Assume that the atmosphere has a temperature (T = 235 K) that is independent of altitude. The pressure of the atmosphere is the sum of the partial pressures of the gases present (N₂, O₂, etc.). The partial pressure of each type of gas varies with altitude, h, according to the condition of constant chemical potential.

Define h_1/2(N₂) as the altitude at which the partial pressure of nitrogen (28 g/mole) falls to 1/2 of its value at sea level. Define h_1/2(H₂) as the altitude at which the partial pressure of hydrogen (2 g/mole) falls to 1/2 of its value at sea level.

What is the difference between h_1/2(H₂) and h_1/2(N₂)?

h_1/2(H₂) - h_1/2(N₂) = m