Energy and Work Unit Converter
Convert between energy and work units including joules, kilowatt-hours, calories, BTU, electronvolts, and more.
Understanding Energy and Work
What is a Joule?
The joule (J) is the SI unit of energy and work. One joule is defined as the amount of energy transferred when one newton of force moves an object one meter.
Energy = Power × Time
Energy and power are related by time. If you know the power consumption (watts) and duration (seconds or hours), you can calculate energy.
Example: A 100-watt light bulb running for 10 hours uses 100 W × 10 h = 1,000 Wh = 1 kWh of energy.
Kilowatt-hours (kWh)
The kilowatt-hour is the standard unit for electricity billing. One kWh equals 3.6 megajoules (3,600,000 J). A typical US household uses about 30 kWh per day, or 900 kWh per month.
Calorie vs calorie: A Critical Distinction
The word "calorie" has two different meanings depending on capitalization, which creates confusion in nutrition and science:
Small calorie (cal)
Also called: gram calorie, thermochemical calorie
Definition: Energy to raise 1 gram of water by 1°C
Value: 1 cal = 4.184 J
Large Calorie (Cal)
Also called: kilocalorie (kcal), food Calorie
Definition: Energy to raise 1 kilogram of water by 1°C
Value: 1 Cal = 1 kcal = 1,000 cal = 4,184 J
British Thermal Unit (BTU)
The BTU is commonly used in HVAC and heating systems in the United States. One BTU is approximately 1,055 joules. Air conditioner capacity is rated in BTU/hr (e.g., 12,000 BTU/hr = 1 ton of cooling).
TNT Equivalent
The ton of TNT is a unit used to describe the energy released in explosions. It's defined as exactly 4.184 gigajoules (1 billion calories). Nuclear weapons are measured in kilotons (thousands of tons) or megatons (millions of tons) of TNT equivalent.
Electronvolt (eV)
The electronvolt is the standard energy unit in atomic and particle physics. One eV is the kinetic energy gained by an electron accelerated through a potential difference of one volt.
X-rays: keV range • Gamma rays: MeV range • Particle accelerators: GeV-TeV range
Energy Conservation
The First Law of Thermodynamics states that energy cannot be created or destroyed, only converted from one form to another. When you lift an object, chemical energy from your muscles converts to gravitational potential energy. When it falls, that converts to kinetic energy, then to heat and sound upon impact.
Energy Density Comparison
| Fuel/Source | Energy Density | Notes |
|---|---|---|
| Hydrogen (compressed) | 142 MJ/kg | Highest chemical fuel by mass |
| Gasoline | 46 MJ/kg | 32 MJ/L by volume |
| Lithium-ion battery | 0.4-0.9 MJ/kg | Rechargeable, improving |
| TNT | 4.6 MJ/kg | Explosive chemical energy |
| Uranium-235 (fission) | 88,000,000 MJ/kg | Nuclear energy, million times greater |
Common Fuel Energy Content
- Gasoline: ≈ 46 MJ/kg or ≈ 120 MJ/gallon
- Diesel: ≈ 45 MJ/kg or ≈ 130 MJ/gallon (denser than gasoline)
- Natural gas: ≈ 55 MJ/kg or ≈ 37 MJ/m³
- Coal (bituminous): ≈ 24-35 MJ/kg
- Wood (dry): ≈ 16 MJ/kg
Human Energy Expenditure
- Basal metabolic rate: ≈ 1,400-1,800 Cal/day (5.9-7.5 MJ/day)
- Walking (moderate pace): ≈ 280 Cal/hour (1.17 MJ/hour)
- Running (6 mph): ≈ 600 Cal/hour (2.51 MJ/hour)
- Cycling (moderate): ≈ 400 Cal/hour (1.67 MJ/hour)
Most Common Conversions
| Conversion | Example Result |
|---|---|
| Gigajoules to Joules (GJ to J) | 1 GJ = 1,000,000,000 J |
| Joules to Gigajoules (J to GJ) | 1,000,000,000 J = 1 GJ |
| Joules to Kilowatt-hours (J to kWh) | 3,600,000 J = 1 kWh |
| Kilowatt-hours to Joules (kWh to J) | 1 kWh = 3,600,000 J |
| Kilowatt-hours to Gigajoules (kWh to GJ) | 1 kWh = 0.0036 GJ |
| Gigajoules to Kilowatt-hours (GJ to kWh) | 1 GJ = 277.778 kWh |
| Megajoules to Nutrition Calories (MJ to Cal) | 1 MJ = 239.006 Cal |
| Nutrition Calories to Megajoules (Cal to MJ) | 1 Cal = 0.004184 MJ |
Quick Reference Cards
Electrical Energy
Food Energy
Heating/Cooling
Mechanical Work
Energy Examples
AA Battery
Chocolate Bar
Gallon of Gasoline
Ton of TNT
Lightning Bolt
Hiroshima Bomb
Sun's Annual Output
Observable Universe
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