Dew Point Calculator: Humidity, Condensation and Mold Risk

How the dew point calculator works: at 68 °F (20 °C) and 50 % relative humidity the dew point is 48.7 °F (9.3 °C). Any surface colder than that gets wet with condensation. Mold can start earlier – from about 80 % humidity at the surface, here below 54.7 °F (12.6 °C).

Example: Temperature unit: °F (Fahrenheit) · What do you know: Temperature + relative humidity → dew point · Air temperature 68 · Relative humidity 50 % · Surface temperature (wall, window) 57 → Result: Dew point 48.7 °F (at 68 °F and 50 %). Source: WMO-No. 8, WMO-No. 8, Guide to Instruments and Methods of Observation, Vol. I, Ch. 4, Annex 4.B – Magnus formula e_w = 6.112 exp(17.62 t/(243.12 + t)). Updated: .

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Result

Result
Dew point 48.7 °F (at 68 °F and 50 %)
At the surface
Borderline: 73.6 % humidity at the surface (57 °F). Below 70 % mold hardly grows; ventilate more or heat a little.
All values
QuantityValue
Dew point48.7 °F
Relative humidity50 %
Absolute humidity8.6 g/m³
Vapor pressure11.7 hPa
Saturation vapor pressure23.3 hPa
Mold threshold (80 % at the surface) below54.7 °F
Humidity at a surface of 57 °F73.6 %
Step by step
  • In Celsius: (68 − 32) × 5/9 = 20 °C
  • Saturation vapor pressure (Magnus): e_s = 6.112 hPa · exp(17.62 · 20 / (243.12 + 20)) = 23.33 hPa
  • Vapor pressure: e = 50 % · 23.33 hPa = 11.66 hPa
  • Dew point: γ = ln(11.66 / 6.112), τ = 243.12 · γ / (17.62 − γ) = 9.255 °C
  • Absolute humidity: 216.7 · 11.66 / (20 + 273.15) = 8.621 g/m³
  • Mold threshold: temperature at which 11.66 hPa is 80 % (e_s = 14.58 hPa) → 12.62 °C

How it is calculated

What is the dew point?

The dew point is the temperature to which air must cool for its water vapor to start condensing – relative humidity then reaches 100 %. When indoor air cools below its dew point at a cold wall, window or pipe, water condenses there. Outdoors, the US National Weather Service calls dew points of 65 °F and more oppressive.

Dew point formula (Magnus)

The saturation vapor pressure over water follows the Magnus formula with the coefficients published by the World Meteorological Organization (WMO-No. 8):

e_s(t) = 6.112 hPa · exp(17.62 · t / (243.12 + t)), t in °C

  1. Vapor pressure of the air: e = relative humidity × e_s(t)
  2. γ = ln(e / 6.112)
  3. Dew point: τ = 243.12 · γ / (17.62 − γ)

Example 68 °F (20 °C), 50 %: e_s = 23.33 hPa, e = 11.66 hPa, γ = 0.646, τ = 9.3 °C = 48.7 °F.

Dew point chart (°F)

Air40 %50 %60 %70 %
65 °F40 °F46 °F51 °F55 °F
68 °F43 °F49 °F54 °F58 °F
72 °F46 °F52 °F57 °F62 °F
75 °F49 °F55 °F60 °F65 °F
80 °F54 °F60 °F65 °F69 °F

Mold on walls: the 80 % rule

Mold doesn’t need liquid water. According to the German Environment Agency’s mold guideline, a surface relative humidity of about 70–80 % over longer periods is enough, while below 70 % mold hardly grows. Because air cools at a cold wall, its relative humidity rises there. The calculator therefore shows the surface temperature at which 80 % is reached – 54.7 °F (12.6 °C) for room air at 68 °F and 50 %.

Limitations

The Magnus formula is an approximation (under 0.5 % deviation from exact tables in the usual range) and applies from about −45 °C to 60 °C. Consumer hygrometers are often only accurate to ±3–5 %. Moisture analysis of whole wall assemblies (vapor retarders, insulation layers) needs the layer build-up and heat flow – that calls for a professional assessment.

Frequently asked questions

How do you calculate the dew point?

With the Magnus formula: get the vapor pressure from temperature and relative humidity, then γ = ln(e/6.112) and τ = 243.12 · γ / (17.62 − γ) in °C. At 68 °F and 60 % the dew point is 53.6 °F (12.0 °C).

What is a comfortable dew point?

The US National Weather Service rates summer dew points up to 55 °F as dry and comfortable, 55–65 °F as sticky with muggy evenings and 65 °F or more as oppressive.

How do I know if my wall will get mold?

Measure the coldest spot (room corner, window reveal) with an infrared thermometer and enter it as surface temperature. If humidity at the surface stays above 80 % for long periods, mold is likely.

What is the difference between relative and absolute humidity?

Absolute humidity is the mass of water per cubic metre of air. Relative humidity is the percentage of the maximum possible at that temperature – so it rises when the same air cools.

Why do windows fog up in winter?

The glass is colder than the dew point of the room air. At 68 °F and 50 %, glass below 48.7 °F fogs up. Ventilating lowers the moisture content and with it the dew point.

Sources and legal basis

As of:

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