How to Convert Therms to Watt-Hours
To convert an energy measurement from therms to watt-hours, multiply the energy value by the conversion factor. Since one therm is equal to 29,307.11 watt-hours, you can use this formula:
The energy in watt-hours is equal to the therms multiplied by 29,307.11.
Using the formula: watt-hours = therms × 29,307.11
watt-hours = 5 thm × 29,307.11 = 146,536 Wh
Therefore, 5 therms equals 146,536 watt-hours.
How Many Watt-Hours Are in a Therm?
There are 29,307.11 watt-hours in one therm.
What Is a Therm?
The therm (symbol: thm) is a unit of heat energy equal to 100,000 British thermal units (BTU), or approximately 105,506,000 joules (105.5 MJ). It is primarily used in the United States for measuring and billing natural gas consumption. In the US natural gas industry, residential and commercial gas bills are typically calculated in therms. One therm is approximately equal to the energy content of 100 cubic feet (about 2.83 cubic metres) of natural gas, though the exact equivalence depends on the gas composition and heating value. A typical US household that uses natural gas for heating, cooking, and hot water consumes about 500–1,000 therms per year, with higher consumption during winter months for heating. Natural gas prices are often quoted in dollars per therm on utility bills, typically ranging from $0.50–$2.00 per therm. The therm was legally defined in the UK by the Gas Act 1972 as exactly 100,000 BTU. While the UK has since moved to measuring gas consumption in kilowatt-hours, the therm remains the standard billing unit in the United States.
One therm is equal to:
- 105,505,585 joules (J)
- 105.506 megajoules (MJ)
- 29.3071 kilowatt-hours (kWh)
- 100,000 BTU
- 0.1 MMBTU
- 25,216,442 calories (cal)
- 25,216 kilocalories (kcal)
What Is a Watt-Hour?
The watt-hour (symbol: Wh) is a unit of energy equal to the energy delivered by one watt of power sustained for one hour. It equals exactly 3,600 joules (since 1 hour = 3,600 seconds). Watt-hours are commonly used for expressing the capacity of batteries in portable electronics and small energy systems. For example, a smartphone battery might have a capacity of 10–20 Wh, a laptop battery 50–100 Wh, and a portable power bank 20–80 Wh. In small-scale renewable energy systems, watt-hours are used to measure daily energy production. A small solar panel rated at 100 watts might produce 400–600 Wh of energy per day, depending on location and weather conditions. The watt-hour provides an intuitive connection between power (watts) and energy. If you know the power consumption of a device in watts and the time it runs in hours, their product gives the energy consumed in watt-hours. For example, a 60 W light bulb running for 5 hours consumes 300 Wh of energy.
One watt-hour is equal to:
- 3,600 joules (J)
- 3.6 kilojoules (kJ)
- 860.421 calories (cal)
- 0.860421 kilocalories (kcal)
- 0.001 kilowatt-hours (kWh)
- 3.412 BTU
Understanding Energy Units
Energy is a fundamental physical quantity that represents the capacity to do work or produce heat. It is conserved in all physical processes (the first law of thermodynamics) and can be converted from one form to another — mechanical, thermal, electrical, chemical, nuclear, and radiant energy are all interconvertible.
The wide variety of energy units reflects the historical development of different branches of science and engineering, each of which developed its own preferred units before the adoption of the International System of Units (SI).
Major Unit Families
- SI / Metric units: The joule (J) is the SI unit of energy, with standard metric prefixes (kJ, MJ, GJ). The watt-second (Ws) is identical to the joule. Watt-hours (Wh), kilowatt-hours (kWh), and megawatt-hours (MWh) combine power (watts) with time.
- Calorie-based units: The calorie (cal), kilocalorie (kcal), and megacalorie (Mcal) originated in thermochemistry. The kilocalorie is widely used in nutrition as the “food Calorie.”
- British / Imperial units: The British thermal unit (BTU) and its multiples (MMBTU, therm, quad) are used primarily in the US for HVAC, natural gas, and national energy statistics.
- Atomic-scale units: The electronvolt (eV) and its multiples (keV, MeV) are used in atomic, nuclear, and particle physics for the extremely small energies of individual particles.
Energy in Everyday Life
- Nutrition: Food energy is measured in kilocalories (kcal) or kilojoules (kJ). A typical adult needs about 2,000–2,500 kcal (8,400–10,500 kJ) per day.
- Electricity: Household electricity consumption is measured in kilowatt-hours (kWh). An average US home uses about 900–1,000 kWh per month.
- Heating: Natural gas consumption is measured in therms or MMBTU. A US home might use 500–1,000 therms per year for heating.
- Transportation: Gasoline contains about 120,000 BTU or 34 MJ per litre. One gallon of gasoline contains about 33.7 kWh of energy.
Converting Between Energy Units
All energy units measure the same physical quantity, so converting between them is simply a matter of multiplying by the appropriate conversion factor. The factor is the ratio of how many joules one unit of the source contains divided by how many joules one unit of the target contains.
For very large or very small conversion factors, results are often expressed in scientific notation (e.g., 6.2415 × 1018 eV per joule). This is particularly common when converting between atomic-scale units (electronvolts) and everyday units (joules, BTU, calories).
Tips for Energy Conversions
- The joule and watt-second are exactly the same unit (1 J = 1 Ws). The different names are used in different contexts.
- For SI metric conversions (J, kJ, MJ, GJ), each prefix step is a factor of 1,000. The same applies to cal/kcal/Mcal, Wh/kWh/MWh, and eV/keV/MeV.
- The kilocalorie (kcal) used in nutrition is often written as “Calorie” with a capital C. When a food label says 200 Calories, it means 200 kcal = 200,000 cal.
- One kilowatt-hour equals exactly 3,600,000 joules (1 kW × 3,600 seconds). This is useful for converting between electrical and metric energy units.
- One BTU ≈ 1,055 joules ≈ 252 calories. These rough equivalences are useful for quick mental conversions.
- One therm = 100,000 BTU exactly. One MMBTU = 1,000,000 BTU exactly. One quad = 1015 BTU exactly.
- The electronvolt is an extremely small unit compared to everyday energy: 1 eV ≈ 1.6 × 10−19 J. It is used only for atomic-scale energies.
- To calculate electricity cost, multiply kWh × price per kWh. To calculate gas heating cost, multiply therms × price per therm.
Therms to Watt-Hours Conversion Table
The following table shows conversions from therms to watt-hours.
| Therms | Watt-Hours (Wh) |
|---|---|
| 1 thm | 29,307.1 |
| 2 thm | 58,614.2 |
| 3 thm | 87,921.3 |
| 4 thm | 117,228 |
| 5 thm | 146,536 |
| 6 thm | 175,843 |
| 7 thm | 205,150 |
| 8 thm | 234,457 |
| 9 thm | 263,764 |
| 10 thm | 293,071 |
| 11 thm | 322,378 |
| 12 thm | 351,685 |
| 13 thm | 380,992 |
| 14 thm | 410,299 |
| 15 thm | 439,607 |
| 16 thm | 468,914 |
| 17 thm | 498,221 |
| 18 thm | 527,528 |
| 19 thm | 556,835 |
| 20 thm | 586,142 |
| 21 thm | 615,449 |
| 22 thm | 644,756 |
| 23 thm | 674,063 |
| 24 thm | 703,371 |
| 25 thm | 732,678 |
| 26 thm | 761,985 |
| 27 thm | 791,292 |
| 28 thm | 820,599 |
| 29 thm | 849,906 |
| 30 thm | 879,213 |
| 31 thm | 908,520 |
| 32 thm | 937,827 |
| 33 thm | 967,135 |
| 34 thm | 996,442 |
| 35 thm | 1.0257E+6 |
| 36 thm | 1.0551E+6 |
| 37 thm | 1.0844E+6 |
| 38 thm | 1.1137E+6 |
| 39 thm | 1.1430E+6 |
| 40 thm | 1.1723E+6 |