Specific & Latent Heat
Q = mcΔT for energy, mass, specific heat or temperature change, Q = mL for melting and boiling, the combined path, and the time at a given power.
The energy in J, kJ, cal, kcal, Wh, kWh and BTU (or the mass, capacity or temperature change you solved for), a stage-by-stage breakdown for a phase change, and the time at your power and efficiency.
Example: 2 kg of water from 20 to 100 °C at 4 186 J/(kg·K) takes 670 kJ; boiling it away adds 2 260 kJ per kg — heating 1 kg to steam at 120 °C takes 2 635 kJ, and 86 % of that is the phase change alone.
Heat to change temperature;
heat to change phase.
The two equations, how the combined path adds up, and where the constants come from.
Sensible heat
Q = m·c·ΔT: the energy to change a mass by a temperature difference, with c the specific heat capacity in J/(kg·K). A change of one kelvin equals a change of one degree Celsius, so ΔT is the same number either way. The page solves the equation for whichever of the four you leave out, which makes it both a "how much energy" tool and a calorimetry tool: heat a sample with a known energy, measure the rise, and read off its specific heat.
Latent heat
Q = m·L: the energy a phase change takes at constant temperature, with L the latent heat of fusion (melting) or vaporisation (boiling). All of that energy goes into breaking bonds rather than raising the temperature, so a thermometer in the mixture reads the transition temperature until the change is complete. The numbers are large — boiling water away takes about five times the energy of heating it from freezing to boiling — which is why steam burns are so much worse than hot-water burns and why sweating cools so effectively.
The combined path and the constants
Heating something through a phase change is three stages: m·c·ΔT to the transition, m·L for the change, then m·c·ΔT beyond it with the new phase's capacity (steam's is about half liquid water's, so both are asked for). No material table is stored: c and L come from your data sheet, because c varies with temperature and, for gases, with whether pressure or volume is held constant. The heating time assumes the power reaches the material at the efficiency you give, with no loss to the surroundings — real kettles, pots and furnaces lose more. Nothing leaves the browser; the same four anonymous usage counts as the rest of the site apply.
SOURCES
- Q = m·c·ΔT (sensible heat) and Q = m·L (latent heat); c and L are your inputs, from the material data sheet — none is stored; 1 cal = 4.184 J, 1 BTU = 1 055.056 J, 1 kWh = 3.6 MJ
Last reviewed 22 September 2026. How results are checked: How we verify.