Understanding Electronvolts to Gigawatt-hours Conversion
An electronvolt (eV) is the kinetic energy an electron gains crossing a potential difference of one volt, the natural energy scale of particle and atomic physics. A gigawatt-hour (GWh) is the energy delivered by one gigawatt of power sustained for an hour and describes national grid output and power-plant generation. Bridging these two units spans roughly 47 orders of magnitude, a vivid illustration of how far the subatomic sits below the macroscopic energy scale.
Conversion Formula
To convert Electronvolts to Gigawatt-hours, multiply by this factor:
Step-by-Step Example
Convert 25 Electronvolts to Gigawatt-hours.
How to Convert Electronvolts to Gigawatt-hours
Scale a subatomic energy figure up to grid magnitude with a single multiplication.
- Note your value in electronvolts: Start with the energy expressed in eV, for example 25 eV.
- Apply the factor: Multiply by , the number of GWh in one eV.
- Compute the product: gives the answer directly.
- Read the result: 25 eV equals GWh.
Electronvolts to Gigawatt-hours conversion table
| Electronvolts (eV) | Gigawatt-hours (GWh) |
|---|---|
| 0 | 0 |
| 1 | 4.450491e-32 |
| 2 | 8.900981e-32 |
| 3 | 1.335147e-31 |
| 4 | 1.780196e-31 |
| 5 | 2.225245e-31 |
| 6 | 2.670294e-31 |
| 7 | 3.115343e-31 |
| 8 | 3.560393e-31 |
| 9 | 4.005442e-31 |
| 10 | 4.450491e-31 |
| 15 | 6.675736e-31 |
| 20 | 8.900981e-31 |
| 25 | 1.112623e-30 |
| 30 | 1.335147e-30 |
| 40 | 1.780196e-30 |
| 50 | 2.225245e-30 |
| 60 | 2.670294e-30 |
| 70 | 3.115343e-30 |
| 80 | 3.560393e-30 |
| 90 | 4.005442e-30 |
| 100 | 4.450491e-30 |
| 150 | 6.675736e-30 |
| 200 | 8.900981e-30 |
| 250 | 1.112623e-29 |
| 300 | 1.335147e-29 |
| 400 | 1.780196e-29 |
| 500 | 2.225245e-29 |
| 600 | 2.670294e-29 |
| 700 | 3.115343e-29 |
| 800 | 3.560393e-29 |
| 900 | 4.005442e-29 |
| 1000 | 4.450491e-29 |
| 2000 | 8.900981e-29 |
| 3000 | 1.335147e-28 |
| 4000 | 1.780196e-28 |
| 5000 | 2.225245e-28 |
| 10000 | 4.450491e-28 |
| 25000 | 1.112623e-27 |
| 50000 | 2.225245e-27 |
| 100000 | 4.450491e-27 |
| 250000 | 1.112623e-26 |
| 500000 | 2.225245e-26 |
| 1000000 | 4.450491e-26 |
What is the Electronvolt?
The electronvolt is a small unit of energy used throughout atomic, nuclear, and particle physics to describe the energies of individual particles, photons, and chemical or nuclear reactions.
Definition
One electronvolt is the kinetic energy gained by a single electron accelerated through an electric potential difference of one volt:
Since the 2019 redefinition of SI units, this value is exact: 1 eV = 1.602176634 × 10⁻¹⁹ J, because the elementary charge is now a defined constant. Common multiples include the keV (10³ eV), MeV (10⁶ eV), GeV (10⁹ eV), and TeV (10¹² eV).
Origin and History
The unit arose in the early 20th century as physicists studied electrons and ions accelerated in vacuum tubes and early particle accelerators, where energy expressed in volts of accelerating potential was far more natural than joules. It became the standard energy scale as quantum and nuclear physics matured.
Law and Notable Facts
The electronvolt is accepted for use with the SI system though it is not itself an SI unit. Via mass-energy equivalence, particle masses are routinely quoted in eV/c²: the electron's rest mass is about 511 keV/c², and the proton's is about 938 MeV/c².
Real-World Examples and Conversions
- Visible-light photons carry roughly 1.6 to 3.3 eV each.
- Chemical bond energies are typically a few eV per bond.
- The Large Hadron Collider accelerates protons to about 6.5 TeV, or 6.5 × 10¹² eV, roughly 1.04 microjoules per proton.
What is Gigawatt-hours?
Gigawatt-hours (GWh) is a unit of energy representing one billion watt-hours. It's commonly used to quantify large amounts of electrical energy production or consumption. Let's break down what this means and explore its significance.
Understanding Gigawatt-hours
A gigawatt-hour represents the amount of energy equivalent to one gigawatt (one billion watts) operating for one hour. Since power is the rate at which energy is used or generated, a gigawatt-hour is a measure of total energy transferred or consumed over time.
The relationship between power, energy and time is:
Where:
- Energy is in Gigawatt-hours (GWh)
- Power is in Gigawatts (GW)
- Time is in hours (h)
Formation of Gigawatt-hours
Gigawatt-hours are formed by scaling up from smaller units of energy:
- Watt (W): The base unit of power in the SI system. It measures the rate of energy transfer.
- Watt-hour (Wh): The amount of energy consumed by a 1-watt device operating for 1 hour.
- Kilowatt-hour (kWh): 1,000 watt-hours. Commonly used on electricity bills.
- Megawatt-hour (MWh): 1,000 kilowatt-hours or 1,000,000 watt-hours.
- Gigawatt-hour (GWh): 1,000 megawatt-hours or 1,000,000,000 watt-hours.
Real-World Examples
- Annual energy consumption of a city: A medium-sized city might consume several GWh of electricity per year.
- Power plant output: A large coal or nuclear power plant can generate multiple GWh of electricity per day.
- Renewable energy: A large wind farm or solar power plant can produce hundreds of GWh of electricity per year. For example, the average offshore wind farm generates around 1.4 GWh per turbine.
- Data centers: Large data centers are big energy consumer. An average data center can consume around 1 GWh per year. However, bigger data centers can consume more than that.
- Electric vehicle production Tesla's GigaFactory in Nevada consumes around 92 GWh per year
- Battery storage Utility-scale battery storage such as Moss Landing Energy Storage Facility can supply 3GWh of energy.
Energy Consumption Context
To put Gigawatt-hours in perspective, it's good to understand the scale of consumption it represents. For example, The U.S. Energy Information Administration (EIA) estimates that the total U.S. electricity generation in 2022 was about 4,235 terawatt-hours (TWh). That's 4,235,000 GWh!
Associated Laws and Facts
While there isn't a specific law directly associated with gigawatt-hours, the increasing importance of energy efficiency and renewable energy sources has led to numerous policies and regulations aimed at reducing energy consumption and promoting the use of cleaner energy. This indirectly impacts the relevance and monitoring of GWh as a key metric.
For example, the European Union has set targets for reducing greenhouse gas emissions and increasing the share of renewable energy in its energy mix. These targets are often measured and tracked using GWh as a key indicator. You can see more about EU's 2030 climate & energy framework in Climate and energy framework at Council of the EU website.
Frequently Asked Questions
How many gigawatt-hours are in one electronvolt?
One electronvolt equals GWh, an almost unimaginably tiny fraction of grid-scale energy.
How do I convert electronvolts to gigawatt-hours?
Multiply the number of electronvolts by . For example, 25 eV becomes GWh.
How many electronvolts make up a single gigawatt-hour?
It takes about electronvolts to equal one gigawatt-hour, since the conversion is the reciprocal of the forward factor.
Why compare a particle-physics unit to a grid unit?
Placing eV beside GWh dramatizes scale: summing the energy of countless particle interactions only reaches grid magnitudes after 30-plus orders of magnitude, useful in outreach and order-of-magnitude teaching.
Is this conversion exact?
The factor derives from the exact SI definitions of the electronvolt and the watt-hour, so it is exact to the precision shown here.
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Complete Electronvolts conversion table
| Unit | Result |
|---|---|
| Watt-seconds (Ws) | 1.602177e-19 Ws |
| Watt-minutes (Wm) | 2.670294e-21 Wm |
| Watt-hours (Wh) | 4.450491e-23 Wh |
| Milliwatt-hours (mWh) | 4.450491e-20 mWh |
| Kilowatt-hours (kWh) | 4.450491e-26 kWh |
| Megawatt-hours (MWh) | 4.450491e-29 MWh |
| Gigawatt-hours (GWh) | 4.450491e-32 GWh |
| Joules (J) | 1.602177e-19 J |
| Kilojoules (kJ) | 1.602177e-22 kJ |
| Megajoules (MJ) | 1.602177e-25 MJ |
| Gigajoules (GJ) | 1.602177e-28 GJ |
| British Thermal Units (IT) (BTU) | 1.51857e-22 BTU |
| US Therms (thm) | 1.518933e-27 thm |
| Ergs (erg) | 1.602177e-12 erg |
| Foot-pounds (ft-lbf) | 1.181705e-19 ft-lbf |
| Tonnes of TNT (t-tnt) | 3.829294e-29 t-tnt |
| calories (cal) | 3.829294e-20 cal |
| Kilocalories (kcal) | 3.829294e-23 kcal |