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Kelvin to Celsius Converter

Convert kelvin to Celsius — lab readings, physics homework, and colour temperature.

Updated

Celsius

26.85°C

300 K = 26.85 °C

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In short

What is 300 kelvin in Celsius?

300 kelvin is 26.85 degrees Celsius. Subtract 273.15 and you are done — there is no multiplication anywhere in this conversion, because a kelvin and a degree Celsius are exactly the same size. Only the position of zero differs between the two scales.

Write the unit as K, with no degree sign. The 13th General Conference on Weights and Measures dropped the degree from the kelvin in 1967, so 300 K is correct and 300 °K is not.

kelvin to Celsius — quick reference

kelvin (K)Celsius (°C)
0 K-273.15 °C
100 K-173.15 °C
200 K-73.15 °C
273.2 K0.00 °C
293.2 K20.00 °C
300 K26.85 °C
310.2 K37.00 °C
373.2 K100.00 °C
Computed from the exact factor — rounded only for display.

The formula, worked line by line

Every other temperature conversion on this site needs two operations, because the two scales disagree about two separate things: how big one degree is, and where zero sits. Kelvin and Celsius disagree about only the second. The degree is the same size on both, so the scale factor is exactly 1.

That is not a coincidence or a convenient approximation. The Celsius scale is defined in terms of the kelvin — t/°C = T/K − 273.15 — with the degree Celsius equal in magnitude to the kelvin. The two scales are the same ruler with the zero mark in a different place.

°C = K − 273.15
K = °C + 273.15
300 K → 300 − 273.15 = 26.85 °C
For a temperature difference, subtract nothing: Δ°C = ΔK
kelvin against CelsiusA twin scale: kelvin along the top against Celsius along the bottom, with 300 K marked.K°C0-273.15100-173.15200-73.1530026.85400126.85K°C
One ruler, two zero marks: 0 K is −273.15 °C, and 273.15 K is 0 °C.
The worked default, 300 K
Kelvin entered
300
Subtract the offset
300 − 273.15
Celsius
26.85
Celsius
26.85 °C

Two more worth carrying. Body temperature, 310.15 K: subtract 273.15 and you land on exactly 37 °C. Liquid nitrogen, 77.4 K: 77.4 − 273.15 = −195.75 °C. Notice that the second one is the case the Kelvin scale exists for — the Celsius reading is a large negative number that tells you almost nothing, while 77 K tells you immediately that you are three quarters of the way down to absolute zero.

Readings and intervals are different quantities

This is the mistake behind almost every wrong Kelvin conversion, and it is not a slip in the arithmetic. A reading of 1 K is −272.15 °C. An interval of 1 K is an interval of 1 °C. Both statements are correct, and they look like they contradict each other.

They do not, because they describe different quantities. The 273.15 shifts where the scale starts, and an interval does not care where the scale starts — it only cares how far apart the marks are, and on these two scales the marks are identically spaced. So a rise of 20 K is a rise of 20 °C, while a temperature of 20 K is −253.15 °C.

How to use the kelvin to celsius converter

Type a kelvin figure and the Celsius equivalent appears as you type, to two decimal places. Swap turns the page into a Celsius to kelvin converter without retyping, and the converter refuses to treat anything below 0 K as an ordinary temperature reading.

Kelvin reaches most people from four places: a chemistry or physics problem where a gas law demands an absolute temperature, an astronomy article giving the surface of a star, a cryogenics or superconductor specification, and the colour temperature printed on a light bulb. Only three of those four are genuinely temperatures, which is a trap worth knowing about before you convert anything.

The arithmetic itself is the simplest of any temperature pair on this site. There is no scale factor, no 9/5, and no order-of-operations trap. Subtract 273.15. That is the entire conversion, and the reason it is so simple is worth more than the formula itself.

−273.15 °C

0 K

absolute zero, the bottom of the scale

0 °C

273.15 K

water freezes at standard pressure

100 °C

373.15 K

water boils at standard pressure

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A kelvin and a degree Celsius are the same size by definition. The SI Brochure defines the Celsius scale as t/°C = T/K − 273.15 and states that the degree Celsius is equal in magnitude to the kelvin, which is why the conversion is a pure offset with no stretching of the scale at all.

That equality of size has a consequence people miss constantly. A temperature difference of 10 K is a temperature difference of 10 °C — not 283.15 °C. The offset belongs to readings, not to changes, tolerances or rates. Warming something by 5 K and warming it by 5 °C are the same instruction.

Going the other way, into the absolute scale

Gas laws, radiation formulas and thermodynamics all demand kelvin as the input, so the reverse conversion is the one a homework problem usually needs.

Open Celsius to kelvin

The Kelvin scale from absolute zero to the surface of the Sun, with the Celsius reading beside each point. Boiling and freezing figures are at standard atmospheric pressure; raise or lower the pressure and they move.

LandmarkKelvinCelsius
Absolute zero0 K−273.15 °C
Cosmic microwave background2.7 K−270.45 °C
Helium boils4.2 K−268.95 °C
Nitrogen boils — the everyday cryogen77.4 K−195.75 °C
Oxygen boils90.2 K−182.95 °C
Dry ice sublimes194.65 K−78.5 °C
Water freezes273.15 K0 °C
Room temperature by convention293.15 K20 °C
Standard chemistry conditions298.15 K25 °C
Human body temperature310.15 K37 °C
Water boils373.15 K100 °C
Iron melts1811 K1537.85 °C
Surface of the Sun, effective temperature5772 K5498.85 °C
Fixed points follow the SI definition of the Celsius scale, t/°C = T/K − 273.15, which makes the two columns exact conversions of one another rather than rounded pairs. Cryogenic boiling points are quoted at standard atmospheric pressure and rounded to one decimal.

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What absolute zero actually means

Absolute zero is 0 K, which the SI definition of the Celsius scale fixes at exactly −273.15 °C. It is the bottom of the ordinary temperature scale: a system there sits in its lowest possible energy state, and there is no thermal energy left to remove.

The familiar description — that all motion stops — is a simplification, and a widespread one. Thermal motion does go to zero, but quantum zero-point motion does not disappear, which is why helium stays liquid at absolute zero under its own vapour pressure rather than freezing solid.

The cryogenic ladder below 100 K is where the scale earns its keep, because Celsius readings there are all large negative numbers that convey nothing. Nitrogen boils at about 77.4 K and oxygen at about 90.2 K, a gap of thirteen degrees that industry uses to separate the two.

273.15, 273.16, and which one changed

Two numbers sit one hundredth apart and almost everything written about them has them the wrong way round. 273.15 is the Celsius offset. 273.16 is the triple point of water, the single condition where ice, liquid water and water vapour coexist.

Until 2019 the second was the definition: the kelvin was one 273.16th of the thermodynamic temperature of that triple point, so 273.16 K was exact by construction. On 20 May 2019 the 26th General Conference on Weights and Measures redefined the kelvin by fixing the Boltzmann constant instead.

The consequence is a reversal of which figure you can trust. The triple point is now measured rather than defined — best estimate 273.16 K, with a standard uncertainty near a ten-thousandth of a kelvin — while 273.15, the offset you actually use, was deliberately left exact and is unaffected.

Every kelvin value, worked out

84 common kelvin figures each get their own page, with the answer at full precision, the arithmetic, what rounding costs, and the nearest real-world reference point on the scale.

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Questions people ask

What is 300 K in Celsius?

300 K is 26.85 °C. Subtract 273.15 from the kelvin figure and that is the whole conversion — no multiplication is involved, because a kelvin and a degree Celsius are the same size. Working outwards from there, 273.15 K is 0 °C, 293.15 K is 20 °C, 310.15 K is 37 °C, and 373.15 K is 100 °C. The regular spacing is the point: every kelvin you add adds exactly one degree Celsius, so once you know one pair you can walk the ladder in either direction without touching a calculator.

Is kelvin just Celsius plus 273?

Almost, and the missing 0.15 matters more often than you would think. The exact relationship is K = °C + 273.15, fixed by the SI definition of the Celsius scale. Rounding to 273 puts every answer out by 0.15 degrees, which vanishes into noise in a weather figure but is unacceptable in a calibration, a phase-change measurement or anything quoted to two decimals. The other half of the question is more important than the decimal: the offset applies to temperature readings only. For a temperature difference you add nothing at all, because the two scales have identically sized degrees.

Is it 273 or 273.15 kelvin?

It is 273.15, and there is a second number nearby that causes most of the confusion. 273.15 K is 0 °C, the offset between the scales, and it is exact by definition. 273.16 K is the triple point of water, which is a different thing entirely. Until 20 May 2019 the triple point was exact by definition and the kelvin was derived from it. Since the 26th General Conference on Weights and Measures redefined the kelvin using the Boltzmann constant, the triple point has been an experimentally determined quantity with a small uncertainty, while the 273.15 offset was deliberately preserved and remains exact.

Why should I write 300 K rather than 300 °K?

Because the degree sign was dropped from the unit in 1967, when the 13th General Conference on Weights and Measures adopted the name kelvin and the symbol K. The reasoning was that the kelvin is an absolute unit rather than a graduation on an arbitrary scale, so calling it a degree misdescribes it. Two conventions follow. The unit name is lowercase — one kelvin, three hundred kelvins — while the symbol is always a capital K. And a space goes between the number and the symbol, so 273.15 K, in the same way you would write 20 °C.

Does all motion really stop at absolute zero?

Thermal motion does, but not all motion. At 0 K a system sits in its lowest available energy state and there is no thermal energy left to extract, which is what makes it the bottom of the scale. Quantum mechanics still leaves zero-point motion, an irreducible jiggle that has nothing to do with heat. The most visible consequence is helium, which stays liquid at absolute zero under its own vapour pressure instead of freezing — the zero-point motion alone is enough to keep it from settling into a solid. It also means the popular description of atoms standing perfectly still is a simplification rather than a fact.

Sources

Where the constants and formulas on this page come from. Each line names the figure it backs.

  1. The Celsius scale is defined as t/°C = T/K − 273.15, with the degree Celsius equal in magnitude to the kelvin, which makes the conversion a pure offset.

    The International System of Units (SI), 9th editionBIPM, 2019