I'm only stuck on part d. I am using the formula p=p0e^(-h/h0). however I do not know what to put in for h0 since it is the scale for the equation. Is it common convention to set it to 1000m?

dP my p. dz called the barometric equation. (c) Assuming that the temperature of the atmosphere is independent of height (not a great assumption but not terrible either), solve the barometric equa- tion to obtain the pressure as a function of height: P(z) = P(0)e-mgz/kT Show also that the density obeys a similar equation. (d) Estimate the pressure, in atmospheres, at the following locations: Ogden, Utah (4700 ft or 1430 m above sea level); Leadville, Colorado (10, 150 ft, 3090 m); Mt. Whitney, California (14,500 ft, 4420 m); Mt. Everest, Nepal Tibet (29,000 ft, 8850 m). (Assume that the pressure at sea level is 1 atm. ) (P(0) at sea level z = 0 is 1 atm, and let T = 280 K. Air is ~80% N, and 20% Oz, from which you can estimate the average molecular weight m.) msi