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Earth Science — Meteorology Equations

Lapse rate, humidity and the hydrostatic equation.

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\Gamma_d = \frac{g}{c_p} \approx 9.8\ \text{K/km}

RH = \frac{e}{e_s}\times 100\%

\text{Dew point } T_d:\quad e = e_s(T_d)

\frac{dp}{dz} = -\rho g