Celsius vs. Fahrenheit vs. Kelvin vs. Rankine: Complete Temperature Scales Guide
How thermodynamic absolute temperature scales (Kelvin and Rankine) relate to everyday relative scales (Celsius and Fahrenheit), exact offset formulas, and key physics benchmarks.
Thermodynamics & Weather 5 min read October 2026
1. Relative vs. Absolute Temperature Scales
Unlike length or mass—where zero means the complete absence of the quantity and conversions only require multiplying by a scale factor—everyday temperature scales (Celsius and Fahrenheit) use arbitrary zero points based on phase changes of water or brine. Consequently, converting between temperature scales requires both a scale multiplier (9/5 or 5/9) and an additive offset (+32 or +273.15).
2. The Four Major Temperature Scales Compared
• Celsius (°C): Part of the metric system; water freezes at 0 °C and boils at 100 °C at 1 standard atmosphere (101.325 kPa).
• Fahrenheit (°F): Used in the United States for weather and culinary temperatures; water freezes at 32 °F and boils at 212 °F (a 180-degree span, meaning 1 °C interval = 1.8 °F interval).
• Kelvin (K): The base SI thermodynamic unit defined by fixing the Boltzmann constant k. Starts at Absolute Zero (0 K = -273.15 °C) and uses the exact same degree step size as Celsius.
• Rankine (°R): The Imperial/US thermodynamic absolute scale starting at Absolute Zero (0 °R = -459.67 °F) while using Fahrenheit-sized degree increments (°R = °F + 459.67).
3. Exact Conversion Equations & The -40° Crossover
Because the Fahrenheit scale has 1.8 degrees for every 1 Celsius degree and starts 32 degrees higher at freezing, the two lines intersect at exactly -40°: (-40 × 1.8) + 32 = -72 + 32 = -40. Thus, -40 °C is identically equal to -40 °F.
References
- [1]NIST HB 133 StandardNIST (NIST HB 133 / SP 811)·Checking the Net Contents of Packaged Goods, Handbook 133 - 2019 Edition & NIST SP 811
- [2]BIPM SI BrochureBIPM (BIPM SI-9)·The International System of Units (SI Brochure, 9th Edition)
- [3]NIST SP 811 Appendix B.9NIST SP 811 (NIST SP 811 App. B.9)·NIST Guide to the SI, Appendix B.9: Factors for Units Listed by Kind of Quantity or Field of Science