NASA is planning a mission to a new found planet and will monitor the density of the new planet's atmosphere. Assume that NASA knows that atmosphere behaves as an ideal gas and that the planet's gravitational force is a function of altitude:

g (z) = 18.7 m/s^2 (1 - z/10000 m)

where z is in meters. The temperature of the atmosphere is constant at 250 K, and the gas constant is 340 N* m(kg*K).
Assume that the pressure are the planet's surface 2 atm. Calculate the pressure and density at an altitude of 1,5, and 9 km.