Fahrenheit

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Thermometer with Fahrenheit and Celsius units

Fahrenheit (symbol °F) is a temperature scale based on one proposed in 1724 by the German physicist Daniel Gabriel Fahrenheit (1686–1736), after whom the scale is named.[1] There exist several accounts of how he originally defined his scale. The lower defining point, 0 degrees, 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 water (32 degrees) and his best estimate of the average human body temperature (96 degrees, about 2-1/2 degrees less than modern measurements).[2] The scale is now usually defined by two fixed points: the temperature at which water freezes into ice is defined as 32 degrees, and the boiling point of water is defined to be 212 degrees, a 180-degree separation, as defined at sea level and standard atmospheric pressure.

By the end of the 20th century, Fahrenheit was only used as the official temperature scale in the United States, the Bahamas, Belize, the Cayman Islands, and Palau as well as being the most common unofficial scale in many of the current and former US unincorporated territories, as well as Great Britain. All other countries in the world now use the Celsius scale, defined since 1954 by absolute zero being -273.15° and the triple point of water being at 0.01°.[3]

Definition and conversions

Fahrenheit temperature conversion formulae
from Fahrenheit to Fahrenheit
Celsius [°C] = ([°F] − 32) × ​59 [°F] = [°C] × ​95 + 32
Kelvin [K] = ([°F] + 459.67) × ​59 [°F] = [K] × ​95 − 459.67
Rankine [°R] = [°F] + 459.67 [°F] = [°R] − 459.67
For temperature intervals rather than specific temperatures,
1 °F = 1 °R = ​59 °C = ​59 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.[4] Therefore, a degree on the Fahrenheit scale is ​1180 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 ​59 degrees Celsius. The Fahrenheit and Celsius scales intersect at −40° (−40 °F and −40 °C represent the same temperature).

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.[4]

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"),[5] 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:

 •Fahrenheit to Celsius : (°F − 32) ÷ 1.8 =°C
 •Celsius to Fahrenheit : (°C × 1.8) + 32 =°F

An approximate conversion between degrees Celsius and degrees Fahrenheit is as follows:

 •Fahrenheit to Celsius: Subtract 30 and halve the resulting number.
 •Celsius to Fahrenheit: Double the number and add 30.

This formula gives an answer correct to within ±2.8 °C from 1 °F to 100 °F and is exact at 50 °F (calculations below).

     ((1 - 30) ÷ 2) - ((1 - 32) ÷ 1.8) = 2.72
    ((50 - 30) ÷ 2) - ((50 - 32) ÷ 1.8) = 0
  ((100 - 30) ÷ 2) - ((100 - 32) ÷ 1.8) = 2.77

History

Daniel Gabriel Fahrenheit

Fahrenheit proposed his temperature scale in 1724, basing it on three reference points of temperature.[4] In his initial scale (which is not the final Fahrenheit scale), the zero point is determined by placing the thermometer in brine: he used a mixture of ice, water, and ammonium chloride, a salt, at a 1:1:1 ratio[clarification needed]. This is a frigorific mixture which stabilizes its temperature automatically: that stable temperature was defined as 0 °F (−17.78 °C). The second point, at 32 degrees, was a mixture of ice and water without the ammonium chloride at a 1:1 ratio. The third point, 96 degrees, was approximately the human body temperature, then called "blood-heat".[6]

According to a story and trivia questions 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.[7] 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,[8] 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).[6][9]

Fahrenheit observed that water boils at about 212 degrees using this scale. Later, other scientists[who?] decided to redefine the scale slightly to make the freezing point exactly 32 °F, and the boiling point exactly 212 °F or 180 degrees higher.[citation needed] 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).[10]

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

  Countries which use Fahrenheit.
  Countries which use Celsius.

Usage

Thermometer CF.svg

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 Bahamas, Belize, the Cayman Islands, Palau, and the United States and associated territories of American Samoa and the U.S. Virgin Islands for everyday applications (although Puerto Rico and Guam use Celsius alongside Fahrenheit as well). 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.[11]

Early in the twentieth 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.[12]

Canada has passed legislation favoring the International System of Units, while also maintaining legal definitions for traditional Canadian imperial units.[13] 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.[14] Thermometers, both digital and analog, sold in Canada usually employ both the Celsius and Fahrenheit scales.[15][16][17] 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.[18] 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.[19] The equivalent label in North America uses one to six dots to denote temperature with an optional temperature in degrees Celsius.[20][21]

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,[22] The Daily Telegraph does not mention Fahrenheit on its daily weather page[23] while The Times also has an all-metric daily weather page but has a Celsius-to-Fahrenheit conversion table.[24] 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. 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".[25]

Unicode representation of symbol

Unicode provides the Fahrenheit symbol at codepoint U+2109 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 U+00B0 ° DEGREE SIGN +U+0046 F LATIN CAPITAL LETTER F is preferred over U+2109 DEGREE FAHRENHEIT, and those two sequences should be treated as identical for searching."[26]

See also

Notes and references

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  2. Fahrenheit temperature scale, Encyclopedia Britannica Online. 25 September 2015
  3. Celsius vs. Fahrenheit
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  8. 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
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External links