Rankine scale: Difference between revisions

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{{Dablink|For the idealized thermodynamic cycle for a steam engine, see [[Rankine cycle]]. For the scale measuring recovery after stroke, see [[modified Rankin scale]].}}
{{Dablink|For the idealized thermodynamic cycle for a steam engine, see [[Rankine cycle]]. For the scale measuring recovery after stroke, see [[modified Rankin scale]].}}
{| class="wikitable" align="right" style="margin: 0 0 0.5em 1em;"
{{temperature}}
|+'''Rankine temperature conversion formulae'''
|-
!
!from Rankine
!to Rankine
|-
!height=30pt|[[Celsius]]
|[°C]&nbsp;=&nbsp;([°R]&nbsp;−&nbsp;491.67)&nbsp;×&nbsp;<span class="frac"><sup>5</sup>⁄<sub>9</sub></span>
|[°R]&nbsp;=&nbsp;([°C]&nbsp;+&nbsp;273.15)&nbsp;×&nbsp;<span class="frac"><sup>9</sup>⁄<sub>5</sub></span>
|-
!height=30pt|[[Fahrenheit]]
|[°F]&nbsp;=&nbsp;[°R]&nbsp;−&nbsp;459.67
|[°R]&nbsp;=&nbsp;[°F]&nbsp;+&nbsp;459.67
|-
!height=30pt|[[Kelvin]]
|[K]&nbsp;=&nbsp;[°R]&nbsp;×&nbsp;<span class="frac"><sup>5</sup>⁄<sub>9</sub></span>
|[°R]&nbsp;=&nbsp;[K]&nbsp;×&nbsp;<span class="frac"><sup>9</sup>⁄<sub>5</sub></span>

|-
|colspan="3" align="center" | For temperature ''intervals'' rather than specific temperatures,<br/>1 R = 1 °F = <span class="frac"><sup>5</sup>⁄<sub>9</sub></span> °C = <span class="frac"><sup>5</sup>⁄<sub>9</sub></span> K<br/><small>[[temperature conversion formulas|Comparisons among various temperature scales]]
|}
'''Rankine''' is a [[thermodynamic temperature|thermodynamic (absolute) temperature]] scale named after the Scottish [[engineer]] and [[physicist]] [[William John Macquorn Rankine]], who proposed it in 1859.
'''Rankine''' is a [[thermodynamic temperature|thermodynamic (absolute) temperature]] scale named after the Scottish [[engineer]] and [[physicist]] [[William John Macquorn Rankine]], who proposed it in 1859.



Revision as of 13:41, 4 September 2010

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 is a thermodynamic (absolute) temperature scale named after the Scottish engineer and physicist William John Macquorn Rankine, who proposed it in 1859.

The symbol for degrees Rankine is °R[1] (or °Ra if necessary to distinguish it from the Rømer and Réaumur scales). 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 °F is exactly equal to 0 °R.

Some engineering fields in the U.S. and Canada measure thermodynamic temperature using the Rankine scale.[2] However, throughout most of the scientific world thermodynamic temperature is measured in Kelvin, including in the United States and Canada.[2] The US National Institute of Standards and Technology does not recommend using degrees Rankine in NIST publications.[1]

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 water[3] 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[4] 373.1339 K 99.9839 °C 211.9710 °F 671.641 °R

Conversion table between the different temperature units

Kelvin


Celsius


Fahrenheit


Rankine scale


Rømer scale


Newton scale


Delisle scale


Réaumur scale

References

  1. ^ a b 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
  2. ^ a b http://www.physorg.com/tags/temperature/
  3. ^ The ice point of purified water has been measured to be 0.000089(10) degrees Celsius - see Magnum, B.W. (1995). "Reproducibility of the Temperature of the Ice Point in Routine Measurements" (PDF). Nist Technical Note. 1411. Retrieved 2007-02-11. {{cite journal}}: Unknown parameter |month= ignored (help)
  4. ^ 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.

See also