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Temperature conversion formulas

Table of contents

Summary

Comparison of temperature scales
Kelvin Celsius Fahrenheit Rankine Delisle Newton Réaumur Rømer
Absolute zero 0 K −273.15 °C −459.67 °F 0 °Ra 559.73 °De −90.14 °N −218.52 °Ré −135.9 °Rø
Water freezing point 273.15 K 0 °C 32 °F 491.67 °Ra 150 °De 0 °N 0 °Ré 7.5 °Rø
Human body temperature 310.15 K 37 °C 98.6 °F 558.27 °Ra 94.5 °De 12.21 °N 29.6 °Ré 26.93 °Rø
Water boiling point 373.15 K 100 °C 212 °F 671.67 °Ra 0 °De 33 °N 80 °Ré 60 °Rø

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

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

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







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