Air Density Calculator

Published By: Calculator Academy

Last Updated: August 1, 2024
Reviewed By: Patrick Myers (BSME)

Enter the dry-air partial pressure (pd), water vapor partial pressure (pv), and air temperature into the air density calculator. If you only know total air pressure p, first compute pd = ppv. The calculator will display the current air density at those conditions.

Air Density Calculator

Enter any 3 values to calculate the missing variable

If you only know total pressure p, use pd = ppv.

Air Density Formula

The following formula is used to calculate air density for moist air using the partial pressures of dry air and water vapor (total pressure p = pd + pv).

ρ = (pd / (Rd * T)) + (pv / (Rv * T))

where:

  • pd is the partial pressure of dry air in Pa,
  • pv is the partial pressure of water vapor in Pa,
  • T is the air temperature in Kelvins,
  • Rd is the specific gas constant for dry air equal to 287.058 J/(kg·K), and
  • Rv is the specific gas constant for water vapor equal to 461.495 J/(kg·K).

Air Density Definition

Air density is the mass per unit volume of air under a given temperature and pressure (and it can also vary with humidity).

How to calculate air density?

  • 1.First, determine the pressure of dry air
    • This is the dry-air partial pressure pd. If you know total pressure p and water vapor pressure pv, then pd = ppv.
  • 2.Next, determine the water vapor pressure
    • This is dependent on the relative humidity.
  • 3.Measure the air temperature
    • Measure the air temperature and convert it to Kelvin.
  • 4.Calculate the air density
    • Calculate the air density using the formula above.

FAQ

What is air density?

Air density is the total mass of air within a given volume.

How can air density change?

Air density can change with temperature and pressure. Increasing pressure increases density (at a given temperature). Increasing temperature decreases density (at a given pressure).

air density calculator
air density formula