From the earliest days of sports announcing, on muggy nights baseball announcers have remarked about how baseballs do not travel as far due to the heavy, humid air.
On these humid Kona days, the air does feel heavy, like walking underwater, or hard to breathe with heavy lungs.
As intuitive as that might sound, the muggy air fools our senses. The fact is that humid air is lighter than dry air.
The reason is simple. It derives from a fundamental law of physics: Avogadro’s law. Avogadro’s law states that equal volumes of gas contain the same number of molecules at the same temperature and pressure.
There is an easy analogy for the way in which Avogadro’s law explains the lightness of humid air. Picture two identical jars of equal shape, each with
10 lead weights inside. They weigh the same and
contain the same number of objects.
Now remove two of the lead weights from one jar and replace them with two plastic beads. The jar with the beads weighs less, but it still contains 10 items.
The situation is the same for air but involves molecules instead of weights and beads.
Water vapor is the third most abundant gas in the atmosphere, except when it is not. Water is not usually on the list as a component of atmospheric gas along with nitrogen and oxygen because it varies from 0% to 4% by weight.
Water vapor comprises up to 4% of the atmosphere in a sultry equatorial rainforest and ocean. Otherwise, it is typically in the 2%-to-3% range.
Water vapor is lighter than air. Nitrogen and oxygen, which comprise a little more than 99% of air, are both diatomic gases. That means they exist as molecules composed of two atoms.
Each nitrogen atom weighs 14 units, so a nitrogen molecule of two atoms weighs 28 units. Each oxygen atom weighs 16 units, so an oxygen molecule of two atoms weighs 32 units.
Water molecules consist of one oxygen atom of 16 units and two hydrogen atoms of one unit each for a total weight of 18 units. Each water molecule weighs only 64% as much as a nitrogen molecule and 56% as much as an oxygen molecule.
Imagine for illustrative purposes a bubble of dry air at 1 atmosphere of pressure and 75 degrees. To further simplify, let us say this sphere contains exactly 1,000 molecules. This represents a minuscule volume because molecules are very, very small.
Adding water molecules to the bubble would force some of the nitrogen and some of the oxygen out of the volume since it must still contain 1,000 molecules. With the lighter water molecules displacing the heavier nitrogen and oxygen molecules, the bubble overall must weigh less than when it was filled with only nitrogen and oxygen.
The humid air seems heavier because each breath draws in fewer oxygen molecules, as if at a higher
elevation.
As for the baseball, it is not the air that is heavier;
it is the baseball. It has absorbed some water from the atmosphere. It is also less rigid because the damp leather is softer and less resilient.
Richard Brill is a retired professor of science at Honolulu Community College. His column runs on the first and third Fridays of the month. Email questions and comments to brill@hawaii.edu.