Scientific Temperature Conversion Calculator | Expert-Verified by NIST & BIPM Standards
The Kelvin scale (symbol: K, without degree symbol) is the SI base unit of thermodynamic temperature and represents one of the seven fundamental SI base units. Named after William Thomson, 1st Baron Kelvin (1824-1907), a British mathematical physicist and engineer, the Kelvin scale is an absolute temperature scale that starts at absolute zero (0 K)—the theoretical point at which all classical thermal motion ceases and a system has only zero-point quantum mechanical energy.
The distinguishing characteristic of the Kelvin scale is that it measures temperature from this fundamental physical limit rather than from an arbitrary reference point. At 0 K (absolute zero, equal to -273.15°C), thermal energy reaches its minimum possible value. According to the third law of thermodynamics, formulated by Walther Nernst, absolute zero cannot be reached by any finite number of thermodynamic processes, though modern cryogenic techniques have achieved temperatures within billionths of a kelvin above it.
Following the 2019 SI redefinition that took effect on May 20, 2019, the kelvin is now defined by fixing the numerical value of the Boltzmann constant (k) to exactly 1.380649×10⁻²³ J/K. This definition fundamentally links temperature to energy at the molecular level: k = 1.380649×10⁻²³ J/K, where the joule is expressed in terms of kilogram, meter, and second (kg·m²·s⁻²). This modern definition makes the Kelvin scale independent of any physical artifact or material-specific property, basing it instead on an invariant constant of nature.
The Kelvin scale is universally used in scientific research where absolute temperature is essential, including:
The Celsius scale (symbol: °C), formerly known as centigrade, is a temperature scale widely used worldwide for everyday temperature measurements, weather reporting, medical applications, and much scientific work. Named after Swedish astronomer Anders Celsius (1701-1744), who proposed it in 1742, the scale was originally defined by two fixed reference points: 0°C as the freezing point of water and 100°C as the boiling point of water, both at standard atmospheric pressure (101.325 kPa).
Anders Celsius originally proposed the scale in reverse—with 0° at water's boiling point and 100° at the freezing point. The scale was later inverted to its current, more intuitive form by Carl Linnaeus and others. The name "centigrade" (meaning "hundred steps") was used historically but was officially replaced by "Celsius" in 1948 by the 9th General Conference on Weights and Measures (CGPM) to honor Anders Celsius and avoid confusion with the angular measurement unit also called "centigrade."
Since the 2019 SI redefinition, the Celsius scale is formally defined in relation to the Kelvin scale. According to the BIPM SI Brochure (9th edition), the magnitude of one degree Celsius is exactly equal to one kelvin, and the relationship between Celsius temperature (t) and thermodynamic temperature in kelvin (T) is: t/°C = T/K − 273.15.
This definition means that:
The Celsius scale remains the preferred temperature scale for most non-specialized applications due to its intuitive reference points based on water's phase transitions, its decimal/metric compatibility, and its widespread international adoption. It's used in meteorology, medicine, cooking, climate science, and much laboratory work where absolute temperature isn't required for calculations.
Kelvin to Celsius Formula:
Celsius to Kelvin Formula:
The conversion between Kelvin and Celsius is remarkably simple because both scales have identical unit magnitudes—a change of 1 K equals a change of 1°C. The only difference between the scales is their zero-point offset of exactly 273.15 units. This makes Kelvin-Celsius conversion much simpler than conversions involving Fahrenheit, which require both multiplication and addition/subtraction.
To convert from Kelvin to Celsius, you simply subtract 273.15 from the Kelvin temperature. This constant represents the temperature of absolute zero expressed in Celsius: 0 K = -273.15°C. Conversely, to convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature.
According to NIST Special Publication 811, the value 273.15 is exact by definition in the current SI system. This means there's no rounding error in the conversion factor itself—any measurement uncertainty comes only from the precision of the thermometer or measurement device, not from the conversion formula.
The specific value 273.15 has both historical and physical significance:
Historical Origin: Before the 2019 SI redefinition, the kelvin was defined using the triple point of water as exactly 273.16 K. The triple point (where ice, liquid water, and water vapor coexist in equilibrium) occurs at 0.01°C above the ice point (normal freezing point). This established that 0°C = 273.16 - 0.01 = 273.15 K.
Physical Meaning: The value 273.15 represents how many kelvin units separate water's freezing point (0°C) from absolute zero (0 K). This distance is determined by fundamental physics: the thermal energy difference between a state of minimal quantum motion (near absolute zero) and the kinetic energy level of water molecules at the freezing point.
Modern Status: Although the 2019 SI redefinition changed the formal basis of the kelvin (now defined via the Boltzmann constant rather than the triple point), the numerical relationship between Celsius and Kelvin remains unchanged. The BIPM explicitly defines: t/°C = T/K − 273.15, making 273.15 an exact constant in the SI system.
When converting between Kelvin and Celsius, maintaining appropriate precision is essential for scientific accuracy. According to NIST SP 811 Appendix B.7, temperature conversions should preserve the significant figures of the original measurement.
Measurement Uncertainty: In practical thermometry, the uncertainty in the temperature measurement itself usually exceeds the theoretical precision of the conversion formula. Standard laboratory thermometers have typical uncertainties of ±0.1 to ±1 K, while precision platinum resistance thermometers (PRTs) used as secondary standards achieve ±0.001 K or better. The BIPM maintains the International Temperature Scale of 1990 (ITS-90), which provides standardized procedures for realizing thermodynamic temperature with defined uncertainty levels across the full temperature range from 0.65 K to extremely high temperatures.
The notation difference emphasizes a fundamental distinction:
Correct notation examples:
Absolute zero (0 K = -273.15°C = -459.67°F) represents the lowest theoretically possible temperature. At this point, a system reaches its minimum possible energy state—not zero energy (which would violate quantum mechanics), but the quantum mechanical zero-point energy required by Heisenberg's uncertainty principle.
The popular description "all molecular motion stops" is an oversimplification. Even at absolute zero, quantum mechanical effects ensure that particles retain residual motion (zero-point motion or vacuum fluctuations). For example, helium-4 remains liquid at absolute zero under normal pressure because its zero-point energy exceeds the binding energy of the solid phase.
The third law of thermodynamics states that:
Modern low-temperature physics has achieved remarkable proximity to absolute zero:
These ultra-low temperatures enable observation of exotic quantum phenomena: Bose-Einstein condensates (first created in 1995, awarded 2001 Nobel Prize), superfluid helium, superconductivity, and quantum phase transitions. Such research has applications in quantum computing, precision metrology, and fundamental physics testing.
| Physical Phenomenon | Kelvin (K) | Celsius (°C) | Scientific Significance |
|---|---|---|---|
| Absolute Zero | 0 | -273.15 | Lowest theoretically possible temperature; quantum zero-point energy only |
| Cosmic Microwave Background | 2.725 | -270.425 | Thermal radiation remnant from Big Bang; fills entire universe |
| Liquid Helium Boiling Point | 4.22 | -268.93 | Used for superconducting magnets, MRI machines (at 1 atm) |
| Liquid Hydrogen Boiling Point | 20.28 | -252.87 | Rocket fuel cryogenic storage; lightest element |
| Liquid Nitrogen Boiling Point | 77.36 | -195.79 | Common laboratory coolant; biological sample preservation |
| Dry Ice Sublimation | 194.65 | -78.5 | Solid CO₂ direct transition to gas at atmospheric pressure |
| Water Freezing Point (Ice Point) | 273.15 | 0 | Water-ice phase transition at standard atmospheric pressure |
| Water Triple Point | 273.16 | 0.01 | Historical kelvin definition; 3 phases coexist at unique T & P |
| Standard Room Temp (NIST) | 293.15 | 20 | Reference for physical constants and engineering calculations |
| Standard Temp (IUPAC) | 298.15 | 25 | Standard for thermochemical data (with P = 1 bar) |
| Human Body Temperature | 310.15 | 37 | Normal core body temperature; range 36.1-37.2°C |
| Water Boiling Point | 373.15 | 100 | Water vaporization at standard atmospheric pressure (1 atm) |
| Lead Melting Point | 600.65 | 327.5 | Secondary thermometry fixed point for calibration |
| Surface of Venus | 737 | 464 | Hottest planetary surface; extreme greenhouse effect |
| Iron Melting Point | 1811 | 1538 | Important in metallurgy and steelmaking |
| Surface of the Sun | 5,778 | 5,505 | Solar photosphere temperature; G2V main-sequence star |
| Core of the Sun | ~15,000,000 | ~14,999,727 | Nuclear fusion: hydrogen → helium; powers solar energy |
| Kelvin (K) | Celsius (°C) | Common Context |
|---|---|---|
| 0 | -273.15 | Absolute zero (theoretical minimum) |
| 4.22 | -268.93 | Liquid helium boiling point |
| 77.36 | -195.79 | Liquid nitrogen boiling point |
| 194.65 | -78.5 | Dry ice (solid CO₂) |
| 233.15 | -40 | Extremely cold weather; F=C crossover |
| 253.15 | -20 | Freezer temperature |
| 263.15 | -10 | Cold winter day |
| 273.15 | 0 | Water freezing point |
| 283.15 | 10 | Cool day |
| 293.15 | 20 | Room temperature (NIST) |
| 298.15 | 25 | Standard temperature (IUPAC) |
| 303.15 | 30 | Warm day |
| 310.15 | 37 | Human body temperature |
| 323.15 | 50 | Hot day |
| 373.15 | 100 | Water boiling point |
| 473.15 | 200 | Baking temperature range |
| 773.15 | 500 | High-temperature processes |
| 1273.15 | 1000 | Metalworking, glass melting |
Application: When reading scientific papers, thermochemical tables, or research data that reports temperatures in Kelvin, conversion to Celsius provides more intuitive understanding for practical contexts.
Example: A chemistry paper reports reaction temperature as 298.15 K. Converting: 298.15 - 273.15 = 25°C (standard room temperature). Similarly, a cryogenic experiment at 77 K converts to -196°C (liquid nitrogen temperature), giving immediate practical context.
Application: Students learning thermodynamics often need to convert between Kelvin (used in equations like PV=nRT) and Celsius (used in everyday laboratory measurements) to develop intuition.
Example: A gas law problem states T = 350 K. Converting to Celsius: 350 - 273.15 = 76.85°C helps students recognize this is a moderately hot temperature (between room temp and boiling water), not an abstract number. This bridges theoretical physics with tangible experience.
Application: Many laboratory instruments (especially older thermocouples or resistance thermometers) may display in Kelvin, while experimental protocols specify temperatures in Celsius.
Example: A protocol requires "incubate at 37°C" (body temperature for cell culture). If your thermometer reads 310.15 K, you can verify: 310.15 - 273.15 = 37°C ✓. Or convert the protocol value: 37 + 273.15 = 310.15 K to set the equipment.
Application: Scientific databases (like NIST Chemistry WebBook) often list physical properties in Kelvin. Converting to Celsius helps compare with everyday experience or equipment specifications.
Example: A material's glass transition temperature is listed as 373 K. Converting: 373 - 273.15 = 99.85°C (approximately water's boiling point). This gives immediate context: the material softens just below 100°C, useful for processing decisions or safety considerations.
Converting Kelvin to Celsius is one of the simplest temperature conversions in science. You simply subtract 273.15 from the Kelvin temperature. The formula is: °C = K - 273.15.
For example: 273.15 K - 273.15 = 0°C (water freezing point), 373.15 K - 273.15 = 100°C (water boiling point), and 298.15 K - 273.15 = 25°C (standard room temperature). This simplicity exists because both scales have identical unit magnitudes—a change of one kelvin equals a change of one degree Celsius in size. The only difference is where each scale starts: the Kelvin scale begins at absolute zero (0 K), while the Celsius scale begins at water's freezing point (0°C), which is 273.15 kelvin above absolute zero.
According to NIST Special Publication 811, the constant 273.15 is exact by definition in the SI system, meaning there's no inherent rounding error in the conversion factor—only in your temperature measurement itself. The value represents the temperature difference between absolute zero and the ice point of water at standard atmospheric pressure (101.325 kPa). Since the 2019 SI redefinition, both Kelvin and Celsius are ultimately defined in terms of the Boltzmann constant, but their numerical relationship (the 273.15 offset) remains unchanged for all practical purposes.
This makes Kelvin-Celsius conversion much simpler than Fahrenheit conversions, which require both multiplication (by 9/5 or 5/9) and addition/subtraction. With Kelvin and Celsius, you only need to add or subtract a single constant.
0 Kelvin equals -273.15 degrees Celsius. This is absolute zero, the lowest theoretically possible temperature in the universe. At this point, a system reaches its minimum possible energy state—not truly zero energy (which would violate quantum mechanics), but the lowest quantum mechanical energy level known as zero-point energy.
The conversion is straightforward using the formula °C = K - 273.15, giving us: 0 - 273.15 = -273.15°C. This temperature represents a fundamental limit in physics. According to the third law of thermodynamics, formulated by Walther Nernst in the early 20th century, absolute zero cannot be reached by any finite series of thermodynamic processes. We can approach it arbitrarily closely but never actually attain it.
The popular description that "all molecular motion stops" at absolute zero is a useful simplification but not entirely accurate from a quantum mechanical perspective. According to Heisenberg's uncertainty principle, even at 0 K, particles retain a minimum quantum motion called zero-point motion or vacuum fluctuations. This residual energy is a consequence of wave-particle duality at the quantum scale and cannot be removed.
Modern experimental physics has achieved temperatures remarkably close to absolute zero:
At these ultra-low temperatures, exotic quantum phenomena emerge: Bose-Einstein condensates (where thousands of atoms occupy the same quantum state), superfluidity (frictionless flow), superconductivity (zero electrical resistance), and quantum phase transitions. This research has applications in quantum computing, precision measurement, and tests of fundamental physics.
The value -273.15°C as absolute zero has been known since the 19th century through extrapolation of gas laws. It represents the temperature at which an ideal gas would theoretically have zero volume and pressure—a physical impossibility (gases liquefy first), but a useful mathematical limit that led to the concept of absolute zero and ultimately to the Kelvin scale.
273.15 Kelvin equals exactly 0 degrees Celsius. This is the freezing point of water (ice point) at standard atmospheric pressure (101.325 kPa or 1 atmosphere), one of the most fundamental reference temperatures in science and everyday life.
The conversion is simple: °C = 273.15 - 273.15 = 0°C. This temperature represents the phase transition where liquid water transforms into solid ice under normal pressure conditions. It's historically significant because the Celsius scale was originally defined using this as one of its two fixed points (along with the boiling point at 100°C).
The value 273.15 K for water's freezing point emerged from the historical definition of the Kelvin scale. Before 2019, the kelvin was defined using the triple point of water as exactly 273.16 K—the unique temperature and pressure where ice, liquid water, and water vapor coexist in equilibrium. Since the triple point is 0.01°C above the normal freezing point, this established: 0°C = 273.16 - 0.01 = 273.15 K.
Although the 2019 SI redefinition changed the formal basis of the kelvin (now defined via the Boltzmann constant rather than water's triple point), the numerical relationship remains: 0°C is still 273.15 K. This continuity was carefully maintained to avoid disrupting decades of scientific data and measurements.
This temperature is crucial in many fields:
It's important to note that water's freezing point varies with pressure (decreases by about 0.0074°C per atmosphere of increased pressure) and purity (dissolved salts or impurities lower the freezing point). The 273.15 K value specifically refers to pure water at exactly 101.325 kPa pressure—the formally defined "standard atmospheric pressure."
We subtract 273.15 because that's the offset between the two scales' zero points. The Kelvin scale starts at absolute zero (0 K = the coldest possible temperature), while the Celsius scale starts at water's freezing point, which happens to be 273.15 kelvins above absolute zero.
Both scales have identical unit sizes—a change of 1 K equals a change of 1°C in magnitude. This means the scales are parallel; they just start at different points. To convert from Kelvin to Celsius, we need to shift by the offset between their starting points: 273.15 units.
Think of it as two rulers measuring the same thing but starting at different reference points. If one ruler (Kelvin) starts at absolute zero and reads 300, and another ruler (Celsius) starts 273.15 units up from there, the second ruler would read 300 - 273.15 = 26.85.
Why specifically 273.15? This value represents the fundamental physical quantity: how many kelvin units separate water's freezing point from absolute zero. This is determined by the thermal energy difference between:
Historically, this value was established when Lord Kelvin (William Thomson) proposed an absolute temperature scale in the 1850s. By extrapolating the behavior of gases (using the ideal gas law), scientists determined that absolute zero would be approximately -273°C. Later, more precise measurements and the definition of the kelvin using water's triple point (273.16 K) established the exact value as 273.15 K for the ice point.
According to NIST SP 811 and the BIPM SI Brochure, the relationship t/°C = T/K − 273.15 is exact by definition in the current SI system. Even after the 2019 SI redefinition changed how the kelvin is fundamentally defined (now based on the Boltzmann constant), this numerical relationship was preserved to maintain continuity with historical data and measurements.
The simplicity of the conversion (just add or subtract a constant) makes Kelvin-Celsius conversions much easier than Fahrenheit conversions, which require both multiplication and addition/subtraction because Fahrenheit has both a different zero point AND a different unit size.
298.15 Kelvin equals 25 degrees Celsius. This is standard temperature as defined by IUPAC (International Union of Pure and Applied Chemistry) for reporting thermochemical data, combined with a pressure of 1 bar (100 kPa) to constitute "standard ambient temperature and pressure" (SATP).
The conversion is straightforward: °C = 298.15 - 273.15 = 25°C. This temperature is widely used as a reference point in chemistry, materials science, and engineering because it represents typical ambient conditions in many parts of the world—comfortable room temperature in climate-controlled environments.
Why 298.15 K (25°C) as a standard?
Applications of 298.15 K standard:
It's worth noting that different organizations use slightly different standard temperatures:
When citing or using reference data, always check which standard temperature was used, as thermodynamic properties can vary significantly with temperature. For example, many reactions that are non-spontaneous (ΔG° > 0) at 298.15 K become spontaneous at higher temperatures due to entropy contributions.
373.15 Kelvin equals 100 degrees Celsius. This is the boiling point of water at standard atmospheric pressure (101.325 kPa or 1 atmosphere), representing the temperature at which liquid water rapidly vaporizes into steam.
The conversion: °C = 373.15 - 273.15 = 100°C. This temperature, along with the freezing point (0°C = 273.15 K), historically defined the Celsius scale. Anders Celsius originally proposed dividing the temperature range between water's freezing and boiling points into 100 equal divisions—hence the name "centigrade" (hundred steps) before it was officially renamed "Celsius" in 1948.
The boiling point of water is particularly important because:
Important note on pressure dependence: Unlike many physical constants, water's boiling point varies significantly with atmospheric pressure. The 100°C (373.15 K) value specifically applies at standard atmospheric pressure of exactly 101.325 kPa (1 atm). At different pressures:
The relationship between pressure and boiling point is described by the Clausius-Clapeyron equation, which relates vapor pressure to temperature for phase transitions. This is why high-altitude cooking requires recipe adjustments and why pressure cookers reduce cooking time.
For high-precision thermometry, the International Temperature Scale of 1990 (ITS-90) uses the triple point of water (273.16 K = 0.01°C) rather than the boiling point as a fixed point, because the triple point is more precisely reproducible (it occurs at a unique temperature-pressure combination) and doesn't require precise pressure control like the boiling point does.
In normal circumstances, Kelvin temperatures cannot be negative because the Kelvin scale is an absolute scale starting at absolute zero (0 K), the lowest theoretically possible temperature. According to the third law of thermodynamics and fundamental physics, there is no temperature below absolute zero—0 K represents the minimum energy state of matter (specifically, the quantum mechanical zero-point energy).
If you were to hypothetically apply the conversion formula to a negative Kelvin value, the mathematics would work: °C = K - 273.15, so -1 K would become -1 - 273.15 = -274.15°C. However, this result is physically meaningless in almost all contexts because negative Kelvin temperatures don't exist in normal thermodynamics.
The Exotic Exception: Negative Absolute Temperatures in Quantum Systems
There is, however, a fascinating and highly specialized exception in quantum physics. In certain exotic quantum systems with population inversion (where higher energy states are more populated than lower energy states), physicists have mathematically defined "negative absolute temperatures." But these are profoundly counterintuitive and don't represent cold at all.
Key points about negative absolute temperatures:
For example, if a specialized quantum system were at -1 K (negative one kelvin), converting to Celsius would give -274.15°C, but this wouldn't represent extreme cold. Instead, it would represent an extremely high-energy state hotter than infinite positive temperature, due to the way temperature is defined thermodynamically as ∂S/∂E (the change in entropy with respect to energy).
Practical Conclusion: For all everyday applications—weather, cooking, scientific experiments, industrial processes, medical uses, cryogenics, materials science, and virtually all physics and chemistry—Kelvin temperatures are always positive or zero. The Kelvin scale ranges from 0 K (absolute zero) to arbitrarily high positive values. Negative Kelvin temperatures are a fascinating theoretical edge case in specialized quantum systems but have no relevance to temperature conversion for practical purposes.
According to NIST and BIPM standards, thermodynamic temperature is defined as a positive-valued quantity. When using this converter or any temperature conversion in normal contexts, always ensure input temperatures are ≥ 0 K.
Room temperature typically ranges from 293.15 to 298.15 Kelvin (20-25°C or 68-77°F), depending on the standard being referenced, regional preferences, and the specific application. There isn't a single universal "room temperature" value—different scientific organizations and contexts use slightly different standards.
Official Standards for Room Temperature:
Converting Between Standards:
Why Different Standards Exist:
Context-Specific Room Temperatures:
When citing experimental data or using reference values, it's important to specify the exact temperature rather than using the ambiguous term "room temperature." According to NIST guidelines for scientific publications, always state the actual temperature (e.g., "measurements were performed at 293.15 K") rather than generic terms, to ensure reproducibility and proper interpretation of results.
The main difference between Kelvin and Celsius is their zero point: Kelvin starts at absolute zero (0 K = -273.15°C), while Celsius starts at water's freezing point (0°C = 273.15 K). However, both scales have identical unit magnitudes—a change of 1 K equals a change of 1°C—so they're parallel scales offset by exactly 273.15 units.
Key Differences:
1. Zero Point (Origin):
2. Scale Type:
3. Notation:
4. SI Status:
5. Scientific Use:
6. Negative Values:
7. Definition:
Practical Example Comparing Both:
When to Use Which Scale:
According to the BIPM SI Brochure and NIST SP 811, both units are acceptable for scientific use, but kelvin is recommended for expressing thermodynamic temperature when absolute temperature is relevant to the calculation or measurement. Many scientists routinely convert between them: measuring and recording in Celsius (more intuitive), then converting to Kelvin for calculations (mathematically necessary), and sometimes converting results back to Celsius for reporting (more accessible to broader audiences).
Guide for the Use of the International System of Units (SI). Authoritative guidance on temperature units, conversion factors, and proper notation for Kelvin and Celsius. Section 4 extensively covers thermodynamic temperature.
https://physics.nist.gov/cuu/pdf/sp811.pdfThe International System of Units (SI), official publication defining all SI units. Section 2.1.1.4 details the 2019 redefinition of the kelvin based on the Boltzmann constant. Section 2.1.1.5 defines Celsius in relation to kelvin.
https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdfHistorical resolutions including the 13th CGPM (1967-1968) removing the degree symbol from kelvin, and the 26th CGPM (2018) approving the 2019 SI redefinition. Essential for understanding the evolution of temperature measurement standards.
https://www.bipm.org/en/committees/cg/cgpmOfficial CODATA-recommended value of the Boltzmann constant, now defined as exactly 1.380649×10⁻²³ J/K. This constant forms the basis of the modern kelvin definition.
https://physics.nist.gov/cgi-bin/cuu/Value?kThe practical scale for realizing thermodynamic temperature with specified fixed points, interpolation equations, and calibration procedures. Used by national metrology institutes for traceable temperature measurements from 0.65 K to extremely high temperatures.
https://www.bipm.org/en/committees/cc/cct/publications-cc/its-90International Union of Pure and Applied Chemistry standards for thermochemical data, defining standard temperature as 298.15 K (25°C) and standard pressure as 1 bar (100 kPa) for reporting thermodynamic properties.
https://iupac.org/what-we-do/periodic-table-of-elements/thermochemistry/Committee on Data for Science and Technology's authoritative compilation of fundamental constants, including comprehensive discussion of the Boltzmann constant and its role in defining temperature.
https://physics.nist.gov/cuu/Constants/Technical information on low-temperature physics, cryogenic fluids, and practical aspects of achieving and measuring ultra-low temperatures approaching absolute zero. Includes data on liquid helium, liquid nitrogen, and dilution refrigeration.
https://www.nist.gov/pml/sensor-science/cryogenic-technologies