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TEMPERATURE CONVERSION FORMULAS

Contents

Comparison of temperature scales

Comparison of temperature scales
Comment Kelvin Celsius Fahrenheit Rankine Delisle Newton Réaumur Rømer
Absolute zero 0 −273.15 −459.67 0 559.725 −90.14 −218.52 −135.90
Lowest recorded surface temperature on Earth
(Vostok, Antarctica - July 21, 1983)		 184 −89 −128.2 331.47 283.5 −29.37 −71.2 −39.225
Fahrenheit's ice/salt mixture 255.37 −17.78 0 459.67 176.67 −5.87 −14.22 −1.83
Water melts (at standard pressure) 273.15 0 32 491.67 150 0 0 7.5
Average surface temperature on Earth 288 15 59 518.67 127.5 4.95 12 15.375
Average human body temperature ¹ 309.95 36.8 98.24 557.91 94.8 12.144 29.44 26.82
Highest recorded surface temperature on Earth
(Al 'Aziziyah, Libya - September 13, 1922)		 331 58 136.4 596.07 63 19.14 46.4 37.95
Water boils (at standard pressure) 373.15 100 212 671.67 0 33 80 60
Titanium melts 1941 1668 3034 3494 −2352 550 1334 883
The surface of the Sun 5800 5526 9980 10440 −8140 1823 4421 2909

¹ 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. Here's a list of various measurements.
Some numbers in this table have been rounded off.

Kelvin

Kelvin
Celsius [°C] = [K] − 273.15 [K] = [°C] + 273.15
Fahrenheit [°F] = [K] · 9/5 − 459.67 [K] = ([°F] + 459.67) · 5/9
Rankine [°Ra] = [K] · 9/5 [K] = [°Ra] · 5/9
Réaumur [°Ré] = ([K] − 273.15) · 4/5 [K] = [°Ré] · 5/4 + 273.15
Newton [°N] = ([K] − 273.15) · 33/100 [K] = [°N] · 100/33 + 273.15
Rømer [°Rø] = ([K] − 273.15) · 21/40 + 7.5 [K] = ([°Rø] − 7.5) · 40/21 + 273.15
Delisle [°De] = (373.15 − [K]) · 3/2 [K] = 373.15 − [°De] · 2/3

Celsius

Degree Celsius
Kelvin [K] = [°C] + 273.15 [°C] = [K] − 273.15
Fahrenheit [°F] = [°C] · 9/5 + 32 [°C] = ([°F] − 32) · 5/9
Rankine [°Ra] = [°C] · 9/5 + 491.67 [°C] = ([°Ra] − 491.67) · 5/9
Réaumur [°Ré] = [°C] · 4/5 [°C] = [°Ré] · 5/4
Newton [°N] = [°C] · 33/100 [°C] = [°N] · 100/33
Rømer [°Rø] = [°C] · 21/40 + 7.5 [°C] = ([°Rø] − 7.5) · 40/21
Delisle [°De] = (100 − [°C]) · 3/2 [°C] = 100 − [°De] · 2/3

Fahrenheit

Degree Fahrenheit
Kelvin [K] = ([°F] + 459.67) · 5/9 [°F] = [K] · 9/5 − 459.67
Celsius [°C] = ([°F] − 32) · 5/9 [°F] = [°C] · 9/5 + 32
Rankine [°Ra] = [°F] + 459.67 [°F] = [°Ra] − 459.67
Réaumur [°Ré] = ([°F] − 32) · 4/9 [°F] = [°Ré] · 9/4 + 32
Newton [°N] = ([°F] − 32) · 11/60 [°F] = [°N] · 60/11 + 32
Rømer [°Rø] = ([°F] − 32) · 7/24 + 7.5 [°F] = ([°Rø] − 7.5) · 24/7 + 32
Delisle [°De] = (212 − [°F]) · 5/6 [°F] = 212 − [°De] · 6/5

Rankine

Degree Rankine
Kelvin [K] = [°R] · 5/9 [°R] = [K] · 9/5
Celsius [°C] = [°R] · 5/9 − 273.15 [°R] = ([°C] + 273.15) · 9/5
Fahrenheit [°F] = [°R] − 459.67 [°R] = [°F] + 459.67
Réaumur [°Ré] = ([°R] · 5/9 - 273.15) · 4/5 [°R] = ([°Ré] · 5/4 + 273.15) · 9/5
Newton [°N] = ([°R] − 491.67) · 11/60 [°R] = [°N] · 60/11 + 491.67
Rømer [°Rø] = ([°R] − 491.67) · 7/24 + 7.5 [°R] = ([°Rø] − 7.5) · 24/7 + 491.67
Delisle [°De] = (671.67 − [°R]) · 5/6 [°R] = 671.67 − [°De] · 6/5

Delisle

Degree Delisle
Kelvin [K] = 373.15 − [°De] · 2/3 [°De] = (373.15 − [K]) · 3/2
Celsius [°C] = 100 − [°De] · 2/3 [°De] = (100 − [°C]) · 3/2
Fahrenheit [°F] = 212 − [°De] · 6/5 [°De] = (212 − [°F]) · 5/6
Rankine [°Ra] = 671.67 − [°De] · 6/5 [°De] = (671.67 − [°Ra]) · 5/6
Réaumur [°Ré] = 80 − [°De] · 8/15 [°De] = (80 − [°Ré]) · 15/8
Newton [°N] = 33 − [°De] · 11/50 [°De] = (33 − [°N]) · 50/11
Rømer [°Rø] = 60 − [°De] · 7/20 [°De] = (60 − [°Rø]) · 20/7

Ranking to Celsius do not match equations from Celsius table.

Newton

Degree Newton
Kelvin [K] = [°N] · 100/33 + 273.15 [°N] = ([K] − 273.15) · 33/100
Celsius [°C] = [°N] · 100/33 [°N] = [°C] · 33/100
Fahrenheit [°F] = [°N] · 60/11 + 32 [°N] = ([°F] − 32) · 11/60
Rankine [°Ra] = [°N] · 60/11 + 491.67 [°N] = ([°Ra] − 491.67) · 11/60
Réaumur [°Ré] = [°N] · 80/33 [°N] = [°Ré] · 33/80
Rømer [°Rø] = [°N] · 35/22 + 7.5 [°N] = ([°Rø] − 7.5) · 22/35
Delisle [°De] = (33 − [°N]) · 50/11 [°N] = 33 − [°De] · 11/50

Réaumur

Degree Réaumur
Kelvin [K] = [°Ré] · 5/4 + 273.15 [°Ré] = ([K] − 273.15) · 4/5
Celsius [°C] = [°Ré] · 5/4 [°Ré] = [°C] · 4/5
Fahrenheit [°F] = [°Ré] · 9/4 + 32 [°Ré] = ([°F] − 32) · 4/9
Rankine [°Ra] = [°Ré] · 9/4 + 491.67 [°Ré] = ([°Ra] − 491.67) · 4/9
Newton [°N] = [°Ré] · 33/80 [°Ré] = [°N] · 80/33
Rømer [°Rø] = [°Ré] · 21/32 + 7.5 [°Ré] = ([°Rø] − 7.5) · 32/21
Delisle [°De] = (80 − [°Ré]) · 15/8 [°Ré] = 80 − [°De] · 8/15

Rømer

Degree Rømer
Kelvin [K] = ([°Rø] − 7.5) · 40/21 + 273.15 [°Rø] = ([K] − 273.15) · 21/40 + 7.5
Celsius [°C] = ([°Rø] − 7.5) · 40/21 [°Rø] = [°C] · 21/40 + 7.5
Fahrenheit [°F] = ([°Rø] − 7.5) · 24/7 + 32 [°Rø] = ([°F] − 32) · 7/24 + 7.5
Rankine [°Ra] = ([°Rø] − 7.5) · 24/7 + 491.67 [°Rø] = ([°Ra] − 491.67) · 7/24 + 7.5
Réaumur [°Ré] = ([°Rø] − 7.5) · 32/21 [°Rø] = [°Ré] · 21/32 + 7.5
Newton [°N] = ([°Rø] − 7.5) · 22/35 [°Rø] = [°N] · 35/22 + 7.5
Delisle [°De] = (60 − [°Rø]) · 20/7 [°Rø] = 60 − [°De] · 7/20

See also

External links

Temperature scales
Celsius Fahrenheit Kelvin
Delisle Leyden Newton Rankine Réaumur Rømer
Conversion formulas