Saturation Vapor Pressure Calculator
Find the maximum water vapor pressure air can hold at a given temperature.
Result
How it is calculated
The input is air temperature T in degrees Celsius. The tool applies the Tetens equation: es = 6.1078 × 10(7.5 × T ÷ (T + 237.3)) in hectopascals (hPa), and divides by 10 for kilopascals (kPa). The same water-surface constants are used for every temperature, including below 0 °C, where the value is the pressure over supercooled liquid water rather than over ice. The equation is an approximation that is best between roughly 0 and 50 °C; at 100 °C it returns 1,021.94 hPa, slightly above the 1,013 hPa of standard atmosphere, so do not use it near boiling. Any temperature above −237.3 °C is accepted. The tool gives saturation pressure only, not relative humidity or dew point.
Worked example
Air at 25 °C. Exponent = 7.5 × 25 ÷ (25 + 237.3) = 187.5 ÷ 262.3 = 0.7148. Then 100.7148 is about 5.186, and es = 6.1078 × 5.186 = 31.67 hPa, which is 3.17 kPa. This is the highest water vapor pressure air at 25 °C can hold. If the actual vapor pressure is 20 hPa, the relative humidity would be 20 ÷ 31.67, about 63%.
Common mistakes
- Entering the temperature in Fahrenheit or Kelvin. The field is Celsius only: 77 °F must be entered as 25, and 298 K as 25.
- Confusing saturation vapor pressure with actual vapor pressure. The result is the maximum at that temperature; the real value is lower unless the air is saturated.
- Mixing up hPa and kPa when feeding other formulas. 31.67 hPa equals 3.17 kPa, a factor of ten.
- Using the result for water at its boiling point or for ice below freezing. The formula is tuned to liquid water in the usual weather range, so errors grow outside it.
About this calculator
The Tetens formula, a widely used empirical approximation published by Otto Tetens in 1930, estimates the saturation vapor pressure of water over a flat surface from air temperature alone — the maximum partial pressure water vapor can exert at that temperature before it begins to condense. Saturation vapor pressure rises roughly exponentially with temperature, which is why warm air can hold dramatically more moisture than cold air.
Meteorologists and atmospheric scientists use saturation vapor pressure as the foundation for calculating relative humidity, dew point, and the vapor pressure deficit that drives evaporation and plant transpiration; agronomists and greenhouse managers rely on the same relationship to estimate crop water demand, while HVAC engineers use it in psychrometric calculations for dehumidification and condensation control.
This calculator takes an air temperature and applies the Tetens formula to return the saturation vapor pressure at that temperature.
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