Fahrenheit
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Fahrenheit
Thermometer with Fahrenheit (marked on outer bezel) and Celsius (marked on inner dial) degree units. The Fahrenheit scale was the first standardized temperature scale to be widely used.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by Amsterdam-based physicist Daniel Gabriel Fahrenheit (1686-1736).[1] It uses the degree Fahrenheit (symbol: °F) as the unit. Several accounts of how he originally defined his scale exist. The lower defining point, 0 °F, was established as the temperature of a solution of brine made from equal parts of ice and salt. Further limits were established as the melting point of ice (32 °F) and his best estimate of the average human body temperature (96 °F, about 2.6 °F less than the modern value due to a later redefinition of the scale).[2] The scale is now usually defined by two fixed points: the temperature at which water freezes into ice is defined as 32 °F, and the boiling point of water is defined to be 212 °F, a 180 °F separation, as defined at sea level and standard atmospheric pressure.

By the end of the 20th century, Fahrenheit was used as the official temperature scale only in the United States (including its unincorporated territories), its freely associated states in the Western Pacific (Palau, the Federated States of Micronesia and the Marshall Islands), the Bahamas, Belize, and the Cayman Islands.[3] All other countries in the world now use the Celsius scale, defined since 1954 by absolute zero being -273.15 °C and the triple point of water being at 0.01 °C.[4]

## Definition and conversion

Fahrenheit temperature conversion formulae
from Fahrenheit to Fahrenheit
Celsius [°C] = ([°F] - 32) ×  [°F] = [°C] ×  + 32
Kelvin [K] = ([°F] + 459.67) ×  [°F] = [K] ×  - 459.67
Rankine [°R] = [°F] + 459.67 [°F] = [°R] - 459.67
For temperature intervals rather than specific temperatures,
1 °F = 1 °R =  °C =  K
Comparisons among various temperature scales

On the Fahrenheit scale, the freezing point of water is 32 degrees Fahrenheit (°F) and the boiling point is 212 °F (at standard atmospheric pressure). This puts the boiling and freezing points of water exactly 180 degrees apart.[5] Therefore, a degree on the Fahrenheit scale is of the interval between the freezing point and the boiling point. On the Celsius scale, the freezing and boiling points of water are 100 degrees apart. A temperature interval of 1 °F is equal to an interval of  degrees Celsius. The Fahrenheit and Celsius scales intersect at -40° (i.e., -40 °F = -40 °C).

Absolute zero is -273.15 °C or -459.67 °F. The Rankine temperature scale uses degree intervals of the same size as those of the Fahrenheit scale, except that absolute zero is 0 °R -- the same way that the Kelvin temperature scale matches the Celsius scale, except that absolute zero is 0 K.[5]

The Fahrenheit scale uses the symbol ° to denote a point on the temperature scale (as does Celsius) and the letter F to indicate the use of the Fahrenheit scale (e.g. "Gallium melts at 85.5763 °F"),[6] as well as to denote a difference between temperatures or an uncertainty in temperature (e.g. "The output of the heat exchanger experiences an increase of 72 °F" and "Our standard uncertainty is ±5 °F").

For an exact conversion, the following formulas can be applied. Here, f is the value in Fahrenheit and c the value in Celsius:

• f °Fahrenheit to c °Celsius : (f - 32) °F × = °C = c °C
• c °Celsius to f °Fahrenheit : (c °C × ) + 32 °F = (c × 1.8) °F + 32 °F = f °F

This is also an exact conversion making use of the identity -40 °F = -40 °C. Again, f is the value in Fahrenheit and c the value in Celsius:

• f °Fahrenheit to c °Celsius : ((f + 40) ÷ 1.8) - 40 = c.
• c °Celsius to f °Fahrenheit : ((c + 40) × 1.8) - 40 = f.

## History

Daniel Gabriel Fahrenheit, a pioneer of exact thermometry (temperature measurement). He invented the mercury thermometer (first practical, accurate thermometer) and Fahrenheit scale (first widely used, standardized temperature scale).

Fahrenheit proposed his temperature scale in 1724, basing it on two reference points of temperature. In his initial scale (which is not the final Fahrenheit scale), the zero point was determined by placing the thermometer in a mixture of ice, water, and ammonium chloride (salis Armoniaci).[7] This is a frigorific mixture which stabilizes its temperature automatically: that stable temperature was defined as 0 °F (-17.78 °C). The second point, 96 degrees, was approximately the human body's temperature (sanguine hominis sani, the blood of a healthy man).[8]

According to a story in Germany, Fahrenheit actually chose the lowest air temperature measured in his hometown Danzig in winter 1708/09 as 0 °F, and only later had the need to be able to make this value reproducible using brine.[9] This is one explanation given why 0 °F is -17.78 °C, but the ammonium chloride cooling temperature actually is -3 °C, whereas that of NaCl is -21.1 °C; the other explanation is that he did not have a good enough brine solution to obtain the eutectic equilibrium exactly (i.e. he might have had a mixture of salts, or it had not fully dissolved). In any case, the definition of the Fahrenheit scale has changed since.

According to a letter Fahrenheit wrote to his friend Herman Boerhaave,[10] his scale was built on the work of Ole Rømer, whom he had met earlier. In Rømer's scale, brine freezes at zero, water freezes and melts at 7.5 degrees, body temperature is 22.5, and water boils at 60 degrees. Fahrenheit multiplied each value by four in order to eliminate fractions and increase the granularity of the scale. He then re-calibrated his scale using the melting point of ice and normal human body temperature (which were at 30 and 90 degrees); he adjusted the scale so that the melting point of ice would be 32 degrees and body temperature 96 degrees, so that 64 intervals would separate the two, allowing him to mark degree lines on his instruments by simply bisecting the interval six times (since 64 is 2 to the sixth power).[11][12]

Fahrenheit observed that water boils at about 212 degrees using this scale. The use of the freezing and boiling points of water as thermometer fixed reference points became popular following the work of Anders Celsius and these fixed points were adopted by a committee of the Royal Society led by Henry Cavendish in 1776.[13] Under this system, the Fahrenheit scale is redefined slightly so that the freezing point of water is exactly 32 °F, and the boiling point is exactly 212 °F or 180 degrees higher. It is for this reason that normal human body temperature is approximately 98° (oral temperature) on the revised scale (whereas it was 90° on Fahrenheit's multiplication of Rømer, and 96° on his original scale).[14]

The Rankine temperature scale was based upon the Fahrenheit temperature scale, with its zero representing absolute zero instead.

## Usage

Countries that use Fahrenheit.
Countries that use Celsius.

The Fahrenheit scale was the primary temperature standard for climatic, industrial and medical purposes in English-speaking countries until the 1960s. In the late 1960s and 1970s, the Celsius scale replaced Fahrenheit in almost all of those countries--with the notable exception of the United States--typically during their metrication process.

Fahrenheit is used in the United States, its territories and associated states (all served by the U.S. National Weather Service), as well as the Bahamas, Belize, and the Cayman Islands for everyday applications. For example, U.S. weather forecasts, food cooking, and freezing temperatures are typically given in degrees Fahrenheit. Scientists, such as meteorologists, use Celsius or Kelvin in all countries.[15]

Early in the 20th century, Halsey and Dale suggested that the resistance to the use of centigrade (now Celsius) system in the U.S. included the larger size of each degree Celsius and the lower zero point in the Fahrenheit system.[16]

Canada has passed legislation favoring the International System of Units, while also maintaining legal definitions for traditional Canadian imperial units.[17] Canadian weather reports are conveyed using degrees Celsius with occasional reference to Fahrenheit especially for cross-border broadcasts. Virtually all Canadian ovens make legal use of the Fahrenheit scale.[18] Thermometers, both digital and analog, sold in Canada usually employ both the Celsius and Fahrenheit scales.[19][20][21] Also, in some instances (swimming pool temperature or cooking temperatures for example), temperatures are still expressed in Fahrenheit.

European laundry symbol for "Wash at 40 °C"

Within the European Union, it is mandatory to use kelvins or degrees Celsius when quoting temperature for "economic, public health, public safety and administrative" purposes, though degrees Fahrenheit may be used alongside degrees Celsius as a supplementary unit.[22] For example, the laundry symbols used in the United Kingdom follow the recommendations of ISO 3758:2005 showing the temperature of the washing machine water in degrees Celsius only.[23] The equivalent label in North America uses one to six dots to denote temperature with an optional temperature in degrees Celsius.[24][25]

Within the unregulated sector, such as journalism, the use of Fahrenheit in the United Kingdom follows no fixed pattern with degrees Fahrenheit often appearing alongside degrees Celsius. The Daily Mail, on its daily weather page, quotes Celsius first, followed by Fahrenheit in brackets,[26]The Daily Telegraph does not mention Fahrenheit on its daily weather page[27] while The Times also has an all-metric daily weather page but has a Celsius-to-Fahrenheit conversion table.[28] When publishing news stories, much of the UK press adopted a convention of using degrees Celsius in headlines relating to low temperatures and Fahrenheit for high temperatures, although this has become less common in recent years. In February 2006, the writer of an article in The Times suggested that the rationale was one of emphasis: "-6 °C" sounds colder than "21 °F" and "94 °F" sounds more impressive than "34 °C".[29]

## Unicode representation of symbol

Unicode provides the Fahrenheit symbol at codepoint ? degree fahrenheit. However, this is a compatibility character encoded for roundtrip compatibility with legacy encodings. The Unicode standard explicitly discourages the use of this character: "The sequence ° degree sign + F latin capital letter f is preferred over ? degree fahrenheit, and those two sequences should be treated as identical for searching."[30]

## Notes and references

1. ^ Robert T. Balmer (2010). Modern Engineering Thermodynamics. Academic Press. p. 9. ISBN 978-0-12-374996-3. Retrieved 2011.
2. ^ Fahrenheit temperature scale, Encyclopædia Britannica Online. 25 September 2015
3. ^ [1]
4. ^ Celsius vs. Fahrenheit
5. ^ a b Walt Boyes (2009). Instrumentation Reference Book. Butterworth-Heinemann. pp. 273-274. ISBN 978-0-7506-8308-1. Retrieved 2011.
6. ^ Preston-Thomas, H. (1990). "The International Temperature Scale of 1990 (ITS-90)" (PDF). Metrologia. 27: 6. Bibcode:1990Metro..27....3P. doi:10.1088/0026-1394/27/1/002. Retrieved 2011.
7. ^ "Sal Armoniac" was an impure form of ammonium chloride. The French chemist Nicolas Lémery (1645 - 1715) discussed it in his book Cours de Chymie (A Course of Chemistry, 1675), describing where it occurs naturally and how it can be prepared artificially. It occurs naturally in the deserts of northern Africa, where it forms from puddles of animal urine. It can be prepared artificially by boiling 5 parts of urine, 1 part of sea salt, and ½ part of chimney soot until the mixture has dried. The mixture is then heated in a sublimation pot until it sublimates ; the sublimated crystals are sal Armoniac. See:
• Nicolas Lémery, Cours de chymie ... , 7th ed. (Paris, France: Estienne Michallet, 1688), Chapitre XVII: du Sel Armoniac, pp. 338-339.
• English translation: Nicolas Lémery with James Keill, trans., A Course of Chymistry ... , 3rd ed. (London, England: Walter Kettilby, 1698), Chap. XVII: of Sal Armoniack, p. 383. Available on-line at: Heinrich Heine University (Düsseldorf, Germany)
8. ^ Fahrenheit, Daniele Gabr. (1724) "Experimenta circa gradum caloris liquorum nonnullorum ebullientium instituta" (Experiments performed concerning the degree of heat of some boiling liquids), Philosophical Transactions of the Royal Society of London, 33 : 1-3. For an English translation, see: Le Moyne College (Syracuse, New York)
9. ^ "Wetterlexikon - Lufttemperatur" (in German). Deutscher Wetterdienst. Archived from the original on 15 October 2013. Retrieved 2013.
10. ^ Ernst Cohen and W.A.T. Cohen-De Meester. Chemisch Weekblad, volume 33 (1936), pages 374-393, cited and translated in http://www.sizes.com:80/units/temperature_Fahrenheit.htm
11. ^ Frautschi, Steven C.; Richard P. Olenick; Tom M. Apostol; David L. Goodstein (14 January 2008). The mechanical universe: mechanics and heat. Cambridge University Press. p. 502. ISBN 978-0-521-71590-4.
12. ^ Cecil Adams. "On the Fahrenheit scale, do 0 and 100 have any special significance?". The Straight Dope.
13. ^ Hasok Chang, Inventing Temperature: Measurement and Scientific Progress, pp. 8-11, Oxford University Press, 2004 ISBN 0198038240.
14. ^ Elert, Glenn; Forsberg, C; Wahren, LK (2002). "Temperature of a Healthy Human (Body Temperature)". Scandinavian Journal of Caring Sciences. 16 (2): 122-8. doi:10.1046/j.1471-6712.2002.00069.x. PMID 12000664. Archived from the original on 26 September 2010. Retrieved 2008.
15. ^ "782 - Aerodrome reports and forecasts: A user's handbook to the codes". World Meteorological Organization. Retrieved 2009.
16. ^ Halsey, Frederick A., Dale, Samuel S. (1919). The metric fallacy (2 ed.). The American Institute of Weights and Measures. pp. 165-166, 176-177. Retrieved 2009.
17. ^ "Canadian Units of Measurement; Department of Justice, Weights and Measures Act (R.S.C., 1985, c. W-6)". 17 May 2011. Archived from the original on 13 May 2011. Retrieved 2011.
18. ^ Pearlstein, Steven (4 June 2000). "Did Canada go metric? Yes - and no". The Seattle Times. Retrieved 2011.
19. ^ "Example of analog thermometer frequently used in Canada". Archived from the original on 6 July 2011. Retrieved 2011.
20. ^ "Example of digital thermometer frequently used in Canada". Archived from the original on 6 July 2011. Retrieved 2011.
21. ^ Department of Justice (26 February 2009). "Canadian Weights and Measures Act". Federal Government of Canada. Archived from the original on 6 July 2011. Retrieved 2011.
22. ^ Statutory Instrument 2009/3046 - Weights and Measures - The Units of Measurement Regulations 2009 (PDF), archived from the original (PDF) on 2017-01-01, "The Secretary of State, being a Minister designated(a) for the purposes of section 2(2) of the European Communities Act 1972(b) in relation to units of measurement to be used for economic, health, safety, or administrative purposes, in exercise of the powers conferred by that subsection, makes the following Regulations:
23. ^ "Home Laundering Consultative Council - What Symbols Mean". Home Laundering Consultative Council. Retrieved 2013.
24. ^ "Guide to Common Home Laundering & Drycleaning Symbols". Textile Industry Affairs. 2010. Retrieved 2013.
25. ^ "Guide to Apparel and Textile Care Symbols". Office of Consumer Affairs, Government of Canada. Retrieved 2013.
26. ^ "Weather". The Daily Mail. 3 July 2013. p. 3.
27. ^ "Weather". The Daily Telegraph. 3 July 2013. p. 31.
28. ^ "Weather". The Times. 3 July 2013. p. 55.
29. ^ "Measure for measure". The Times. Times Newspapers. 23 February 2006.
30. ^ "22.2". The Unicode Standard, Version 8.0 (PDF). Mountain View, CA, USA: The Unicode Consortium. August 2015. ISBN 978-1-936213-10-8. Retrieved 2015.