While you may be able to observe the difference of the mass of the gas of the bubbles, wouldn´t the volume be the same because it is about how your lungs(Constant volume) will hold at a given depth/pressure, and I am not sure how reliable it would be to measure it. I am looking for an algorithm...
So if you were scuba diving and your depth gauge broke, could you create a system where you exhale some air and record the time it took to reach the surface. If so, what would they equation look like?
How can you calculate centripetal acceleration in a non circular system(I.E. if wanted to calculate the centripetal acceleration in an eclipse, or a parabola how could I do that?)