Stand on a mountaintop and look at another mountain 10 kilometres away. It doesn’t seem very far, and on a clear day it can seem startlingly close. But when you look at that other summit, you are looking through more air than if you look up at a star in space above your head.
But don’t books tell us that the Earth’s atmosphere is 30km thick, 100km thick, or even thicker?
Actually, it’s a matter of opinion where the atmosphere stops and space starts the air just gets gradually thinner with altitude. It’s more revealing to ask how much air is there between us and space?
To do this, let’s ask how thick the atmosphere would be if it contained the same amount of air, but instead of fading away gradually, was at sea-level density all the way up to a point where it stopped and the near-vacuum of space started.
Air pressure at sea level is about 105 newtons per square metre. That is, if we take a column of air whose cross-section is 1 square metre, going right up into space, the air in that column will weigh 105 newtons.
Now weight is given by mass multiplied by g, the acceleration due to gravity. At sea level, g is 9.81 metres per second squared, declining only slightly through the thickness of the atmosphere. This means that the mass of the air column is about 10,500 kilograms.
The density of air at sea level is about 1.2 kilograms per cubic metre, so 10,500 kilograms of air at this density would occupy 10,500/1.2 = 8500 cubic metres, roughly. So if our column of air were all at sea-level density, it and therefore the atmosphere - would be only about 8 or 9 kilometres high.
That’s walking distance. This is all the air that is between us and space. This is all the air that has to take the carbon dioxide and other pollutants that we merrily churn out.
Not much, is it?