and Q = mL [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/thermal-energy-calculator

Chicago

TG we-Calculate Editorial Team. "Thermal Energy Calculator — Q = mcΔT and Q = mL." TG we-Calculate. 2026. https://we-calculate.com/calculator/thermal-energy-calculator.

IEEE

TG we-Calculate Editorial Team, "Thermal Energy Calculator — Q = mcΔT and Q = mL," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/thermal-energy-calculator

BibTeX

@misc{wecalculate_thermal_energy_calculator, title = {Thermal Energy Calculator — Q = mcΔT and Q = mL}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/thermal-energy-calculator}}, year = {2026}, note = {TG we-Calculate} }

Did this calculator help you?