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 101.3kPa at sea level and 81.14kPa at h=1000m
What is the pressure at the top of mount Kosciusko, at an altitude of 2228m?
Thanks in advance!

Question

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 101.3kPa at sea level and 81.14kPa at h=1000m
What is the pressure at the top of mount Kosciusko, at an altitude of 2228m?
Thanks in advance!

anonymous · Answer

$$\frac{ dP }{ dh } =rP$$

anonymous · Answer

$$\frac{ dP }{P} =rdh$$

anonymous · Answer

integrate and solve for  P(h)
P(0) =101.3kPa
P(1000) = 81.14kPa

anonymous · Answer

Let me know if you have any questions