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The density of air is related to the refractive index of the medium. The refractive index is the ratio of the speed of light in a vacuum to the speed of light in a given medium. It is well-known that the speed of light in air increases with temperature, i.e., the refractive index of air decreases with increasing temperature.
- When air is heated, it expands and becomes less dense than the surrounding cool air.
- The molecules of hot air move faster and farther apart, which reduces the density of the hot air.
- The hot air, being less dense, rises above the cooler air, which creates convection currents.
- These convection currents are responsible for the movement of heat from the earth's surface to the upper atmosphere, where it can be radiated away into space.
- The refractive index of the hot air is lower than that of the cold air, so the hot air rises above the cold air, which is why hot air balloons rise.
In summary, hot air is lighter than cold air due to its lower density, which is caused by the faster movement and further apart of the molecules of hot air. This leads to a lower refractive index of hot air than that of cold air, which causes the hot air to rise above the cold air.

Hot Air is Lighter than Cold Air
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