(i) Use the fact that g2=GME/(RE+h)2 at the top of Mount Everest where h is its height, can you explain using some connection between microscopic molecule density and macroscopic air pressure- why we can't boil an egg up there.
(ii) Is there any connection between what was discussed in (i) and buoyancy in air and in water (or in fluid in general)? Explain as best as you can.