Rankine to Celsius Converter
Convert °R to °C when reading US engineering data, propellant specs or older thermodynamics tables in metric.
°C = (°R − 491.67) × 5/9
491.67 or 459.67? The Most Common Mistake
Two offsets appear in Rankine conversions, and mixing them up is easy:
- 459.67 is the gap between Rankine and Fahrenheit. Subtracting it from a Rankine value gives Fahrenheit, not Celsius.
- 491.67 is the Rankine value of water's freezing point (0°C). Subtract it, then scale by 5/9, to get Celsius.
If your Celsius answer for room-temperature data comes out around 70, you've probably subtracted 459.67 and stopped there. That's the Fahrenheit value.
Rankine to Celsius Formulas
Direct
Through kelvin
Resize to kelvin first (both are absolute scales), then apply the Celsius offset. This is handy if you also need the kelvin value.
Cryogenic Propellants: °R to °C
US rocket-engine and propellant documentation often lists temperatures in Rankine. These are normal boiling points at 1 atm.
| Fluid | °R | °C | K |
|---|---|---|---|
| Liquid helium (pressurant) | 7.6 | -268.93 | 4.22 |
| Liquid hydrogen (LH₂) | 36.5 | -252.87 | 20.28 |
| Liquid nitrogen | 139.25 | -195.79 | 77.36 |
| Liquid oxygen (LOX) | 162.34 | -182.96 | 90.19 |
| Liquid methane (LCH₄) | 201.01 | -161.48 | 111.67 |
Worked Example: Liquid Oxygen
A propellant spec gives the boiling point of liquid oxygen as 162.34°R. In Celsius:
Step 1: Subtract the freezing point of water in °R
Step 2: Scale to Celsius-sized degrees
−182.96°C, which matches the 90.19 K boiling point quoted in SI references.
Rankine to Celsius Table
| °R | °C |
|---|---|
| 0°R | -273.15°C |
| 100°R | -217.59°C |
| 200°R | -162.04°C |
| 300°R | -106.48°C |
| 400°R | -50.93°C |
| 459.67°R | -17.78°C |
| 491.67°R | 0°C |
| 527.67°R | 20°C |
| 600°R | 60.18°C |
| 671.67°R | 100°C |
| 1,000°R | 282.41°C |
| 1,500°R | 560.18°C |
| 2,000°R | 837.96°C |
| 3,000°R | 1,393.52°C |
Frequently asked questions
Why is 491.67°R equal to 0°C?
Water freezes at 32°F, and Rankine is Fahrenheit shifted up by 459.67, so freezing is 32 + 459.67 = 491.67°R.
How do I convert a temperature difference from °R to °C?
Multiply by 5/9 and skip the offset. A rise of 90°R is a rise of 50°C.
Do Rankine and Celsius ever show the same number?
No. Celsius and Fahrenheit meet at −40, but Rankine and Celsius would only match at about −614.6, and Rankine cannot go below 0.
Sources
- NIST Special Publication 811, Guide for the Use of the International System of Units (SI): Rankine and Celsius conversion factors.
- NIST Chemistry WebBook: normal boiling points of helium, hydrogen, nitrogen, oxygen and methane.
Related Tools
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