Sensible & Latent Heat Calculator

Enter mass, material and temperature change to get sensible heat in kJ/kWh/BTU — with the freeze and boil latent heats of water shown for comparison.

Sensible & Latent Heat Calculator inputs

Last updated: 2026-09-28

How the calculation works

  • Sensible heat is mass × specific heat × temperature change — the energy that moves the thermometer.
  • For water, the latent rows show the energy of phase change: 334 kJ/kg to freeze, 2257 to boil.
  • kWh and BTU conversions make the figure comparable with energy bills and equipment ratings.

Formula

Q = m · c · ΔT        (sensible, no phase change)
Formula variables
SymbolMeaningUnit
QHeat added or removedkJ
cSpecific heat capacitykJ/kg·K

Worked example

A 150 L (150 kg) hot-water tank from 15 to 65 °C: Q = 150 × 4.186 × 50 = 31,400 kJ = 8.7 kWh. Boiling that tank dry instead needs 150 × 2257 = 338,600 kJ — 11× more. Evaporative coolers and cooling towers exploit exactly this ratio.

Interpreting the result

Sensible heat moves the thermometer; latent heat moves the phase. Water's numbers explain most of HVAC: air conditioning spends much of its energy condensing moisture (latent), not cooling air (sensible) — and a kWh is 3600 kJ, so the tank above stores what a 2 kW element delivers in 4.4 hours. Thermal mass (concrete, water) buffers temperature swings because of its high c × density product.

Assumptions

  • Specific heats at room temperature; c varies mildly with temperature.
  • No phase change within the entered temperature span (sensible only).

Limitations

  • Latent heats shown only for water at 1 atm (334/2257 kJ/kg).
  • Mixtures and moist air need psychrometric treatment, not a single c.

Frequently asked questions

What is the difference between sensible and latent heat?

Sensible heat changes temperature (you can feel it with a thermometer); latent heat changes phase at constant temperature — melting ice or condensing steam. Water's latent heats are 80× and 540× the energy of heating it 1 °C.

How many kWh to heat a water tank?

kWh = litres × ΔT ÷ 860 roughly (water). A 150 L tank over 50 °C: ~8.7 kWh — multiply by your rate for the cost per heat-up.

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Technical references