What is the air pressure at the summit of Mount Everest at an altitude above sea level? Use the barometric formula for the isothermal atmosphere from the last section. Assume that at sea level there is an air pressure of . The temperature of the atmosphere is . The molar mass of air is
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With the given values for temperature and molar mass, the scale height results to H = M g R T = 0 . 0 2 9 kg / mol ⋅ 9 . 8 1 m / s 2 8 . 3 1 4 J / mol K ⋅ 2 8 8 K ≈ 8 4 1 7 m which corresponds to the height of the highest mountains. For the summit of the Mount Everest we get an air pressure P = P 0 exp ( − z / H ) = 1 0 1 3 hPa ⋅ exp ( − 8 8 4 8 / 8 4 1 7 ) ≈ 3 5 4 hPa