Energy Converter Calculator

One kilowatt-hour is 3,600,000 joules, or about 3412.142 International Table BTU. A load drawing a constant 100 watts for 10 hours consumes that amount. A furnace rating in BTU per hour and an electric-heater rating in kilowatts are power measurements; first choose the same operating duration to compare energy.

The converter changes the energy unit and does not assume equal appliance efficiency.

Energy Converter Calculator: inputs

Calculated result
Converted value3,412.1
1 unit of "from" in "to" units3,412.1

Energy Converter Calculator: Energy to convert sensitivity

Energy Converter Calculator: Energy to convert and Converted value5 calculations vary the “Energy to convert” input while holding the other entered inputs constant.0.82,729.70.93,070.913,412.11.13,753.41.24,094.6

Enter the value and choose from joules, kilojoules, kilocalories, watt-hours, kilowatt-hours, BTU and foot-pounds. Take the value from an electric bill in kilowatt-hours, a food label in kilocalories, or a heater or furnace rating in BTU. One kilowatt-hour equals 3.6 million joules, and a food Calorie is a kilocalorie.

Use the same unit for energy, not power: a kilowatt measures the rate of using energy.

Energy Converter: worked example

Energy to convert1
Starting unitKilowatt-hours
Requested unitBTU (IT)
Converted value3,412.1
1 unit of "from" in "to" units3,412.1

Energy Converter: formula

Result = value × (from-unit factor ÷ to-unit factor), factors relative to joules

NIST Handbook 44: Units and Systems of Measurement

Common error: Confusing the food Calorie with the small calorie. A food Calorie is a kilocalorie, a thousand times the small one, and mixing them is a thousandfold error.

Energy and power are different: watts and kilowatts are rates, and kilowatt-hours are amounts. Efficiency matters in practice, since a furnace at 95% efficiency delivers less than its fuel's rating. BTU has several slightly different definitions, and the tool uses the international table value.

Units for heating and cooling capacity, such as tons, are not included.

Energy Converter: changing Energy to convert

Energy to convertConverted value1 unit of "from" in "to" units
0.82,729.73,412.1
0.93,070.93,412.1
1 (example)3,412.13,412.1
1.13,753.43,412.1
1.24,094.63,412.1

Energy Converter: compare input ranges

InputTested fromToConverted value: low inputConverted value: high inputSwing
Starting unitJoulesFoot-pounds0.000950.001290.00034 (100%)
Requested unitJoulesFoot-pounds3,600,0002,655,223.7944,776.3 (105506%)
Energy to convert0.91.13,070.93,753.4682.4 (20%)

Energy Converter: individual input comparisons

InputValueConverted value1 unit of "from" in "to" units
Energy to convert0.82,729.73,412.1
0.93,070.93,412.1
13,412.13,412.1
1.13,753.43,412.1
1.24,094.63,412.1
Starting unitJoules0.000950.00095
Kilojoules0.9480.948
Kilocalories (food Calories)44
Watt-hours3.43.4
Kilowatt-hours3,412.13,412.1
BTU (IT)11
Foot-pounds0.001290.00129
Requested unitJoules3,600,0003,600,000
Kilojoules3,6003,600
Kilocalories (food Calories)860.4860.4
Watt-hours1,0001,000
Kilowatt-hours11
BTU (IT)3,412.13,412.1
Foot-pounds2,655,223.72,655,223.7

Energy Converter: which assumptions move the result?

Energy Converter: Converted value as Starting unit changesConverted value starts at 0.00095. Moving Starting unit from Joules to Foot-pounds changes it to 0.00129, with Energy to convert 1; Requested unit BTU (IT) kept fixed.Joules0.00095Kilojoules0.948Kilocalories (foodCalories)4Watt-hours3.4Kilowatt-hours3,412.1BTU (IT)1Foot-pounds0.00129
Chart quantityDisplayed settings
Starting unitJoules → Foot-pounds
Converted value0.00095 → 0.00129
Energy to convert1
Requested unitBTU (IT)
Energy Converter: Converted value as Requested unit changesConverted value starts at 3,600,000. Moving Requested unit from Joules to Foot-pounds changes it to 2,655,223.7, with Energy to convert 1; Starting unit Kilowatt-hours kept fixed.Joules3,600,000Kilojoules3,600Kilocalories (foodCalories)860.4Watt-hours1,000Kilowatt-hours1BTU (IT)3,412.1Foot-pounds2,655,223.7
Chart quantityDisplayed settings
Requested unitJoules → Foot-pounds
Converted value3,600,000 → 2,655,223.7
Energy to convert1
Starting unitKilowatt-hours

Energy Converter: values and definitions

Quantity and definitionValue used
Energy to convert1
Starting unit — Unit to convert from.Kilowatt-hours
Requested unit — Unit to convert to.BTU (IT)
Converted value3,412.1
1 unit of "from" in "to" units3,412.1

Unit Conversion calculators: Pressure Converter Calculator, Power Converter Calculator, Height Converter Calculator, Angle Converter Calculator, Data Rate Converter Calculator, Force Converter Calculator.

Energy shows up in different units depending on where you look: joules in science, kilocalories on food labels, kilowatt-hours on the electric bill, BTU on furnaces. They measure the same thing. One kilowatt-hour is 3.6 million joules, about 3,412 BTU and roughly 860 food Calories, so a snack and a heater rating can be compared directly once both are in one unit.

Reference values: one food Calorie is 4.184 kilojoules, one kilowatt-hour is 3.6 megajoules, and one BTU is about 1.055 kilojoules. A 2,000 Calorie diet is about 8.4 megajoules, or roughly 2.3 kilowatt-hours. The EPA counts a gallon of gasoline as 33.7 kilowatt-hours when it rates electric cars in miles per gallon equivalent, and a 100 watt bulb left on for ten hours uses exactly 1 kilowatt-hour, or 3.6 megajoules.

Check which BTU is meant. The International Table BTU used here differs slightly from other definitions, though not enough to matter for household figures.

Convert power on the power converter, temperature on the temperature converter, and pressure on the pressure converter. The watts to amps and voltage drop calculators cover electric loads, and the calories burned page uses food energy. The degree days calculator relates heating energy to weather.

Can I enter a furnace’s BTU-per-hour rating directly as BTU?

Only after multiplying by an operating duration in hours. A rate is not an amount of energy. Delivery efficiency and cycling can also change the heat delivered.

Does one kilocalorie equal one food Calorie?

Yes under the thermochemical energy convention used here: one kilocalorie is 4184 joules. A lowercase small calorie is one thousandth of that amount.

How many BTU are in a kilowatt-hour?

About 3,412 BTU. One kilowatt-hour equals 3.6 million joules.

Is a food Calorie the same as a calorie?

A food Calorie, written with a capital C, equals a kilocalorie, or 1,000 small calories, about 4,184 joules.

What is the difference between kW and kWh?

A kilowatt is a rate of using energy, and a kilowatt-hour is the amount used when running one kilowatt for an hour.