Temperature Unit Converter

Instant two-way conversion between Kelvin, Celsius, Fahrenheit, and Rankine.

Temperature Converter

Type in any field, and the others update instantly.

°C = K − 273.15
°F = (K − 273.15) × 9/5 + 32
°R = K × 9/5

Why Kelvin Is the Gas-Law Standard

Every fundamental gas law, Charles', Gay-Lussac's, Combined, and Ideal, requires temperatures in Kelvin because they describe quantities proportional to absolute temperature. Celsius and Fahrenheit place their zero points at conventional physical references (water's freezing point, brine), not at the true thermal zero. Plugging Celsius into V₁/T₁ = V₂/T₂ would, for example, divide by zero at the freezing point of water, which is clearly nonsense.

Absolute Zero and the Kelvin Scale

The Kelvin scale was constructed so that 0 K corresponds to absolute zero, the temperature at which the entropy of a perfect crystalline solid reaches its theoretical minimum and ideal gas pressure (and volume, at constant P) extrapolates to zero. No object has ever been cooled to exactly 0 K; the closest laboratory experiments reach within a fraction of a billionth of a degree, close enough to confirm the prediction but never all the way to it. Each Kelvin is exactly the same size as a Celsius degree, so conversion is simple addition: K = °C + 273.15.

Conversion Formulas

  • Kelvin to Celsius: °C = K − 273.15
  • Kelvin to Fahrenheit: °F = (K − 273.15) × 9/5 + 32
  • Kelvin to Rankine: °R = K × 9/5
  • Celsius to Kelvin: K = °C + 273.15
  • Fahrenheit to Kelvin: K = (°F − 32) × 5/9 + 273.15

How to Convert Between Units

Pick the unit you already have and apply the matching formula above to reach Kelvin first, then convert onward if you need a third unit. For example, to turn 98.6 °F into Celsius: convert to Kelvin with K = (98.6 − 32) × 5/9 + 273.15 = 310.15 K, then subtract 273.15 to get 37 °C, human body temperature. Doing the conversion in two short steps, through Kelvin, avoids the more error-prone direct Fahrenheit-to-Celsius formula and keeps every gas-law calculation on this site consistent with a single reference scale.

Reference Temperatures

ReferenceK°C°F°R
Absolute zero0−273.15−459.670
Water freezing point273.15032491.67
Room temperature293.152068527.67
Human body temperature310.153798.6558.27
Water boiling point373.15100212671.67

Frequently Asked Questions

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