Rankine to Reaumur Converter
Enter the value that you want to convert Rankine (°R) to Reaumur (°r) or Reaumur to Rankine.Also written as °R to °R conversion.
1 Rankine = -218.0755556 Reaumur
Formula: °Ré = (°R × 5/9 − 273.15) × 4/5
°R to °R — Rankine to Reaumur
10 Rankine = -214.07556 Reaumur
Popular Temperature Converters:
Temperature Scale Comparison Chart
How Rankine Relates to Reaumur
The Rankine Explained
The Rankine scale is the Fahrenheit-based absolute temperature scale, starting at absolute zero (0°R = −459.67°F).
Developed by Scottish engineer William Rankine in 1859, the Rankine scale (°R) is used primarily in American engineering for thermodynamic calculations. It relates to Fahrenheit as Kelvin relates to Celsius — same degree size but offset to absolute zero. The Rankine cycle (steam power plant efficiency) and some US aerospace engineering calculations use this scale. To convert: °R = °F + 459.67.
Understanding the Reaumur
The Réaumur scale sets water's freezing point at 0° and boiling point at 80°, created by French scientist René Antoine Ferchault de Réaumur in 1730.
Once widely used in Europe (particularly France, Germany, and Russia), the Réaumur scale (°Ré) has been almost entirely replaced by Celsius. However, it persists in some traditional industries: Italian and Swiss cheese-making (specifying milk temperatures during production), some French cooking traditions, and historical weather records. The scale is notable for having only 80 divisions between freezing and boiling, making each Réaumur degree 1.25 Celsius degrees.
Temperature Scales in Context
Temperature conversion is one of the few non-linear unit conversions people encounter daily. Celsius dominates scientific work and most countries, Fahrenheit remains standard in the US for weather and cooking, Kelvin is required in thermodynamics and gas law calculations, and Rankine appears in some US engineering applications. Converting between these scales requires formulas rather than simple multiplication.
Rankine to Reaumur metric conversion table
| 0.01 °R | = | -218.51556 °r |
| 0.1 °R | = | -218.47556 °r |
| 1 °R | = | -218.07556 °r |
| 2 °R | = | -217.63111 °r |
| 3 °R | = | -217.18667 °r |
| 4 °R | = | -216.74222 °r |
| 5 °R | = | -216.29778 °r |
| 6 °R | = | -215.85333 °r |
| 7 °R | = | -215.40889 °r |
| 8 °R | = | -214.96444 °r |
| 9 °R | = | -214.52000 °r |
| 10 °R | = | -214.07556 °r |
| 11 °R | = | -213.63111 °r |
| 12 °R | = | -213.18667 °r |
| 13 °R | = | -212.74222 °r |
| 14 °R | = | -212.29778 °r |
| 15 °R | = | -211.85333 °r |
| 16 °R | = | -211.40889 °r |
| 17 °R | = | -210.96444 °r |
| 18 °R | = | -210.52000 °r |
| 19 °R | = | -210.07556 °r |
| 20 °R | = | -209.63111 °r |
| 30 °R | = | -205.18667 °r |
| 40 °R | = | -200.74222 °r |
| 50 °R | = | -196.29778 °r |
| 60 °R | = | -191.85333 °r |
| 70 °R | = | -187.40889 °r |
| 80 °R | = | -182.96444 °r |
| 90 °R | = | -178.52000 °r |
| 100 °R | = | -174.07556 °r |
| 200 °R | = | -129.63111 °r |
| 300 °R | = | -85.18667 °r |
| 400 °R | = | -40.74222 °r |
| 500 °R | = | 3.70222 °r |
| 600 °R | = | 48.14667 °r |
| 700 °R | = | 92.59111 °r |
| 800 °R | = | 137.03556 °r |
| 900 °R | = | 181.48000 °r |
| 1000 °R | = | 225.92444 °r |
How to Convert °R to °R (Rankine to Reaumur)?
We can convert Rankine to Reaumur by using an example.
Example:
Convert 20 Rankine to Reaumur?
We know 1 Rankine = -218.0755556 Reaumur; 1 Reaumur = 493.9200000 Rankine.
20 Rankine = ___°r
20 × -218.0755556 = -209.63111 °r (we know 1 Rankine = -218.0755556 Reaumur)
Answer:
20 Rankine = -209.63111 Reaumur
Converting Rankine to Réaumur
Go through Celsius: first convert R→C, then C→Ré: °Ré = (°R - 491.67) × 4/9:
- Subtract 491.67 from the Rankine value.
- Multiply by 4/9 (≈ 0.4444).
- The result is Réaumur.
Solved Examples
Question 1: Convert 671.67°R to Réaumur.
Solution:
°Ré = (671.67 - 491.67) × 4/9
= 180 × 4/9
Answer: 671.67°R = 80°Ré (boiling water)
Question 2: Convert 531.67°R to Réaumur.
Solution:
°Ré = (531.67 - 491.67) × 4/9
= 40 × 4/9
= 17.78
Answer: 531.67°R ≈ 17.8°Ré
Practice Questions
Try solving these on your own to test your understanding:
- Convert 491.67°R to Réaumur. (Answer: 0°Ré)
- Convert 600°R to Réaumur. (Answer: 48.1°Ré)
Key Takeaways
- °Ré = (°R - 491.67) × 4/9.
- 491.67°R = 0°Ré, 671.67°R = 80°Ré.
Rankine to Reaumur Conversion Formula
°Ré = (°R × 5/9 − 273.15) × 4/5
1 Rankine = -218.0755556 Reaumur
1 Reaumur = 493.9200000 Rankine
Frequently Asked Questions
How many Reaumur are in 1 Rankine?
1 Rankine equals -218.07556 Reaumur. Note: Temperature conversion uses a formula, not simple multiplication.
How do I convert Rankine to Reaumur?
Use the conversion formula shown above. For example, -216.30 Reaumur equals 5 Rankine. Temperature scales have different zero points, so a formula (not simple multiplication) is required.
How do I convert Reaumur to Rankine?
Use the reverse formula. 1 Reaumur equals 493.92000 Rankine. See the formula section above for the exact equation.
What is 10 Rankine in Reaumur?
10 Rankine is equal to -214.07556 Reaumur.
What is 100 Rankine in Reaumur?
100 Rankine is equal to -174.07556 Reaumur.