joule per kilogram
One joule of energy per kilogram of material — the SI coherent form of specific energy. It is the quantity behind a fuel's calorific value, a battery's capacity by weight, and the energy a mill spends breaking rock.
Watch out: A joule per kilogram is a very small amount of specific energy, so real figures run to seven or eight digits: diesel is about 45,600,000 J/kg. Every trade that uses this quantity works in a scaled unit for that reason, and the scaled units do not agree with each other — MJ/kg for fuels, Wh/kg for batteries, kWh/t for grinding.
| 1 (Specific energy) | 1 |
| 1 (Specific latent heat) | 1 |
It is simply energy divided by mass, and it matters as its own quantity because almost everything that stores or releases energy is carried, pumped or hauled. The energy per kilogram is what decides whether an aircraft can lift its own fuel or an electric truck its own battery.
About the joule per kilogram
Specific energy answers a question that a total energy cannot: is it worth carrying? A litre of diesel and a kilogram of lithium-ion cells both store energy, and the useful comparison is per kilogram — about 45.6 MJ/kg for the diesel and about 0.9 MJ/kg for the cells, a factor of roughly fifty.
That factor is the whole reason electric aircraft are hard and electric cars are not. A car carries its battery on wheels and the weight costs rolling resistance; an aircraft carries it against gravity for the whole flight, and a fuel that burns off gets lighter as it goes while a battery does not.
The conversions worth having: , and exactly. The comminution unit is the neat one: exactly, because a kilowatt-hour is 3.6 MJ and a tonne is 1000 kg.
One thing this unit cannot tell you is how fast the energy comes out. A battery and a capacitor can hold comparable energy per kilogram and deliver it over hours or over milliseconds — that is specific POWER, a different quantity, and the two trade against each other in almost every storage technology.
The joule per kilogram is the SI unit of specific latent heat, the energy absorbed or released per kilogram when a substance changes phase at constant temperature. It is the coherent SI combination, so the factor of 1 is exact. The same unit serves for latent heat of fusion, vaporisation and sublimation.
One joule per kilogram in every specific energy unit
| 1 | joule per kilogram (J/kg)this unit | |
| 0.001 | kilojoule per kilogram (kJ/kg) | |
| 0.000001 | megajoule per kilogram (MJ/kg) | |
| 0.000277778 | watt-hour per kilogram (Wh/kg) | |
| 2.77778e-07 | kilowatt-hour per kilogram (kWh/kg) | |
| 0.000277778 | kilowatt-hour per tonne (kWh/t) | |
| 0.000429923 | BTU per pound (BTU/lb) | |
| 0.000251996 | kilowatt-hour per short ton (kWh/ton) |
One joule per kilogram in every specific latent heat unit
| 1 | joule per kilogram (J/kg)this unit | |
| 0.334553 | foot pound-force per pound (ft·lbf/lb) | |
| 0.001 | kilojoule per kilogram (kJ/kg) | |
| 0.001 | joule per gram (J/g) | |
| 0.000429923 | BTU per pound (BTU/lb) | |
| 0.000277778 | watt-hour per kilogram (W·h/kg) | |
| 0.000239006 | calorie per gram (cal/g) | |
| 0.000239006 | kilocalorie per kilogram (kcal/kg) | |
| 0.000001 | megajoule per kilogram (MJ/kg) | |
| 2.77778e-07 | kilowatt-hour per kilogram (kW·h/kg) |