The rate of change of atmospheric pressure P with respectto altitude h is proportional to P, provided that the temperatureis constant. At 15°C the pressure is 101.3 kPa at sealevel and 87.14 kPa at h=1000m.(a) What is the pressure at an altitude of 3000 m?(b) What is the pressure at the top of Mount McKinley, atan altitude of 6187 m?

Principles of Physics: A Calculus-Based Text
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Chapter15: Fluid Mechanics
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The rate of change of atmospheric pressure P with respect
to altitude h 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=1000m.
(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?

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