Converters & UnitsExact factors

Energy Converter

A food “Calorie” with a capital C is a thousand of the calories in a physics textbook. That factor of 1000 is the single most common energy-unit error, and it is built into nutrition labelling worldwide.

Energy to Convert

Nutrition, electricity and heating units are all here — they are the same quantity.

CONVERTED VALUE

All units

The same quantity expressed every other way.

Exact: 1 kWh = 3.6 MJ · 1 kcal = 4184 J · 1 BTU(IT) = 1055.05585262 J · 1 therm = 100 000 BTU.

Calorie with a capital C

The calorie of chemistry is the energy needed to warm one gram of water by one degree Celsius — about 4.184 joules. The Calorie on a nutrition label is a kilocalorie: a thousand of those. A 2000 Calorie daily intake is 2,000,000 small calories, or 8.368 megajoules. European labels sidestep the whole mess by printing kilojoules first, which is why a chocolate bar shows “1100 kJ / 263 kcal”.

Your electricity bill is an energy bill, not a power bill

A kilowatt is a rate; a kilowatt-hour is an amount. Running a 2 kW heater for 30 minutes uses 1 kWh. Utilities bill for kWh because that is what they actually deliver, and one kWh is exactly 3.6 megajoules. A single kWh is roughly the energy in 860 food Calories — about a large restaurant meal, which is a useful sanity check on how much energy a human body actually handles.

BTU and therms: the heating units

A BTU is the energy to raise one pound of water by one degree Fahrenheit. It survives in American heating, air conditioning and gas billing. A therm is exactly 100,000 BTU, and US gas bills are usually in therms or CCF. Air-conditioner capacity quoted as “12,000 BTU” is really 12,000 BTU per hour — a power rating with the “per hour” dropped, equal to about 3.5 kW. The missing time unit causes constant confusion.

Why there is more than one BTU

Because water's heat capacity varies slightly with temperature, several BTU definitions exist that differ by a fraction of a percent. This converter uses the International Table BTU (1055.05585262 J), the one used in engineering and energy billing.

Frequently Asked Questions

How many kJ is 1 food Calorie?
4.184 kJ. A food Calorie is a kilocalorie, so 2000 Calories is 8368 kJ or about 8.4 MJ.
What is a kilowatt-hour in joules?
Exactly 3,600,000 joules, or 3.6 MJ. A kilowatt is 1000 joules per second, and an hour is 3600 seconds.
Is a 12,000 BTU air conditioner rated in energy or power?
Power — the rating is 12,000 BTU per hour, about 3.5 kW of cooling. The "per hour" is almost always dropped, which makes the number look like an energy figure.
Why do BTU values differ slightly between sources?
There are several BTU definitions that differ by under 0.1%, because water's heat capacity changes with temperature. This tool uses the International Table BTU, the standard in energy billing.
Where these numbers come from

Sources

Official publications only. Links open the original document in a new tab.