Formulas (exact relationships)
- Between °C, K, °F, °R:
K = °C + 273.15°F = °C × 9/5 + 32°R = K × 9/5°C = (°F − 32) × 5/9K = °R × 5/9
- Legacy scales (via °C):
°Re = °C × 4/5°De = (100 − °C) × 3/2°N = °C × 33/100°Rø = °C × 21/40 + 7.5
The converter internally normalizes any input to Kelvin and then outputs all supported scales to avoid cumulative rounding error.
Examples
20 °C → K = 293.15, °F = 68, °R = 527.67, °Re = 16.
451 °F → °C = (451−32)×5/9 ≈ 232.78 → K ≈ 505.93.
FAQ
Why do I see decimals like 273.15?
Because Celsius and Kelvin have an exact offset of 273.15 between their zeros. We keep precision and let you round the display.
When should I use Rankine?
Rankine is common in some thermodynamics contexts (imperial system). It’s Kelvin scaled by 9/5 with the same absolute zero.
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
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Formula (extracted text)
Between °C, K, °F, °R: K = °C + 273.15 °F = °C × 9/5 + 32 °R = K × 9/5 °C = (°F − 32) × 5/9 K = °R × 5/9 Legacy scales (via °C): °Re = °C × 4/5 °De = (100 − °C) × 3/2 °N = °C × 33/100 °Rø = °C × 21/40 + 7.5 The converter internally normalizes any input to Kelvin and then outputs all supported scales to avoid cumulative rounding error.
Variables and units
- No variables provided in audit spec.
Sources (authoritative):
- NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures - NIST — SI units — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/owm/metric-si/si-units
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.