The distribution of gas molecules in the atmosphere can be approximated easily based on the Boltzmann equation. (a) Based on the mass of an oxygen molecule (O2), and approximating its potential energy in the Earth's gravitation field by mgh (g=9.8 kg m sec‐2), at what height do you expect the concentration of oxygen (which is proportional to the probability of finding the molecule at the given potential energy) to drop to 50% of the value at sea level? [N. B. the height of Mount Everest is about 8850 m]. Assume T=273 K.