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What is the relationship between air pressure and air density?

For the pressures and temperatures we deal with on a regular basis, air can be approximated as an ideal gas, that means it follows the ideal gas law fairly closely (PV=RT or PV=nRT). Since density can be expressed as either moles per volume or simply the inverse of the specific volume, these equations can be rearranged to density=(1/V) (or n/V)=P/RT , where P is the pressure, T is the temperature, and R is the universal gas constant. If you assume that the air you are talking about is at a constant temperature, density and pressure are directly related, that is, an increase in pressure will increase the density.

## What is the relationship between air pressure and air density?