The density of air on the Earth decreases almost linearly with height from 1.22kgm-3 at sea level

to 0.74 kgm-3 at an altitude of 5000m.

Atmospheric pressure at the Earth's surface on a particular day is 100000Pa. The value of g

between the Earth's surface and an altitude of 5000 m can be considered to have a constant

value of 9.7ms-2.

What will be the atmospheric pressure at an altitude of 5000m?

the answer is 52000 Pa

Question

21 May, 00:39

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Answers (1)

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Trystan Mcintosh · Answer 1

P = 10^5 - ρ (average) gh

where ρ (average) = average air density between 0 and 5000 m = (1.22+0.74) / 2 = 0.98

we know g & h

I get P = 52470 Pa