Degree Reaumur to Degree Rankine (°Ré to °R) Conversion Calculator

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-5:2019 Certified

1 Degree Réaumur = 2.25 Degree Rankine

1 °Ré = 2.25 °R • 1 °R = 0.444444 °Ré

Decimals:

Certified Authority Value

2.25000000

°R

From / Input

°Ré

Swap to Degree Rankine to Degree Réaumur

To / Result

°R

Quick Values:

Conversion Formula

To convert Degree Réaumur to Degree Rankine, convert to Celsius and then to Degree Rankine

°Ré → °C → °R

Calculation: 1 °Ré = 2.25 °R

Common Degree Réaumur to Degree Rankine Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Degree Réaumur (°Ré) and Degree Rankine (°R).

Tap any row to calculate

Degree Réaumur to Degree Rankine: Primary Direct Table (15 Steps)

Rule: 1 Degree Réaumur is equal to 2.25 °R (Degree Rankine)

Degree Réaumur to Degree Rankine Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
-40 °Ré -90 °R	-9 × 10¹
-20 °Ré -45 °R	-4.5 × 10¹
-10 °Ré -22.5 °R	-2.25 × 10¹
0 °Ré 0 °R	0
5 °Ré 11.25 °R	1.125 × 10¹
10 °Ré 22.5 °R	2.25 × 10¹
15 °Ré 33.75 °R	3.375 × 10¹
20 °Ré 45 °R	4.5 × 10¹
25 °Ré 56.25 °R	5.625 × 10¹
30 °Ré 67.5 °R	6.75 × 10¹
37 °Ré 83.25 °R	8.325 × 10¹
50 °Ré 112.5 °R	1.125 × 10²
100 °Ré 225 °R	2.25 × 10²
200 °Ré 450 °R	4.5 × 10²
500 °Ré 1125 °R	1.125 × 10³

Degree Rankine to Degree Réaumur: Reciprocal Summary

Rule: 1 Degree Rankine is equal to 0.444444 °Ré (Degree Réaumur)

Degree Rankine to Degree Réaumur Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
0 °R 0 °Ré	0
20 °R 8.888889 °Ré	8.889 × 10⁰
37 °R 16.444444 °Ré	1.644 × 10¹
100 °R 44.444444 °Ré	4.444 × 10¹
500 °R 222.222222 °Ré	2.222 × 10²

View Complete 15-Row Degree Rankine to Degree Réaumur Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Degree Réaumur (°Ré) and Degree Rankine (°R):

Degree Réaumur References:

Water freezing to boiling interval on historical Reaumur scale 80 °r

Degree Rankine References:

Water freezing to boiling interval on absolute Rankine scale 180 °R

Tap any benchmark above to automatically calculate its exact equivalent in Degree Rankine.

ISQ Dimension: [Θ] Coherent SI Unit: kelvin (K) Thermodynamics & Heat Transfer

How to Convert Degree Réaumur to Degree Rankine

Converting Degree Réaumur (°Ré) to Degree Rankine (°R) is a core calculation in Temperature Interval, which measures the differential magnitude of temperature change or thermal gradient regardless of origin baseline. Converting between these temperature scales requires calibrating both the incremental degree size and the thermodynamic reference baseline.

Direct Factor1 °Ré = 2.25 °R

Inverse Ratio1 °R = 0.444444 °Ré

Conversion ScaleNon-Linear Affine Offset & Interval Scale

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (kelvin (K)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 °Ré = 1.25 kelvin (K)

2. Target SI Bridge (k_target):1 °R = 0.555556 kelvin (K)

Step-by-step substitution for Degree Réaumur → Degree Rankine:V(°R) = V(°Ré) × ( 1.25 / 0.555556 ) = V(°Ré) × 2.25

Mathematical FormulaValue in Degree Rankine = Value in Degree Réaumur × 2.25Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 8 °Ré, applying the conversion factor yields exactly 18 °R. At larger operational scale, 10000 Degree Réaumur corresponds to 22500 °R.

Inverse check: 1 °R = 0.444444 °Ré.

Understanding Degree Réaumur and Degree Rankine

Domain Metrology & Engineering Applications

Governing Law & Equation

Thermodynamic Temperature Gradient (ΔT = T₂ - T₁)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using differential thermocouple thermopiles, dual-channel RTD bridge monitors, and infrared thermal imaging cameras.

Primary Industry Sectors

Applied across heat exchanger thermal efficiency rating, building insulation certification, electronic cooling design, and climate testing under international metrology standard ISO 80000-5:2019.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019 and the BIPM SI Brochure (9th Edition). Governed by Thermodynamic Temperature Gradient (ΔT = T₂ - T₁) under ISO 80000 dimensional vector [Θ].

Multi-Variable Engineering Bridge Thermal Expansion & Dilatation

Temperature Interval to Elongation Bridge (Meters • Millimeters • Centimeters • Inches • Feet)

Calculate linear expansion ΔL = α × L₀ × ΔT across architectural alloys and piping materials on a 10-meter structural member, bridging temperature interval [Θ] with physical elongation [L].

Input Temperature Differential (ΔT): °Ré

Select Material Expansion Coefficient: 1.2 × 10⁻⁵ 1/K

Governing Law: ΔL = α × L₀ × ΔT

Vector: [K] × [1/K] × [10m] → [m]

Live Calculated Bridge Equivalent:

1 °Ré at Structural Carbon Steel (ASTM A36) = 0.00015 m

Equals 1.5 × 10⁻⁷ km • 0.015 cm • 0.15 mm

SI Length

0.00015

Meters

Geographic Scale

1.5 × 10⁻⁷

Kilometers

Engineering Scale

0.015

Centimeters

Precision Machining

0.15

Millimeters

US Architectural

0.0004921

Feet

US Tooling

0.005906

Inches

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (K):
ΔT = 1 °Ré × 1.25 = 1.25 K
2. Apply Engineering Parameter (α):
Selected condition: Structural Carbon Steel (ASTM A36) at α = 1.2 × 10⁻⁵ 1/K
3. Execute Governing Physical Law in SI Units:
ΔL = α × L₀ × ΔT = (10 m) × (1.2 × 10⁻⁵ 1/K) × (1.25 K) = 0.00015 m
4. Convert to Standard Engineering Units:
• m: 0.00015 × 1 = 0.00015 m (Meters) • km: 0.00015 × 0.001 = 1.5 × 10⁻⁷ km (Kilometers) • cm: 0.00015 × 100 = 0.015 cm (Centimeters) • mm: 0.00015 × 1000 = 0.15 mm (Millimeters) • ft: 0.00015 × 3.2808 = 0.0004921 ft (Feet) • in: 0.00015 × 39.3701 = 0.005906 in (Inches)

Explore Full Thermal Expansion Converter →

Engineering Substance / Operating Standard	Parameter Value (1/K)	Reference State / Condition	Typical Industrial & Engineering Application
Structural Carbon Steel (ASTM A36)	`1.2 × 10⁻⁵`	α = 12.0 × 10⁻⁶ / K	Standard structural building steel
Structural Aluminum (6061-T6)	`2.31 × 10⁻⁵`	α = 23.1 × 10⁻⁶ / K	Extruded curtain walls & framing
Pure Copper (C11000)	`1.65 × 10⁻⁵`	α = 16.5 × 10⁻⁶ / K	Plumbing lines & busbars
Reinforced Concrete (Normal Weight)	`1.2 × 10⁻⁵`	α = 12.0 × 10⁻⁶ / K	Civil engineering concrete
Invar 36 (Ultra-Low Expansion Alloy)	`1.2 × 10⁻⁶`	α = 1.2 × 10⁻⁶ / K	Precision optical measurement benches

Frequently Asked Questions

There are exactly 2.25 degree rankine (°R) in 1 degree réaumur (°Ré). To calculate larger amounts manually, simply multiply your total number of degree réaumurs by the conversion multiplier of 2.25.

The mathematical formula to convert degree réaumurs to degree rankine is: [value] * 2.25 = degree rankine. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from degree rankine back to degree réaumurs, you must divide your starting value by 2.25. Our bidirectional tool automatically computes this inverse equation the moment you type into the degree rankine input field.

A temperature of 1 Degree Réaumur corresponds to 2.25 Degree Rankine. In terms of incremental temperature steps, a 1-degree change in Degree Réaumur equals a 2.25-degree change in Degree Rankine.

Under standard international measurement guidelines, 1 Degree Réaumur converts to 2.25 degree rankine. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.

There are exactly 2.25 Degree Rankine in 1 Degree Reaumur (1 °r = 2.25 °R). Both units scale linearly in exact proportion to Rankine/Fahrenheit interval steps.

The mathematical formula for converting a temperature interval from Degree Reaumur (V(°r)) to Degree Rankine (V(°R)) is: V(°R) = V(°r) × 2.25.

To convert a temperature interval from Degree Rankine (V(°R)) to Degree Reaumur (V(°r)), multiply by 0.444444: V(°r) = V(°R) × 0.444444.

Because 1 °R represents the same temperature interval magnitude as 1 °F, converting a Réaumur interval to Rankine uses the exact same 2.25 scaling factor as converting to Fahrenheit.