This is a collection of temperature conversion formulas and comparisons among eight different temperature scales, several of which have long been obsolete.
Temperatures on scales that either do not share a numeric zero or are nonlinearly related cannot correctly be mathematically equated (related using the symbol =), and thus temperatures on different scales are more correctly described as corresponding (related using the symbol ≘).
Celsius scale
Further information: Celsius
Temperature conversions| from Celsius | to Celsius | |
|---|---|---|
| Kelvin | x °C ≘ (x + 273.15) K | x K ≘ (x − 273.15) °C |
| Fahrenheit | x °C ≘ (x × 9/5 + 32) °F | x °F ≘ (x − 32) × 5/9 °C |
| Rankine | x °C ≘ (x + 273.15) × 9/5 °R | x °R ≘ (x − 491.67) × 5/9 °C |
Kelvin scale
Further information: Kelvin
Temperature conversions| from Kelvin | to Kelvin | |
|---|---|---|
| Celsius | x K ≘ (x − 273.15) °C | x °C ≘ (x + 273.15) K |
| Fahrenheit | x K ≘ (x × 9/5 − 459.67) °F | x °F ≘ (x + 459.67) × 5/9 K |
| Rankine | x K ≘ x × 9/5 °R | x °R ≘ x × 5/9 K |
Fahrenheit scale
Further information: Fahrenheit
Temperature conversions| from Fahrenheit | to Fahrenheit | |
|---|---|---|
| Celsius | x °F ≘ (x − 32) × 5/9 °C | x °C ≘ (x × 9/5 + 32) °F |
| Kelvin | x °F ≘ (x + 459.67) × 5/9 K | x K ≘ (x × 9/5 − 459.67) °F |
| Rankine | x °F ≘ (x + 459.67) °R | x °R ≘ (x − 459.67) °F |
Rankine scale
Further information: Rankine scale
Temperature conversions| from Rankine | to Rankine | |
|---|---|---|
| Celsius | x °R ≘ (x − 491.67) × 5/9 °C | x °C ≘ (x + 273.15) × 9/5 °R |
| Kelvin | x °R ≘ x × 5/9 K | x K ≘ x × 9/5 °R |
| Fahrenheit | x °R ≘ (x − 459.67) °F | x °F ≘ (x + 459.67) °R |
Delisle scale
Further information: Delisle scale
Temperature conversions| from Delisle | to Delisle | |
|---|---|---|
| Celsius | x °De ≘ (100 − x × 2/3) °C | x °C ≘ (100 − x) × 3/2 °De |
| Kelvin | x °De ≘ (373.15 − x × 2/3) K | x K ≘ (373.15 − x) × 3/2 °De |
| Fahrenheit | x °De ≘ (212 − x × 6/5) °F | x °F ≘ (212 − x) × 5/6 °De |
| Rankine | x °De ≘ (671.67 − x × 6/5) °R | x °R ≘ (671.67 − x) × 5/6 °De |
Newton scale
Further information: Newton scale
Not to be confused with newton (a unit of force).
Temperature conversions| from Newton | to Newton | |
|---|---|---|
| Celsius | x °N ≘ x × 100/33 °C | x °C ≘ x × 33/100 °N |
| Kelvin | x °N ≘ (x × 100/33 + 273.15) K | x K ≘ (x − 273.15) × 33/100 °N |
| Fahrenheit | x °N ≘ (x × 60/11 + 32) °F | x °F ≘ (x − 32) × 11/60 °N |
| Rankine | x °N ≘ (60/11 x + 491.67) °R | x °R ≘ (x − 491.67) × 11/60 °N |
Réaumur scale
Further information: Réaumur scale
Temperature conversions| from Réaumur | to Réaumur | |
|---|---|---|
| Celsius | x °Ré ≘ x × 5/4 °C | x °C ≘ x × 4/5 °Ré |
| Kelvin | x °Ré ≘ (x × 5/4 + 273.15) K | x K ≘ (x − 273.15) × 4/5 °Ré |
| Fahrenheit | x °Ré ≘ (x × 9/4 + 32) °F | x °F ≘ (x − 32) × 4/9 °Ré |
| Rankine | x °Ré ≘ (x × 9/4 + 491.67) °R | x °R ≘ (x − 491.67) × 4/9 °Ré |
Rømer scale
Further information: Rømer scale
Temperature conversions| from Rømer | to Rømer | |
|---|---|---|
| Celsius | x °Rø ≘ (x − 7.5) × 40/21 °C | x °C ≘ (x × 21/40 + 7.5) °Rø |
| Kelvin | x °Rø ≘ ((x − 7.5) × 40/21 + 273.15) K | x K ≘ ((x − 273.15) × 21/40 + 7.5) °Rø |
| Fahrenheit | x °Rø ≘ ((x − 7.5) × 24/7 + 32) °F | x °F ≘ ((x − 32) × 7/24 + 7.5) °Rø |
| Rankine | x °Rø ≘ ((x − 7.5) × 24/7 + 491.67) °R | x °R ≘ ((x − 491.67) × 7/24 + 7.5) °Rø |
Conversion calculator
Temperature Conversion Calculator| Celsius | Fahrenheit | Kelvin | Rankine | Delisle | Newton | Réaumur | Rømer |
|---|---|---|---|---|---|---|---|
| 0 | 32 | 273.15 | 491.67 | 150 | 0 | 0 | 7.5 |
Comparison values chart
| Celsius | Fahrenheit | Kelvin | Rankine | Delisle | Newton | Réaumur | Rømer |
|---|---|---|---|---|---|---|---|
| 500.00 | 932.00 | 773.15 | 1391.67 | −600.00 | 165.00 | 400.00 | 270.00 |
| 490.00 | 914.00 | 763.15 | 1373.67 | −585.00 | 161.70 | 392.00 | 264.75 |
| 480.00 | 896.00 | 753.15 | 1355.67 | −570.00 | 158.40 | 384.00 | 259.50 |
| 470.00 | 878.00 | 743.15 | 1337.67 | −555.00 | 155.10 | 376.00 | 254.25 |
| 460.00 | 860.00 | 733.15 | 1319.67 | −540.00 | 151.80 | 368.00 | 249.00 |
| 450.00 | 842.00 | 723.15 | 1301.67 | −525.00 | 148.50 | 360.00 | 243.75 |
| 440.00 | 824.00 | 713.15 | 1283.67 | −510.00 | 145.20 | 352.00 | 238.50 |
| 430.00 | 806.00 | 703.15 | 1265.67 | −495.00 | 141.90 | 344.00 | 233.25 |
| 420.00 | 788.00 | 693.15 | 1247.67 | −480.00 | 138.60 | 336.00 | 228.00 |
| 410.00 | 770.00 | 683.15 | 1229.67 | −465.00 | 135.30 | 328.00 | 222.75 |
| 400.00 | 752.00 | 673.15 | 1211.67 | −450.00 | 132.00 | 320.00 | 217.50 |
| 390.00 | 734.00 | 663.15 | 1193.67 | −435.00 | 128.70 | 312.00 | 212.25 |
| 380.00 | 716.00 | 653.15 | 1175.67 | −420.00 | 125.40 | 304.00 | 207.00 |
| 370.00 | 698.00 | 643.15 | 1157.67 | −405.00 | 122.10 | 296.00 | 201.75 |
| 360.00 | 680.00 | 633.15 | 1139.67 | −390.00 | 118.80 | 288.00 | 196.50 |
| 350.00 | 662.00 | 623.15 | 1121.67 | −375.00 | 115.50 | 280.00 | 191.25 |
| 340.00 | 644.00 | 613.15 | 1103.67 | −360.00 | 112.20 | 272.00 | 186.00 |
| 330.00 | 626.00 | 603.15 | 1085.67 | −345.00 | 108.90 | 264.00 | 180.75 |
| 320.00 | 608.00 | 593.15 | 1067.67 | −330.00 | 105.60 | 256.00 | 175.50 |
| 310.00 | 590.00 | 583.15 | 1049.67 | −315.00 | 102.30 | 248.00 | 170.25 |
| 300.00 | 572.00 | 573.15 | 1031.67 | −300.00 | 99.00 | 240.00 | 165.00 |
| 290.00 | 554.00 | 563.15 | 1013.67 | −285.00 | 95.70 | 232.00 | 159.75 |
| 280.00 | 536.00 | 553.15 | 995.67 | −270.00 | 92.40 | 224.00 | 154.50 |
| 270.00 | 518.00 | 543.15 | 977.67 | −255.00 | 89.10 | 216.00 | 149.25 |
| 260.00 | 500.00 | 533.15 | 959.67 | −240.00 | 85.80 | 208.00 | 144.00 |
| 250.00 | 482.00 | 523.15 | 941.67 | −225.00 | 82.50 | 200.00 | 138.75 |
| 240.00 | 464.00 | 513.15 | 923.67 | −210.00 | 79.20 | 192.00 | 133.50 |
| 230.00 | 446.00 | 503.15 | 905.67 | −195.00 | 75.90 | 184.00 | 128.25 |
| 220.00 | 428.00 | 493.15 | 887.67 | −180.00 | 72.60 | 176.00 | 123.00 |
| 210.00 | 410.00 | 483.15 | 869.67 | −165.00 | 69.30 | 168.00 | 117.75 |
| 200.00 | 392.00 | 473.15 | 851.67 | −150.00 | 66.00 | 160.00 | 112.50 |
| 190.00 | 374.00 | 463.15 | 833.67 | −135.00 | 62.70 | 152.00 | 107.25 |
| 180.00 | 356.00 | 453.15 | 815.67 | −120.00 | 59.40 | 144.00 | 102.00 |
| 170.00 | 338.00 | 443.15 | 797.67 | −105.00 | 56.10 | 136.00 | 96.75 |
| 160.00 | 320.00 | 433.15 | 779.67 | −90.00 | 52.80 | 128.00 | 91.50 |
| 150.00 | 302.00 | 423.15 | 761.67 | −75.00 | 49.50 | 120.00 | 86.25 |
| 140.00 | 284.00 | 413.15 | 743.67 | −60.00 | 46.20 | 112.00 | 81.00 |
| 130.00 | 266.00 | 403.15 | 725.67 | −45.00 | 42.90 | 104.00 | 75.75 |
| 120.00 | 248.00 | 393.15 | 707.67 | −30.00 | 39.60 | 96.00 | 70.50 |
| 110.00 | 230.00 | 383.15 | 689.67 | −15.00 | 36.30 | 88.00 | 65.25 |
| 100.00 | 212.00 | 373.15 | 671.67 | 0.00 | 33.00 | 80.00 | 60.00 |
| 90.00 | 194.00 | 363.15 | 653.67 | 15.00 | 29.70 | 72.00 | 54.75 |
| 80.00 | 176.00 | 353.15 | 635.67 | 30.00 | 26.40 | 64.00 | 49.50 |
| 70.00 | 158.00 | 343.15 | 617.67 | 45.00 | 23.10 | 56.00 | 44.25 |
| 60.00 | 140.00 | 333.15 | 599.67 | 60.00 | 19.80 | 48.00 | 39.00 |
| 50.00 | 122.00 | 323.15 | 581.67 | 75.00 | 16.50 | 40.00 | 33.75 |
| 40.00 | 104.00 | 313.15 | 563.67 | 90.00 | 13.20 | 32.00 | 28.50 |
| 30.00 | 86.00 | 303.15 | 545.67 | 105.00 | 9.90 | 24.00 | 23.25 |
| 20.00 | 68.00 | 293.15 | 527.67 | 120.00 | 6.60 | 16.00 | 18.00 |
| 10.00 | 50.00 | 283.15 | 509.67 | 135.00 | 3.30 | 8.00 | 12.75 |
| 0.00 | 32.00 | 273.15 | 491.67 | 150.00 | 0.00 | 0.00 | 7.50 |
| −10.00 | 14.00 | 263.15 | 473.67 | 165.00 | −3.30 | −8.00 | 2.25 |
| −14.26 | 6.29 | 258.86 | 465.96 | 171.43 | −4.71 | −11.43 | 0.00 |
| −17.78 | 0.00 | 255.37 | 459.67 | 176.67 | −5.87 | −14.22 | −1.83 |
| −20.00 | −4.00 | 253.15 | 455.67 | 180.00 | −6.60 | −16.00 | −3.00 |
| −30.00 | −22.00 | 243.15 | 437.67 | 195.00 | −9.90 | −24.00 | −8.25 |
| −40.00 | −40.00 | 233.15 | 419.67 | 210.00 | −13.20 | −32.00 | −13.50 |
| −50.00 | −58.00 | 223.15 | 401.67 | 225.00 | −16.50 | −40.00 | −18.75 |
| −60.00 | −76.00 | 213.15 | 383.67 | 240.00 | −19.80 | −48.00 | −24.00 |
| −70.00 | −94.00 | 203.15 | 365.67 | 255.00 | −23.10 | −56.00 | −29.25 |
| −80.00 | −112.00 | 193.15 | 347.67 | 270.00 | −26.40 | −64.00 | −34.50 |
| −90.00 | −130.00 | 183.15 | 329.67 | 285.00 | −29.70 | −72.00 | −39.75 |
| −100.00 | −148.00 | 173.15 | 311.67 | 300.00 | −33.00 | −80.00 | −45.00 |
| −110.00 | −166.00 | 163.15 | 293.67 | 315.00 | −36.30 | −88.00 | −50.25 |
| −120.00 | −184.00 | 153.15 | 275.67 | 330.00 | −39.60 | −96.00 | −55.50 |
| −130.00 | −202.00 | 143.15 | 257.67 | 345.00 | −42.90 | −104.00 | −60.75 |
| −140.00 | −220.00 | 133.15 | 239.67 | 360.00 | −46.20 | −112.00 | −66.00 |
| −150.00 | −238.00 | 123.15 | 221.67 | 375.00 | −49.50 | −120.00 | −71.25 |
| −160.00 | −256.00 | 113.15 | 203.67 | 390.00 | −52.80 | −128.00 | −76.50 |
| −170.00 | −274.00 | 103.15 | 185.67 | 405.00 | −56.10 | −136.00 | −81.75 |
| −180.00 | −292.00 | 93.15 | 167.67 | 420.00 | −59.40 | −144.00 | −87.00 |
| −190.00 | −310.00 | 83.15 | 149.67 | 435.00 | −62.70 | −152.00 | −92.25 |
| −200.00 | −328.00 | 73.15 | 131.67 | 450.00 | −66.00 | −160.00 | −97.50 |
| −210.00 | −346.00 | 63.15 | 113.67 | 465.00 | −69.30 | −168.00 | −102.75 |
| −220.00 | −364.00 | 53.15 | 95.67 | 480.00 | −72.60 | −176.00 | −108.00 |
| −230.00 | −382.00 | 43.15 | 77.67 | 495.00 | −75.90 | −184.00 | −113.25 |
| −240.00 | −400.00 | 33.15 | 59.67 | 510.00 | −79.20 | −192.00 | −118.50 |
| −250.00 | −418.00 | 23.15 | 41.67 | 525.00 | −82.50 | −200.00 | −123.75 |
| −260.00 | −436.00 | 13.15 | 23.67 | 540.00 | −85.80 | −208.00 | −129.00 |
| −270.00 | −454.00 | 3.15 | 5.67 | 555.00 | −89.10 | −216.00 | −134.25 |
| −273.15 | −459.67 | 0.00 | 0.00 | 559.725 | −90.1395 | −218.52 | −135.90375 |
| Celsius | Fahrenheit | Kelvin | Rankine | Delisle | Newton | Réaumur | Rømer |
Comparison of temperature scales
Comparison of temperature scales| Comment | Kelvin | Celsius | Fahrenheit | Rankine | Delisle | Newton | Réaumur | Rømer |
|---|---|---|---|---|---|---|---|---|
| Absolute zero | 0.00 | −273.15 | −459.67 | 0.00 | 559.73 | −90.14 | −218.52 | −135.90 |
| Lowest recorded surface temperature on Earth1 | 184 | −89.22 | −128.63 | 331 | 284 | −29 | −71 | −39 |
| Fahrenheit's ice/salt mixture | 255.37 | −17.78 | 0.00 | 459.67 | 176.67 | −5.87 | −14.22 | −1.83 |
| Ice melts (at standard pressure) | 273.15 | 0.00 | 32.00 | 491.67 | 150.00 | 0.00 | 0.00 | 7.50 |
| Triple point of water | 273.16 | 0.01 | 32.018 | 491.688 | 149.985 | 0.0033 | 0.008 | 7.50525 |
| Average surface temperature on Earth | 288 | 15 | 59 | 519 | 128 | 5 | 12 | 15 |
| Average human body temperature* | 310 | 37 | 98 | 558 | 95 | 12 | 29 | 27 |
| Highest recorded surface temperature on Earth4 | 331 | 585 | 136.46 | 596 | 63 | 19 | 46 | 38 |
| Water boils (at standard pressure) | 373.1339 | 99.9839 | 211.97102 | 671.64102 | 0.00 | 33.00 | 80.00 | 60.00 |
| Titanium melts | 1941 | 1668 | 3034 | 3494 | −2352 | 550 | 1334 | 883 |
| The surface of the Sun | 5800 | 5500 | 9900 | 10400 | −8100 | 1800 | 4400 | 2900 |
* Normal human body temperature is 36.8 °C ±0.7 °C, or 98.2 °F ±1.3 °F. The commonly given value 98.6 °F is simply the exact conversion of the nineteenth-century German standard of 37 °C. Since it does not list an acceptable range, it could therefore be said to have excess (invalid) precision.7
Some numbers in this table have been rounded.
Graphical representation
| Rankine (°R) | ||||||||||
| Kelvin (K) | ||||||||||
| Fahrenheit (°F) | ||||||||||
| Celsius (°C)Réaumur (°Ré)Rømer (°Rø)Newton (°N) | ||||||||||
| Delisle (°D) | ||||||||||
| Absolute zero | Lowest recorded surface temperature on Earth8 | Fahrenheit's ice/water/salt mixture | Melting point of ice (at standard pressure) | Average surface temperature on Earth (15 °C) | Average human body temperature (37 °C) | Highest recorded surface temperature on Earth9 | Boiling point of water (at standard pressure) | |||
Conversion table between the different temperature units
Converting units of temperature differences
Converting units of temperature differences (also referred to as temperature deltas) is not the same as converting absolute temperature values, and different formulae must be used.
To convert a delta temperature from degrees Fahrenheit to degrees Celsius, the formula is {ΔT}°F = 9/5{ΔT}°C.
To convert a delta temperature from degrees Celsius to kelvin, it is 1:1 ({ΔT}°C = {ΔT}K).
See also
Notes and references
References
The Coldest Inhabited Places on Earth; researchers of the Vostok Station recorded the coldest known temperature on Earth on July 21st 1983: −89.2 °C (−128.6 °F). https://www.expertsure.com/2008/12/14/the-coldest-inhabited-places-on-earth/ ↩
The Coldest Inhabited Places on Earth; researchers of the Vostok Station recorded the coldest known temperature on Earth on July 21st 1983: −89.2 °C (−128.6 °F). https://www.expertsure.com/2008/12/14/the-coldest-inhabited-places-on-earth/ ↩
The Coldest Inhabited Places on Earth; researchers of the Vostok Station recorded the coldest known temperature on Earth on July 21st 1983: −89.2 °C (−128.6 °F). https://www.expertsure.com/2008/12/14/the-coldest-inhabited-places-on-earth/ ↩
"World: Highest Temperature". Arizona State University, School of Geographical Sciences. November 12, 2007. Archived from the original on January 4, 2013. an Italian weather station in al 'Aziziyah (Libya) measured a temperature of 58 °C (136.4 °F) on September 13th 1922. "Although this record has gained general acceptance as the world's highest temperature recorded under standard conditions, the validity of the extreme has been questioned." https://web.archive.org/web/20130104143844/http://wmo.asu.edu/world-highest-temperature ↩
"World: Highest Temperature". Arizona State University, School of Geographical Sciences. November 12, 2007. Archived from the original on January 4, 2013. an Italian weather station in al 'Aziziyah (Libya) measured a temperature of 58 °C (136.4 °F) on September 13th 1922. "Although this record has gained general acceptance as the world's highest temperature recorded under standard conditions, the validity of the extreme has been questioned." https://web.archive.org/web/20130104143844/http://wmo.asu.edu/world-highest-temperature ↩
"World: Highest Temperature". Arizona State University, School of Geographical Sciences. November 12, 2007. Archived from the original on January 4, 2013. an Italian weather station in al 'Aziziyah (Libya) measured a temperature of 58 °C (136.4 °F) on September 13th 1922. "Although this record has gained general acceptance as the world's highest temperature recorded under standard conditions, the validity of the extreme has been questioned." https://web.archive.org/web/20130104143844/http://wmo.asu.edu/world-highest-temperature ↩
Wong, Lena (1997). Elert, Glenn (ed.). "Temperature of a healthy human (body temperature)". The Physics Factbook. Retrieved 2018-06-07. https://hypertextbook.com/facts/1997/LenaWong.shtml ↩
The Coldest Inhabited Places on Earth; researchers of the Vostok Station recorded the coldest known temperature on Earth on July 21st 1983: −89.2 °C (−128.6 °F). https://www.expertsure.com/2008/12/14/the-coldest-inhabited-places-on-earth/ ↩
"World: Highest Temperature". Arizona State University, School of Geographical Sciences. November 12, 2007. Archived from the original on January 4, 2013. an Italian weather station in al 'Aziziyah (Libya) measured a temperature of 58 °C (136.4 °F) on September 13th 1922. "Although this record has gained general acceptance as the world's highest temperature recorded under standard conditions, the validity of the extreme has been questioned." https://web.archive.org/web/20130104143844/http://wmo.asu.edu/world-highest-temperature ↩