Science & Engineering

Air Density Calculator (Pressure, Temp, Humidity)

Compute air density from pressure, temperature, and humidity. It uses the ideal gas law for dry and moist air, with Magnus saturation vapour pressure for the humid case.

How to use
  1. Enter the air pressure.
  2. Enter the temperature.
  3. Add the humidity to account for moist air.
Altitude
Air density (ρ)

moist-air density at your conditions

In g/m³
In lb/ft³
Dry-air density
% of ISA standard
Saturation VP
ISA altitude equiv.
For study and estimation. Verify against authoritative data before relying on a result.
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How it's calculated

ρ = Pd ÷ (Rd·T) + e ÷ (Rv·T)

Pd = dry-air partial pressure (Pa) = P − e, e = water-vapour pressure, T = temperature (K), Rd = 287.058, Rv = 461.495 J/(kg·K). e = RH·eₛ, eₛ = 6.1094·exp(17.625·Tc/(243.04+Tc)). Humid-air (CIPM/Magnus) density.

Common questions

Does humidity make air denser or lighter?

Humid air is actually lighter than dry air at the same pressure and temperature, because water vapour is less dense than the nitrogen and oxygen it displaces.

What is ISA altitude equivalent?

It is the altitude in the standard atmosphere model that would produce the same air density, handy for performance comparisons.