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Relative Humidity Calculator — Calculate RH from Temperature and Dew Point

Calculate relative humidity from air temperature and dew point using the Revised Magnus formula (Alduchov & Eskridge). Supports metric (°C) and US imperial (°F) units. Shows absolute humidity, vapor pressures, dew point spread, and comfort level.

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Calculation Parameters

°C

Valid range: −40°C to 60°C

°C

Dew point must be ≤ air temperature

Enter Parameters

Fill in the form on the left and click "Calculate"

What Is Relative Humidity?

Relative humidity (RH) is a measure of how moist the air is. It expresses the actual amount of water vapor present in the air as a percentage of the maximum amount the air can hold at a given temperature. In other words, relative humidity tells us how close the air is to being fully saturated with moisture.

RH = 100 × (actual vapor pressure / saturation vapor pressure)

When relative humidity reaches 100%, the air is fully saturated and dew — or fog — starts to form.

How to Calculate Relative Humidity

The most accurate method uses the Revised Magnus formula (Alduchov & Eskridge, 1996), which relates relative humidity to air temperature (T) and dew point temperature (Dₚ):

RH = 100 × exp(β·Dₚ / (λ + Dₚ)) / exp(β·T / (λ + T))

where  β = 17.625
       λ = 243.04 °C  (Revised Magnus coefficients)

The same formula can be inverted to find the dew point if you already know temperature and RH:

Dₚ = λ × (ln(RH/100) + β·T/(λ+T)) / (β − (ln(RH/100) + β·T/(λ+T)))

How to Use the Relative Humidity Calculator

  1. Select your unit system — Metric (°C) or Imperial (°F).
  2. Enter the air temperature (dry-bulb temperature measured in shade).
  3. Enter the dew point temperature — the temperature at which air becomes saturated. It must be ≤ the air temperature.
  4. Click Calculate. The calculator instantly displays relative humidity, absolute humidity, vapor pressures, and a comfort level assessment.

Example: Air temperature 25 °C, dew point 14 °C → RH ≈ 50.7% (comfortable).

How Do We Measure Relative Humidity?

Relative humidity is measured with a hygrometer. Common types include:

  • Psychrometer (wet-and-dry-bulb thermometer) — uses two thermometers; one has a wet wick. Evaporative cooling on the wet bulb gives the dew point.
  • Capacitive sensor — a polymer film changes capacitance with moisture; used in digital weather stations and smartphones.
  • Hair hygrometer — human hair lengthens when humid; inexpensive but less accurate.
  • Chilled mirror hygrometer — cools a mirror until dew condenses; extremely precise, used in laboratories.

What Is an Ideal Level of Relative Humidity?

RH Range Comfort Level Notes
< 25%Very DrySkin irritation, static electricity, increased dust
25–35%DryMay cause dry skin and respiratory discomfort
35–60%ComfortableIdeal range for human health and indoor comfort
60–70%HumidFeels muggy; mold risk increases
70–80%Very HumidSweat evaporation slows; perceived temperature rises
> 80%OppressiveHeat stress risk; rapid mold and bacterial growth

Absolute Humidity vs Relative Humidity

Absolute humidity (AH) is the actual mass of water vapor in a unit volume of air, expressed in g/m³. It does not depend on temperature — unlike relative humidity, which changes as temperature changes even if the moisture content stays the same.

AH (g/m³) = 216.7 × Pw / (273.15 + T)

where Pw is the actual vapor pressure in hPa and T is temperature in °C.

FAQs

Why does relative humidity feel higher at the same temperature in summer?

Warm air can hold more water vapor. The same dew point — say 20 °C — produces a higher RH at 25 °C than at 35 °C, because the saturation vapor pressure is lower at the cooler temperature.

Can relative humidity exceed 100%?

In clean air, supersaturation (RH > 100%) is briefly possible, but in practice water quickly condenses onto aerosol particles, so RH stays at or below 100%.

What is the dew point spread?

The dew point spread (T − Dₚ) indicates how far the air is from saturation. A spread of less than 2–3 °C means fog or dew is imminent; a spread greater than 20 °C indicates very dry air.

How does humidity affect perceived temperature?

High humidity slows the evaporation of sweat, reducing the body's ability to cool itself. This is why 35 °C at 80% RH feels far hotter than 35 °C at 20% RH. The heat index (apparent temperature) accounts for both temperature and humidity.

Calculation History

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