How this calculator works
- Step 1SaturationesThe most vapour the air could hold at its temperature.
- Step 2Actual vapoure = es × rh ÷ 100Relative humidity scales it down.
- Step 3Dew pointes(Td) = eThe temperature at which e would saturate.
Warm air can hold more water vapour than cold air. The dew point is the temperature at which the vapour already in the air would be enough to saturate it.
The calculator uses the vapour pressure formula from the US National Weather Service weather calculator sheets.
Worked example: 30 °C at 70% humidity
- Saturation
es = 6.11 × 10^(7.5T ÷ (237.3 + T))- Dew point
Td = 237.3L ÷ (7.5 ln 10 − L), L = ln(e ÷ 6.11)
- TAir temperature 30 °C
- rhRelative humidity 70%
- Saturationes at 30 °C42.44 hPa
- Actual vapoures × 70 ÷ 10029.71 hPa
- Dew pointsolve for Td23.9 °C
Cool this air by 6.1 °C and dew forms. Going the other way, 30 °C with a 24 °C dew point gives 70.3% humidity.
Same humidity, different dew points
The hot desert afternoon has only 20% humidity, yet more vapour in the air than the comfortable room at 50%.
Read the result
Relative humidity changes as the air warms or cools; the dew point stays the same until vapour is added or removed.
That is why forecasters often quote the dew point: it measures how much moisture the air holds. At 25 °C, a 10 °C dew point means 38.8% humidity.
Assumptions and limits
- Over waterVapour pressure over liquid water, also used below 0 °C.
- ApproximationThe NWS formula is a fitted curve, close but not exact.
- PressurePressure does not enter this formula.
- Frost pointBelow freezing, frost forms slightly above the dew point shown.
Related weather tools
Dew point measures moisture. How the air feels also depends on heat and wind.
For how hot it feels, use the heat index calculator. In winter, the wind chill calculator gives the felt temperature in wind.
Common mistakes
Mistake: Treating high humidity as lots of moisture.
Instead: Compare dew points; humidity depends on the temperature.
Mistake: Entering a dew point above the air temperature.
Instead: The dew point can at most equal the air temperature.
Mistake: Mixing readings from different times.
Instead: Take temperature and humidity together.
Checking the method
Every golden value is re-worked by a separate script that finds the dew point by bisection in 40-digit decimal.
The script never uses the closed-form inverse, so a slip in that formula would show up as a mismatch.
Read how we test our calculators, or browse more maths calculators.