Energy conversion family

Energy unit conversions

Energy and work are derived quantities with dimension M L² T⁻²; the coherent SI unit is the joule (J), equal to N·m or kg·m²·s⁻².

Five named units

Unit and factor reference

Base: J
Factors are stored as decimal strings relative to joule (J).
UnitSymbolFactor to baseRelationshipDefinition and variant
jouleJ1defined

The joule is the coherent SI unit for energy, work, and amount of heat: 1 J = 1 N·m = 1 kg·m²·s⁻².

The base factor is exactly 1 by the family base-unit choice.

kilojoulekJ1000exact

A kilojoule is the SI decimal multiple formed with kilo: 1 kJ = 1000 J.

The decimal-prefix relationship is exact.

kilowatt-hourkWh3600000exact

A kilowatt-hour is the energy transferred by one kilowatt for one hour: 1 kWh = 1000 J/s × 3600 s = 3,600,000 J.

Named variant: Energy unit; not kilowatt per hour.

The relationship is exact.

thermochemical caloriecal_th4.184defined

The thermochemical calorie, cal_th, is exactly 4.184 J.

Named variant: Thermochemical calorie (cal_th); not calorie_IT, mean calorie, temperature-specific calorie, or dietary Calorie (kilocalorie).

The terminating base factor is exact for the thermochemical variant.

International Table British thermal unitBtu_IT1055.05585262defined

The International Table British thermal unit, Btu_IT, is exactly 1.05505585262 kJ, or 1055.05585262 J.

Named variant: International Table Btu (Btu_IT); not Btu_th, mean Btu, or a temperature-specific Btu variant.

The terminating base factor is exact for the International Table variant.

Every ordered pair

All 20 energy calculators

Evidence and review status

This family is machine-reviewed-pending-human. Automated checks verify structure, factor parity and source references; they do not constitute human or specialist approval.

Family assumptions and limits

  • This converter treats energy as a non-negative scalar amount; it does not model signed work, heat-transfer direction, efficiency, power, or time.
  • Calorie means the thermochemical calorie (cal_th), exactly 4.184 J, not the International Table calorie or dietary Calorie/kilocalorie.
  • Btu means the International Table British thermal unit (Btu_IT), exactly 1055.05585262 J, not thermochemical, mean, 39 °F, 59 °F, or 60 °F variants.

Authoritative references