Temperature · Unit Converter

Convert Réaumur to Kelvin

Convert degrees réaumur to kelvins instantly. K = (°Ré × 5/4) + 273.15 — use the live calculator, the exact formula, a reference-temperature table and worked examples. Also check the Kelvin to Réaumur converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Girish V Kulkarni Ph.D.
Temperature category 2 min read Published Last reviewed Updated

Units explained

Historical Scales

Réaumur

What is a degree réaumur?

The degree Réaumur (°Ré) sets the freezing point of water at 0 °Ré and the boiling point at 80 °Ré, so one degree Réaumur equals exactly 1.25 kelvins (5/4 K).

Origin of the degree réaumur

Devised by French scientist René Antoine Ferchault de Réaumur using alcohol thermometers whose working liquid expanded 80 parts per thousand between the freezing and boiling points of water — the origin of the 80-degree span.

Where it is used

Once dominant across 18th- and 19th-century Europe, especially France, Germany, and Russia. It survives today mainly in traditional cheese-making — Parmigiano-Reggiano and Swiss alpine dairies still specify milk temperatures in °Ré.

When and where it was developed

Introduced by Réaumur in Paris in 1730; it faded from general use after France adopted the Celsius scale with the metric system in the 1790s.

Modern Standard Scales

Kelvin

What is a kelvin?

The kelvin (K) is the SI base unit of thermodynamic temperature, defined by fixing the Boltzmann constant k at exactly 1.380649×10⁻²³ J/K. Zero kelvin is absolute zero, the lowest temperature physically possible, and kelvin values are written without a degree sign.

Origin of the kelvin

Named for William Thomson, 1st Baron Kelvin, who in 1848 calculated the value of absolute zero (about −273 °C) and proposed an absolute thermodynamic scale. His title comes from the River Kelvin, which flows past the University of Glasgow in Scotland.

Where it is used

The universal temperature unit of science and engineering — physics, chemistry, astronomy, and materials science — and the standard for color temperature in photography, displays, and lighting (a 5600 K daylight bulb).

When and where it was developed

Proposed by William Thomson (Lord Kelvin) in 1848; adopted as an SI base unit by the 10th CGPM in 1954 and redefined through the fixed Boltzmann constant by the 26th CGPM, effective May 20, 2019.

Réaumur to Kelvin conversion formula

The exact relationship between degrees réaumur and kelvins:

K = (°Ré × 5/4) + 273.15
°Ré = (K × 4/5) − 218.52

To convert degrees réaumur to kelvins, multiply the value by 5/4, then add 273.15. To reverse, multiply the value by 4/5, then subtract 218.52.

Reference anchors: water freezes at 0 °Ré = 273.15 K and boils at 80 °Ré = 373.15 K (at standard atmospheric pressure).

How to use this converter

Type a value into the calculator. The result in kelvins updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Kelvin to Réaumur converter for the reverse direction.

Step-by-step: convert degrees réaumur to kelvins

  1. Write down the temperature in degrees réaumur (°Ré).
  2. Multiply the value by 5/4, then add 273.15.
  3. The result is the same temperature expressed in kelvins (K).
  4. To reverse, multiply the value by 4/5, then subtract 218.52 — or open the Kelvin to Réaumur converter.

Worked examples

Example 1 — Convert 29.6 °Ré to K (human body temperature):
(29.6 × 5/4) + 273.15 = 310.15 K

Example 2 — Convert 80 °Ré to K (the boiling point of water):
(80 × 5/4) + 273.15 = 373.15 K

Réaumur to Kelvin conversion table

Physically meaningful reference temperatures, from absolute zero to the surface of the Sun, converted from degrees réaumur to kelvins:

Réaumur [°Ré]Kelvin [K]Reference point
-218.520Absolute zero
-32233.15Where Celsius and Fahrenheit coincide (−40°)
-14.2222222222255.3722222222Zero Fahrenheit (0 °F)
0273.15Water freezes (0 °C / 32 °F)
0.008273.16Triple point of water
8283.15Cool day (10 °C / 50 °F)
16293.15Room temperature (20 °C / 68 °F)
20298.15Standard laboratory temperature (25 °C)
24303.15Hot day (30 °C / 86 °F)
29.6310.15Human body temperature (37 °C / 98.6 °F)
32313.15Heat-wave day (40 °C / 104 °F)
40323.15Hot tap water (50 °C / 122 °F)
80373.15Water boils (100 °C / 212 °F)
144453.15Moderate baking oven (180 °C / 356 °F)
4403.885778Surface of the Sun (≈5,505 °C)

Frequently asked questions

What is 29.6 °Ré in K?
29.6 °Ré equals 310.15 K — normal human body temperature.
How do I convert degrees réaumur to kelvins?
Use the formula K = (°Ré × 5/4) + 273.15: multiply the value by 5/4, then add 273.15.
How do I convert kelvins back to degrees réaumur?
Apply the reverse formula °Ré = (K × 4/5) − 218.52 — multiply the value by 4/5, then subtract 218.52 — or use the Kelvin to Réaumur converter.
At what temperature do the Réaumur and Kelvin scales read the same number?
Both scales show the same number at -1092.6: -1092.6 °Ré = -1092.6 K. Set K = °Ré in the conversion formula and solve to verify it.
Can a temperature be below absolute zero?
No. Absolute zero (0 K = −273.15 °C = −459.67 °F) is the floor of the thermodynamic temperature scale. The calculator flags any input that would fall below it.

Convert Réaumur to other temperature units

Show all Réaumur conversions

Sources & references

Conversion relationship (K = (°Ré × 5/4) + 273.15) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.