(Solution) - The rate of change of atmospheric pressure P with respect -(2025 Original AI-Free Solution)

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The rate of change of atmospheric pressure P with respect to altitude is proportional to P, provided that the temperature is constant. At 15°C the pressure is 101.3 kPa at sea level and 87.14 kPa at h = 100 m.
(a) What is the pressure at an altitude of 3000 m?
(b) What is the pressure at the top of Mount McKinley, at an altitude of 6187 m?