How to Convert Megawatt-Hours to Kiloelectronvolts
To convert an energy measurement from megawatt-hours to kiloelectronvolts, multiply the energy value by the conversion factor. Since one megawatt-hour is equal to 2.2469 × 1025 kiloelectronvolts, you can use this formula:
The energy in kiloelectronvolts is equal to the megawatt-hours multiplied by 2.2469 × 1025.
Using the formula: kiloelectronvolts = megawatt-hours × 2.2469 × 1025
kiloelectronvolts = 5 MWh × 2.2469 × 1025 = 1.1235E+26 keV
Therefore, 5 megawatt-hours equals 1.1235E+26 kiloelectronvolts.
How Many Kiloelectronvolts Are in a Megawatt-Hour?
There are 2.2469 × 1025 kiloelectronvolts in one megawatt-hour.
What Is a Megawatt-Hour?
The megawatt-hour (symbol: MWh) is a unit of energy equal to 1,000 kilowatt-hours, 1,000,000 watt-hours, or 3,600,000,000 joules (3.6 GJ). It is used for measuring utility-scale energy production and consumption. In the power industry, the megawatt-hour is the standard unit for trading electricity on wholesale markets and for measuring power plant output. A typical large coal or natural gas power plant produces 500–4,000 MWh per day, while a large wind turbine (2–3 MW) produces about 10–20 MWh per day depending on wind conditions. Large commercial and industrial electricity consumers use hundreds to thousands of MWh per month. A typical commercial building might consume 50–200 MWh per month, while an industrial facility could consume 1,000–10,000 MWh per month. Wholesale electricity prices are typically quoted in $/MWh (dollars per megawatt-hour). In the US, wholesale prices typically range from $20–$80/MWh, though they can spike much higher during periods of extreme demand or supply shortages.
One megawatt-hour is equal to:
- 3,600,000,000 joules (J)
- 3,600 megajoules (MJ)
- 3.6 gigajoules (GJ)
- 1,000 kilowatt-hours (kWh)
- 1,000,000 watt-hours (Wh)
- 3,412,142 BTU
- 3.412 MMBTU
What Is a Kiloelectronvolt?
The kiloelectronvolt (symbol: keV) is a unit of energy equal to 1,000 electronvolts or approximately 1.602 × 10−16 joules. The prefix “kilo” denotes a factor of 1,000. The keV is the standard unit for expressing energies in X-ray physics, electron microscopy, and nuclear medicine. Medical X-rays typically operate in the range of 20–150 keV, with mammography using 20–30 keV, dental X-rays using 60–70 keV, and chest X-rays using 100–150 keV. In electron microscopy, the accelerating voltage of the electron beam is expressed in keV. Scanning electron microscopes (SEM) typically operate at 1–30 keV, while transmission electron microscopes (TEM) operate at much higher energies, typically 100–300 keV. In nuclear physics, the keV is used to express the energies of low-energy nuclear transitions, X-ray fluorescence lines, and Auger electron energies. Many gamma-ray lines from radioactive decay fall in the keV range, such as the 662 keV gamma ray from cesium-137.
One kiloelectronvolt is equal to:
- 1.602 × 10−16 joules (J)
- 1,000 electronvolts (eV)
- 0.001 megaelectronvolts (MeV)
- 3.827 × 10−17 calories (cal)
- 4.45 × 10−20 watt-hours (Wh)
- 1.519 × 10−19 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.
Megawatt-Hours to Kiloelectronvolts Conversion Table
The following table shows conversions from megawatt-hours to kiloelectronvolts.
| Megawatt-Hours | Kiloelectronvolts (keV) |
|---|---|
| 1.0000E-25 MWh | 2.24694 |
| 2.0000E-25 MWh | 4.49389 |
| 3.0000E-25 MWh | 6.74083 |
| 4.0000E-25 MWh | 8.98777 |
| 5.0000E-25 MWh | 11.2347 |
| 6.0000E-25 MWh | 13.4817 |
| 7.0000E-25 MWh | 15.7286 |
| 8.0000E-25 MWh | 17.9755 |
| 9.0000E-25 MWh | 20.2225 |
| 1.0000E-24 MWh | 22.4694 |
| 2.0000E-24 MWh | 44.9389 |
| 3.0000E-24 MWh | 67.4083 |
| 4.0000E-24 MWh | 89.8777 |
| 5.0000E-24 MWh | 112.347 |
| 6.0000E-24 MWh | 134.817 |
| 7.0000E-24 MWh | 157.286 |
| 8.0000E-24 MWh | 179.755 |
| 9.0000E-24 MWh | 202.225 |
| 1.0000E-23 MWh | 224.694 |
| 2.0000E-23 MWh | 449.389 |
| 3.0000E-23 MWh | 674.083 |
| 4.0000E-23 MWh | 898.777 |
| 5.0000E-23 MWh | 1,123.47 |
| 6.0000E-23 MWh | 1,348.17 |
| 7.0000E-23 MWh | 1,572.86 |
| 8.0000E-23 MWh | 1,797.55 |
| 9.0000E-23 MWh | 2,022.25 |
| 1.0000E-22 MWh | 2,246.94 |