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Atmospheric pressure air

Values for calculation

p_b \mathrm{Pa}
g \mathrm{m/s^2}
R \mathrm{J\cdot\ K^{-1}\cdot\ kg^{-1}}
T \mathrm{K}
H \mathrm{m}
H_b \mathrm{m}
β \mathrm{K\cdot\ m^{-1}}
T_b \mathrm{K}

Calculation

Atmospheric pressure air

\text{if }\ β=0
p_{air}=p_b\cdot\exp\left[-\cfrac{g}{R\cdot T}\cdot\left(H-H_b\right)\right]
\text{else}
p_{air}=p_b\cdot\left[1+\cfrac{β}{T_b}\cdot\left(H-H_b\right)\right]^{-g/\left(β\cdot R\right)}