Erg to British Thermal Units
erg
BTU
Conversion History
| Conversion | Reuse | Delete |
|---|---|---|
1 erg (Erg) → 9.478171203e-11 BTU (British Thermal Units) Just now |
Quick Reference Table (Erg to British Thermal Units)
| Erg (erg) | British Thermal Units (BTU) |
|---|---|
| 1 | 0.00000000009478171203 |
| 10 | 0.00000000094781712033 |
| 100 | 0.00000000947817120331 |
| 10,000 | 0.00000094781712033128 |
| 1,000,000 | 0.00009478171203312843 |
| 10,000,000 | 0.00094781712033128435 |
About Erg (erg)
The erg is a unit of energy in the CGS (centimeter-gram-second) system, equal to the work done by a force of one dyne over one centimeter — which equals exactly 10⁻⁷ joules. Once standard in physics and astronomy, ergs are now largely superseded by joules in most scientific work, though astrophysicists still use them for the luminosity of stars and the energy of astrophysical events. The total solar energy output is about 3.8 × 10³³ erg/s.
The kinetic energy of a mosquito in flight is about 1 erg. A supernova explosion releases roughly 10⁵¹ ergs of energy in total.
Etymology: From the Greek word ἔργον (ergon), meaning "work". Adopted as part of the CGS system formalised in the 1870s by the British Association for the Advancement of Science.
About British Thermal Units (BTU)
The British thermal unit (BTU) is the amount of heat required to raise one pound of water by one degree Fahrenheit at its maximum density (~39°F). One BTU equals approximately 1,055 joules. It remains the dominant unit for heating and cooling equipment in the United States — air conditioners, furnaces, heat pumps, and water heaters are all rated in BTU or BTU/hour. Natural gas prices in the US are quoted in dollars per million BTU (MMBtu).
A standard residential air conditioner is rated at 10,000–24,000 BTU/hour. Burning one kitchen match releases roughly 1 BTU of heat.
Etymology: Developed in the 19th century alongside the rise of steam engineering in Britain and the US, standardized as the energy needed to raise one pound of water by one degree Fahrenheit. The "British" name stuck even as the UK adopted SI units.
Erg – Frequently Asked Questions
Why do astrophysicists still use ergs instead of joules?
Astrophysics literature built decades of reference data in CGS units before SI became dominant. Key constants like solar luminosity (3.828 × 10³³ erg/s) and supernova energy (10⁵¹ erg, called a "foe") are baked into textbooks and databases. Switching to SI would require rewriting thousands of reference values, so the field maintains CGS by convention.
How many ergs of energy does a supernova release?
A core-collapse supernova releases roughly 3 × 10⁵³ ergs total, of which about 99% escapes as neutrinos. The visible light and kinetic energy of the ejected shell account for about 10⁵¹ ergs — a unit so common in astrophysics it has its own name: one "foe" (ten to the Fifty-One Ergs). In joules, that is 10⁴⁴ J, or the Sun's total output over 10 billion years.
What is an erg per second and why does it appear in stellar luminosity tables?
An erg per second is the CGS unit of power, equivalent to 10⁻⁷ watts. Astronomers quote stellar luminosities in ergs per second because the numbers align well with astrophysical scales: the Sun emits 3.846 × 10³³ erg/s, and supernovae peak at ~10⁴³ erg/s. Using watts would give the same exponents minus seven — less tidy for a field that already juggles 40-digit numbers daily.
What is the CGS system and why does it use the erg?
CGS (centimeter-gram-second) is a metric system that predates SI, formalised in the 1870s. It derives mechanical units from cm, g, and s: force in dynes (g·cm/s²) and energy in ergs (dyne·cm). CGS was standard in physics until the mid-20th century, and its Gaussian variant remains preferred in electromagnetism and astrophysics because Maxwell's equations take a simpler form.
How small is an erg in everyday terms?
One erg is 10⁻⁷ joules — roughly the kinetic energy of a mosquito in flight or the energy of a single grain of sand falling one centimeter. You would need about 10 million ergs to equal one joule, or 42 billion ergs to match the energy in a single dietary Calorie. The erg is useful precisely because atomic and astronomical quantities span so many orders of magnitude.
British Thermal Units – Frequently Asked Questions
Why are air conditioners rated in BTU instead of watts?
US HVAC manufacturers adopted BTU/hour because heating and cooling equipment historically measured heat removal or addition, not electrical input. A 12,000 BTU/h window unit removes 12,000 BTU of heat per hour from a room — that figure directly tells you the cooling capacity. Watts measure electrical power consumed, which is less due to the efficiency (EER) of the unit. The convention stuck because the entire US supply chain uses it.
How many BTU does it take to heat a room?
A rough rule of thumb is 20 BTU per square foot of living space in a temperate climate. A 300 sq ft bedroom needs about 6,000 BTU/h; a 1,500 sq ft open-plan living area needs roughly 30,000 BTU/h. Actual requirements vary with insulation, ceiling height, climate zone, and window area. Poorly insulated older homes may need 30–40 BTU per square foot.
What is the difference between BTU and BTU/h?
BTU is a unit of energy (heat); BTU/h is a unit of power (rate of heat flow). When an air conditioner is labelled "12,000 BTU," the industry shorthand actually means 12,000 BTU per hour. Technically one BTU equals about 1,055 joules of energy, while 1 BTU/h equals about 0.293 watts. The distinction matters for energy calculations but is routinely blurred in product marketing.
How does the BTU relate to natural gas pricing in the US?
US natural gas is priced in dollars per million BTU (MMBtu) at the wholesale level and dollars per therm (100,000 BTU) on residential bills. One cubic foot of pipeline gas contains roughly 1,020 BTU. The Henry Hub benchmark price of $2.50/MMBtu means each therm costs about $0.25 wholesale — residential prices are higher after delivery and utility markups.
Why does the UK no longer use British thermal units despite the name?
The UK metricated energy units in the 1970s–1990s, switching gas billing from therms (100,000 BTU) to kilowatt-hours and scientific work to joules. The "British" in BTU reflects 19th-century British steam engineering origins, not current usage. Today the BTU is almost exclusively an American unit, used for HVAC, gas pricing, and appliance ratings across the US.