Problem 2.104

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 $h=3000 \mathrm{~m} .$ Find the ratio $\eta / \eta_{0}$ at the temperature $T=280 \mathrm{~K}$, assuming that the temperature and the free fall acceleration are independent of the height.