created at May 19, 2021

Barometric formula

The barometric formula defines atmospheric pressure dependence from altitude.

p=p0exp(Mghh0RT)p=p_{0}\cdot exp\left ( -M\cdot g\cdot \frac{h-h_{0}}{R\cdot T} \right )

where:

  • p0 - pressure on Earth surface
  • M - molar mass of Earth's air
  • g - gravitational acceleration
  • R - universal Gas constant
  • T - air's absolute temperature

let's consider:

p0 = 101325 Pa

M = .029 kg/mol

R = 8.3145 J/(mol*K)

T = 273 K

Fig.1 Atmospheric pressure depending on height (meters)