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# Temperature conversion formulas

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 Title: Temperature conversion formulas Author: World Heritage Encyclopedia Language: English Subject: Collection: Publisher: World Heritage Encyclopedia Publication Date:

### Temperature conversion formulas

This is a compendium of temperature conversion formulas and comparisons between seven different temperature scales, several of which have long been obsolete.

## Kelvin

from Kelvin to Kelvin
Celsius [°C] = [K] − 273.15 [K] = [°C] + 273.15
Fahrenheit [°F] = [K] × 95 − 459.67 [K] = ([°F] + 459.67) × 59
Rankine [°R] = [K] × 95 [K] = [°R] × 59
Delisle [°De] = (373.15 − [K]) × 32 [K] = 373.15 − [°De] × 23
Newton [°N] = ([K] − 273.15) × 33100 [K] = [°N] × 10033 + 273.15
Réaumur [°Ré] = ([K] − 273.15) × 45 [K] = [°Ré] × 54 + 273.15
Rømer [°Rø] = ([K] − 273.15) × 2140 + 7.5 [K] = ([°Rø] − 7.5) × 4021 + 273.15

from Celsius to Celsius
Fahrenheit [°F] = [°C] × 95 + 32 [°C] = ([°F] − 32) × 59
Kelvin [K] = [°C] + 273.15 [°C] = [K] − 273.15
Rankine [°R] = ([°C] + 273.15) × 95 [°C] = ([°R] − 491.67) × 59
Delisle [°De] = (100 − [°C]) × 32 [°C] = 100 − [°De] × 23
Newton [°N] = [°C] × 33100 [°C] = [°N] × 10033
Réaumur [°Ré] = [°C] × 45 [°C] = [°Ré] × 54
Rømer [°Rø] = [°C] × 2140 + 7.5 [°C] = ([°Rø] − 7.5) × 4021

## Fahrenheit

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
Delisle [°De] = (212 − [°F]) × 56 [°F] = 212 − [°De] × 65
Newton [°N] = ([°F] − 32) × 1160 [°F] = [°N] × 6011 + 32
Réaumur [°Ré] = ([°F] − 32) × 49 [°F] = [°Ré] × 94 + 32
Rømer [°Rø] = ([°F] − 32) × 724 + 7.5 [°F] = ([°Rø] − 7.5) × 247 + 32

## Rankine

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
Delisle [°De] = (671.67 − [°R]) × 56 [°R] = 671.67 − [°De] × 65
Newton [°N] = ([°R] − 491.67) × 1160 [°R] = [°N] × 6011 + 491.67
Réaumur [°Ré] = ([°R] − 491.67) × 49 [°R] = [°Ré] × 94 + 491.67
Rømer [°Rø] = ([°R] − 491.67) × 724 + 7.5 [°R] = ([°Rø] − 7.5) × 247 + 491.67

## Newton

from Newton to Newton
Celsius [°C] = [°N] × 10033 [°N] = [°C] × 33100
Fahrenheit [°F] = [°N] × 6011 + 32 [°N] = ([°F] − 32) × 1160
Kelvin [K] = [°N] × 10033 + 273.15 [°N] = ([K] − 273.15) × 33100
Rankine [°R] = [°N] × 6011 + 491.67 [°N] = ([°R] − 491.67) × 1160
Delisle [°De] = (33 − [°N]) × 5011 [°N] = 33 − [°De] × 1150
Réaumur [°Ré] = [°N] × 8033 [°N] = [°Ré] × 3380
Rømer [°Rø] = [°N] × 3522 + 7.5 [°N] = ([°Rø] − 7.5) × 2235

## Réaumur

from Réaumur to Réaumur
Celsius [°C] = [°Ré] × 54 [°Ré] = [°C] × 45
Fahrenheit [°F] = [°Ré] × 94 + 32 [°Ré] = ([°F] − 32) × 49
Kelvin [K] = [°Ré] × 54 + 273.15 [°Ré] = ([K] − 273.15) × 45
Rankine [°R] = [°Ré] × 94 + 491.67 [°Ré] = ([°R] − 491.67) × 49
Delisle [°De] = (80 − [°Ré]) × 158 [°Ré] = 80 − [°De] × 815
Newton [°N] = [°Ré] × 3380 [°Ré] = [°N] × 8033
Rømer [°Rø] = [°Ré] × 2132 + 7.5 [°Ré] = ([°Rø] − 7.5) × 3221

## Rømer

from Rømer to Rømer
Celsius [°C] = ([°Rø] − 7.5) × 4021 [°Rø] = [°C] × 2140 + 7.5
Fahrenheit [°F] = ([°Rø] − 7.5) × 247 + 32 [°Rø] = ([°F] − 32) × 724 + 7.5
Kelvin [K] = ([°Rø] − 7.5) × 4021 + 273.15 [°Rø] = ([K] − 273.15) × 2140 + 7.5
Rankine [°R] = ([°Rø] − 7.5) × 247 + 491.67 [°Rø] = ([°R] − 491.67) × 724 + 7.5
Delisle [°De] = (60 − [°Rø]) × 207 [°Rø] = 60 − [°De] × 720
Newton [°N] = ([°Rø] − 7.5) × 2235 [°Rø] = [°N] × 3522 + 7.5
Réaumur [°Ré] = ([°Rø] − 7.5) × 3221 [°Rø] = [°Ré] × 2132 + 7.5

## Comparison

Celsius Fahrenheit Kelvin Rankine Delisle Newton Réaumur Rømer
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
−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
−273.15 −459.67 0.00 0.00 559.73 −90.14 −218.52 −135.90
Celsius Fahrenheit Kelvin Rankine Delisle Newton Réaumur Rømer

## Comparison of temperature scales

Comparison of temperature scales
Comment Kelvin Celsius Fahrenheit Rankine scale 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 Earth[1] 184 −89.2[1] −128.6[1] 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 Earth[2] 331 58[2] 136.4[2] 596 63 19 46 38
Water boils (at standard pressure) 373.1339[3] 99.9839[3] 211.97102[4] 671.64102[4] 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.[5]

Some numbers in this table have been rounded.

### Graphical representation

 Rankine (°Ra) Kelvin (K) Fahrenheit (°F) Celsius (°C)Réaumur (°Ré)Rømer (°Rø)Newton (°N) Delisle (°D) Absolute zero Lowest recorded surface temperature on Earth[1] 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 Earth[2] Boiling point of water (at standard pressure)

## Conversion table between different temperature units

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