Air pressure, P, decreases exponentially with the height, h, in meters above sea

Question

Air pressure, P, decreases exponentially with the height, h, in meters above sea level: p= p0e-0. 00012h where P0 is the air pressure at sea level. At the top of Mount McKinley, height 6194 meters (about 20,320 feet), what is the air pressure, as a percent of the pressure at sea level? Round your answer to one decimal place. The air pressure is about % of sea level pressure. The maximum cruising altitude of an ordinary commercial jet is around 12,000 meters (about 39,000 feet). At that height, what is the air pressure, as a percent of the sea level value? Round your answer to one decimal place. The air pressure is about % of sea level pressure.

Explanation / Answer

pressure at sea level = p0
at heuight 6194 m = p0.e-0.00012*6194 = .4755 p0 = 47.55 percent at sea level

at height 12000 , pressure = p0 *.236

so answer = 23.6 percent of pressure at sea level

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