|from Rankine||to Rankine|
|Celsius||[°C] = ([°R] − 491.67) × 5⁄9||[°R] = ([°C] + 273.15) × 9⁄5|
|Fahrenheit||[°F] = [°R] − 459.67||[°R] = [°F] + 459.67|
|Kelvin||[K] = [°R] × 5⁄9||[°R] = [K] × 9⁄5|
|For temperature intervals rather than specific temperatures,
1 °R = 1 °F = 5⁄9 °C = 5⁄9 K
Comparisons among various temperature scales
The Rankine scale (//) is an absolute scale of thermodynamic temperature 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.) It may be used in engineering systems where heat computations are done using degrees Fahrenheit.
The symbol for degrees Rankine is °R (or °Ra if necessary to distinguish it from the Rømer and Réaumur scales). By analogy with kelvin, some authors term the unit rankine, omitting the degree symbol. Zero on both the Kelvin and Rankine scales is absolute zero, but a temperature difference of one Rankine degree is defined as equal to one Fahrenheit degree, rather than the Celsius degree used on the Kelvin scale. Thus, a temperature of 0 K (−273.15 °C; −459.67 °F) is equal to 0 °R, and a temperature of−458.67 °F equal to 1 °R.
Some important temperatures relating the Rankine scale to other temperature scales are shown in the table below.
|0 K||−273.15 °C||−459.67 °F||0 °R|
|Freezing point of brine
(zero point of Fahrenheit scale, old definition)
|255.37 K||−17.78 °C||0 °F||459.67 °R|
|Freezing point of water||273.15 K||0 °C||32 °F||491.67 °R|
|Triple point of water
|273.16 K||0.01 °C||32.018 °F||491.688 °R|
|Boiling point of water||373.1339 K||99.9839 °C||211.97102 °F||671.64102 °R|
Conversion table between the temperature units
Notes and references
- 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
- Pauken, Michael (2011). Thermodynamics For Dummies. Indianapolis: Wiley Publishing Inc. p. 20. ISBN 978-1-118-00291-9.
- Balmer, Robert (2011). Modern Engineering Thermodynamics. Oxford: Elsevier Inc. p. 10. ISBN 978-0-12-374996-3.
- The ice point of purified water has been measured to be 0.000089(10) degrees Celsius – see Magnum, B.W. (June 1995). "Reproducibility of the Temperature of the Ice Point in Routine Measurements" (PDF). Nist Technical Note. 1411. Archived from the original (PDF) on 2007-03-07. Retrieved 2007-02-11.
- 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.
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