Rankine scale

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Rankine temperature conversion formulae
from Rankine to Rankine
Celsius [°C] = ([°R] − 491.67) × ​59 [°R] = ([°C] + 273.15) × ​95
Fahrenheit [°F] = [°R] − 459.67 [°R] = [°F] + 459.67
Kelvin [K] = [°R] × ​59 [°R] = [K] × ​95
For temperature intervals rather than specific temperatures,
1 °R = 1 °F = ​59 °C = ​59 K
Comparisons among various temperature scales

Rankine (/ˈræŋkɪn/) is a thermodynamic temperature based on an absolute scale named after the Glasgow University engineer and physicist William John Macquorn Rankine, who proposed it in 1859. (The Kelvin scale was first proposed in 1848.)[1]

The symbol for degrees Rankine is °R[2] (or °Ra if necessary to distinguish it from the Rømer and Réaumur scales). By analogy with kelvin, some authors call the unit rankine, omitting the degree symbol.[3][4] Zero on both the Kelvin and Rankine scales is absolute zero, but the Rankine degree is defined as equal to one degree Fahrenheit, rather than the one degree Celsius used by the Kelvin scale. A temperature of 459.67 °R is exactly equal to 0 °F.

Some engineering fields[which?] in the United States measure thermodynamic temperature using the Rankine scale.[5] The US National Institute of Standards and Technology recommends against using degrees Rankine in NIST publications.[2]

Some key temperatures relating the Rankine scale to other temperature scales are shown in the table below.

Kelvin Celsius Fahrenheit Rankine
Absolute zero
(by definition)
0 K −273.15 °C −459.67 °F 0 °R
Freezing point of brine
(by definition (on Fahrenheit scale only))
255.37 K −17.78 °C 0 °F 459.67 °R
Freezing point of water[6] 273.15 K 0 °C 32 °F 491.67 °R
Triple point of water
(by definition)
273.16 K 0.01 °C 32.018 °F 491.688 °R
Boiling point of water[7] 373.1339 K 99.9839 °C 211.97102 °F 671.64102 °R

Conversion table between the temperature units








See also

Notes and references

  1. http://www.merriam-webster.com/dictionary/rankine
  2. 2.0 2.1 B.8 Factors for Units Listed Alphabetically from Guide for the Use of the International System of Units (SI), NIST Special Publication 811, 2008 edition, Ambler Thompson and Barry N. Taylor
  3. Lua error in package.lua at line 80: module 'strict' not found.
  4. Lua error in package.lua at line 80: module 'strict' not found.
  5. http://www.physorg.com/tags/temperature/
  6. The ice point of purified water has been measured to be 0.000089(10) degrees Celsius – see Lua error in package.lua at line 80: module 'strict' not found.
  7. For Vienna Standard Mean Ocean Water at one standard atmosphere (101.325 kPa) when calibrated solely per the two-point definition of thermodynamic temperature. Older definitions of the Celsius scale once defined the boiling point of water under one standard atmosphere as being precisely 100 °C. However, the current definition results in a boiling point that is actually 16.1 mK less. For more about the actual boiling point of water, see VSMOW in temperature measurement.

External links


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