assume that earth's atmosphere has a uniform temperature of 20 celcius and uniform composition, with an effective molar mass of 28.9g/mol.
a) Show that the number density of molecules depends on height according to :
N(y) = Ni(e)^(-mgy/kT)
where Ni is the density at sea level where height is y=0. and m is mass, k is the Boltzmann constant and T is temperature.
b) commercial jetliners typically cruise at an altitude of 11km. find the ratio of the atmospheric density there to the density at sea level