Ideal Gas Law

The ideal gas law is an excellent approximation of the behavior of many gases, including a lot of those in our atmosphere (Nitrogen, oxygen, water vapor, argon, carbon dioxide etc.)

$Pressure=Density\times Temperature\times Constant$ The constant is called the Gas Constant and depends on the composition. At the same pressure, warm air is less dense than cold air.

Break down of ideal gas law $p=\rho RT$ P = pressure: units of Pascal (Pascal = N/m^2) $\rho$ = density: units of kg/m^3 = Mass/volume R = Gas constant = 287 $J/(kg\ast K);(1J=N\ast m)$ T = temperature: units of Kelvin

$Mass=\frac{Pressure(\frac{N}{m^2})\ast Volume(m^3)}{R(\frac{N\ast m}{kg\ast K})\ast Temperature(K)}$