Suppose that `eta_0` is the ratio of the molecular concentration of hydrogen to that of nitrogen at the Earth's surface, while `eta` is the corresponding ratio at the height `h = 3000 m`. Find the ratio `eta//eta_0` at the temperature `T = 280 K`, assuming that the temperature and the free fall acceleration are independent of the height.

Explanation

`eta = ("condetration of "H_2)/("concentration of "N_2) = eta_0 (e^(-M_(H_2) gh//RT))/e^(-M_(N_2) - gh//RT) = eta_0 e^((M_(N_2) - M_(H_2))gh//RT)`
So more `N_2` at the bottom, `((eta)/(eta_0) = 1.39 here)`.