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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

Result will appear here...

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

°C = (°R − 491.67) × 5/9

Through kelvin

°C = °R × 5/9 − 273.15

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.

Boiling points of cryogenic propellants in Rankine, Celsius and kelvin
Fluid°R°CK
Liquid helium (pressurant)7.6-268.934.22
Liquid hydrogen (LH₂)36.5-252.8720.28
Liquid nitrogen139.25-195.7977.36
Liquid oxygen (LOX)162.34-182.9690.19
Liquid methane (LCH₄)201.01-161.48111.67

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

162.34 − 491.67 = −329.33

Step 2: Scale to Celsius-sized degrees

−329.33 × 5/9 = −182.96°C

−182.96°C, which matches the 90.19 K boiling point quoted in SI references.

Rankine to Celsius Table

Rankine temperatures converted to Celsius
°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°R0°C
527.67°R20°C
600°R60.18°C
671.67°R100°C
1,000°R282.41°C
1,500°R560.18°C
2,000°R837.96°C
3,000°R1,393.52°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.

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