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.