Understanding Ergs to Tonnes of TNT Conversion
The erg is the CGS unit of energy, and the tonne of TNT is a conventional energy unit defined as 4.184 \times 10⁹ joules, the energy released by detonating one metric tonne of trinitrotoluene. It is used to describe explosive yield. This conversion links CGS energy figures with the tonne-of-TNT scale used in blast physics, seismology, and comparisons of explosive or impact energy.
Conversion Formula
To convert Ergs to Tonnes of TNT, multiply by this factor:
Step-by-Step Example
Convert 25 Ergs to Tonnes of TNT.
How to Convert Ergs to Tonnes of TNT
Converting ergs to tonnes of TNT recasts a CGS energy on the explosive-yield scale.
- Note the erg value: Identify the energy in ergs.
- Multiply by the factor: Multiply by 2.39006 \times 10⁻¹⁷ tonnes of TNT per erg.
- State the result: 25 erg equals 5.97514 \times 10⁻¹⁶ tonnes of TNT.
Ergs to Tonnes of TNT conversion table
| Ergs (erg) | Tonnes of TNT (t-tnt) |
|---|---|
| 0 | 0 |
| 1 | 2.390057e-17 |
| 2 | 4.780115e-17 |
| 3 | 7.170172e-17 |
| 4 | 9.560229e-17 |
| 5 | 1.195029e-16 |
| 6 | 1.434034e-16 |
| 7 | 1.67304e-16 |
| 8 | 1.912046e-16 |
| 9 | 2.151052e-16 |
| 10 | 2.390057e-16 |
| 15 | 3.585086e-16 |
| 20 | 4.780115e-16 |
| 25 | 5.975143e-16 |
| 30 | 7.170172e-16 |
| 40 | 9.560229e-16 |
| 50 | 1.195029e-15 |
| 60 | 1.434034e-15 |
| 70 | 1.67304e-15 |
| 80 | 1.912046e-15 |
| 90 | 2.151052e-15 |
| 100 | 2.390057e-15 |
| 150 | 3.585086e-15 |
| 200 | 4.780115e-15 |
| 250 | 5.975143e-15 |
| 300 | 7.170172e-15 |
| 400 | 9.560229e-15 |
| 500 | 1.195029e-14 |
| 600 | 1.434034e-14 |
| 700 | 1.67304e-14 |
| 800 | 1.912046e-14 |
| 900 | 2.151052e-14 |
| 1000 | 2.390057e-14 |
| 2000 | 4.780115e-14 |
| 3000 | 7.170172e-14 |
| 4000 | 9.560229e-14 |
| 5000 | 1.195029e-13 |
| 10000 | 2.390057e-13 |
| 25000 | 5.975143e-13 |
| 50000 | 1.195029e-12 |
| 100000 | 2.390057e-12 |
| 250000 | 5.975143e-12 |
| 500000 | 1.195029e-11 |
| 1000000 | 2.390057e-11 |
What is the Erg?
The erg is a unit of energy in the centimetre-gram-second (CGS) system, historically common in physics, astronomy, and mechanics before the SI joule became standard.
Definition
One erg is the work done by a force of one dyne acting over a distance of one centimetre:
This equals exactly one ten-millionth of a joule (10⁻⁷ J), or equivalently 1 g·cm²/s². The erg is a small unit, reflecting the small base units of the CGS system.
Origin and History
The name comes from the Greek ergon, meaning "work." The unit was formally adopted by the British Association for the Advancement of Science in 1873 as part of the CGS system and remained the dominant energy unit in physics literature well into the 20th century.
Law and Notable Facts
The erg has been largely superseded by the joule and is deprecated in the modern SI framework, but it persists in astrophysics, where luminosities and energies are still frequently quoted in ergs and erg per second.
Real-World Examples and Conversions
- 1 joule equals 10 million ergs.
- A mosquito in flight expends energy on the order of a few ergs per wingbeat.
- The Sun radiates about 3.8 × 10³³ ergs every second, equivalent to 3.8 × 10²⁶ watts.
What is the Tonne of TNT?
The tonne of TNT is a unit of energy used to express the yield of explosions, especially large blasts and nuclear weapons, by comparison with the energy released by detonating trinitrotoluene (TNT).
Definition
One tonne of TNT is defined by convention as the energy released by one metric tonne of TNT, based on a fixed value of 4,184 joules per gram:
The figure is a convention, not a measured property of TNT (whose actual detonation energy varies from about 2,700 to 4,600 J/g). The value 1 gram TNT = 4,184 J corresponds exactly to one thermochemical kilocalorie per gram.
Origin and History
The unit emerged in the mid-20th century with the development of nuclear weapons, when engineers needed a familiar chemical-explosive benchmark to convey enormous energy releases. The kiloton (10⁹ cal) and megaton (10¹² cal) became the standard scales for reporting nuclear yields.
Law and Notable Facts
The convention 1 kt TNT = 10¹² calories = 4.184 × 10¹² J is standardized in defense and geophysics. Seismologists also use TNT equivalents to communicate the energy of earthquakes and impacts to the public.
Real-World Examples and Conversions
- 1 tonne of TNT equals about 4.184 gigajoules, or roughly 1,162 kilowatt-hours.
- The Hiroshima bomb released about 15 kilotons, roughly 6.3 × 10¹³ J.
- The 2020 Beirut port explosion is estimated at around 500 to 1,100 tonnes of TNT equivalent.
Frequently Asked Questions
How many tonnes of TNT is one erg?
One erg equals 2.39006 \times 10⁻¹⁷ tonnes of TNT.
How many ergs are in a tonne of TNT?
One tonne of TNT equals 4.184 \times 10¹⁶ ergs.
How is the tonne of TNT defined?
It is fixed at 4.184 \times 10⁹ joules, corresponding to 10⁹ thermochemical calories.
Where is this unit used?
It expresses explosive yields, asteroid-impact energies, and earthquake energy comparisons.
What is 25 ergs in tonnes of TNT?
25 erg equals 5.97514 \times 10⁻¹⁶ tonnes of TNT.
People also convert
Complete Ergs conversion table
| Unit | Result |
|---|---|
| Watt-seconds (Ws) | 1e-7 Ws |
| Watt-minutes (Wm) | 1.666667e-9 Wm |
| Watt-hours (Wh) | 2.777778e-11 Wh |
| Milliwatt-hours (mWh) | 2.777778e-8 mWh |
| Kilowatt-hours (kWh) | 2.777778e-14 kWh |
| Megawatt-hours (MWh) | 2.777778e-17 MWh |
| Gigawatt-hours (GWh) | 2.777778e-20 GWh |
| Joules (J) | 1e-7 J |
| Kilojoules (kJ) | 1e-10 kJ |
| Megajoules (MJ) | 1e-13 MJ |
| Gigajoules (GJ) | 1e-16 GJ |
| British Thermal Units (IT) (BTU) | 9.478171e-11 BTU |
| US Therms (thm) | 9.480434e-16 thm |
| Electronvolts (eV) | 624150900000 eV |
| Foot-pounds (ft-lbf) | 7.375621e-8 ft-lbf |
| Tonnes of TNT (t-tnt) | 2.390057e-17 t-tnt |
| calories (cal) | 2.390057e-8 cal |
| Kilocalories (kcal) | 2.390057e-11 kcal |