Understanding Tonnes of TNT to Ergs Conversion
The tonne of TNT is a defined energy unit of 4.184 gigajoules used for explosive and seismic yields. The erg is the CGS unit of energy, equal to 10⁻⁷ joule, and still appears in astrophysics and older physics texts where quantities such as supernova output or earthquake energy are quoted. Converting tonnes of TNT to ergs is handy when comparing blast energy with seismological or astrophysical figures expressed in the CGS system.
Conversion Formula
To convert Tonnes of TNT to Ergs, multiply by this factor:
Step-by-Step Example
Convert 25 Tonnes of TNT to Ergs.
How to Convert Tonnes of TNT to Ergs
Convert explosive energy into the CGS erg scale with a single step.
- Take the TNT tonnage: Begin with the energy in tonnes of TNT.
- Multiply by the factor: Use 4.184 × 10¹⁶ ergs per tonne of TNT.
- Keep scientific notation: The large exponent is clearest in powers of ten.
- Worked result: 25 t-tnt becomes 25 × 4.184 × 10¹⁶ = 1.046 × 10¹⁸ erg.
Tonnes of TNT to Ergs conversion table
| Tonnes of TNT (t-tnt) | Ergs (erg) |
|---|---|
| 0 | 0 |
| 1 | 41840000000000000 |
| 2 | 83680000000000000 |
| 3 | 125520000000000000 |
| 4 | 167360000000000000 |
| 5 | 209200000000000000 |
| 6 | 251040000000000000 |
| 7 | 292880000000000000 |
| 8 | 334720000000000000 |
| 9 | 376560000000000000 |
| 10 | 418400000000000000 |
| 15 | 627600000000000000 |
| 20 | 836800000000000000 |
| 25 | 1046000000000000000 |
| 30 | 1255200000000000000 |
| 40 | 1673600000000000000 |
| 50 | 2092000000000000000 |
| 60 | 2510400000000000000 |
| 70 | 2928800000000000000 |
| 80 | 3347200000000000000 |
| 90 | 3765600000000000000 |
| 100 | 4184000000000000000 |
| 150 | 6276000000000000000 |
| 200 | 8368000000000000000 |
| 250 | 10460000000000000000 |
| 300 | 12552000000000000000 |
| 400 | 16736000000000000000 |
| 500 | 20920000000000000000 |
| 600 | 25104000000000000000 |
| 700 | 29288000000000000000 |
| 800 | 33472000000000000000 |
| 900 | 37656000000000000000 |
| 1000 | 41840000000000000000 |
| 2000 | 83680000000000000000 |
| 3000 | 125520000000000000000 |
| 4000 | 167360000000000000000 |
| 5000 | 209200000000000000000 |
| 10000 | 418400000000000000000 |
| 25000 | 1.046e+21 |
| 50000 | 2.092e+21 |
| 100000 | 4.184e+21 |
| 250000 | 1.046e+22 |
| 500000 | 2.092e+22 |
| 1000000 | 4.184e+22 |
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.
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.
Frequently Asked Questions
How many ergs are in one tonne of TNT?
About 4.184 × 10¹⁶ ergs, since one tonne of TNT is 4.184 × 10⁹ joules and each joule is 10⁷ ergs.
Why is the erg still used?
Astrophysicists and some seismologists retain CGS units, so energies like earthquake or stellar output are frequently in ergs.
How much is 25 tonnes of TNT in ergs?
It is about 1.046 × 10¹⁸ ergs, from 25 × 4.184 × 10¹⁶.
What is the relationship between the erg and the joule?
One erg equals exactly 10⁻⁷ joule, so ten million ergs make one joule.
Is the erg an SI unit?
No. The erg belongs to the older CGS system, though it converts exactly to SI joules.
People also convert
Complete Tonnes of TNT conversion table
| Unit | Result |
|---|---|
| Watt-seconds (Ws) | 4184000000 Ws |
| Watt-minutes (Wm) | 69733330 Wm |
| Watt-hours (Wh) | 1162222 Wh |
| Milliwatt-hours (mWh) | 1162222000 mWh |
| Kilowatt-hours (kWh) | 1162.222 kWh |
| Megawatt-hours (MWh) | 1.162222 MWh |
| Gigawatt-hours (GWh) | 0.001162222 GWh |
| Joules (J) | 4184000000 J |
| Kilojoules (kJ) | 4184000 kJ |
| Megajoules (MJ) | 4184 MJ |
| Gigajoules (GJ) | 4.184 GJ |
| British Thermal Units (IT) (BTU) | 3965667 BTU |
| US Therms (thm) | 39.66614 thm |
| Electronvolts (eV) | 2.611447e+28 eV |
| Ergs (erg) | 41840000000000000 erg |
| Foot-pounds (ft-lbf) | 3085960000 ft-lbf |
| calories (cal) | 1000000000 cal |
| Kilocalories (kcal) | 1000000 kcal |