Problem: The rate change of atmospheric pressure P with respect to altitude h is proportional to P, provided that the temperature is constant. At a specific temperature the pressure is 102.8 kPa at sea level and 88.4 kPa at h = 1,000 m.

a. What is the pressure at an altitude of 4500m?

b. What is the pressure at the top of a mountain that is 6161 m high?