5. 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 (h = 0) and 87.14 kPa at h = 1000 m. a) Write an expression that gives the pressure P as a function of altitude, h. astent to ex b) What is the pressure at an altitude of 2000 m? c) At what altitude will the pressure drop to 50 kPa