How does the density of gas particles inside your tires compare with the density of gas particles in the air outside your tires

The density of gas particles inside tires is higher than the density of the gas particles outside.

Explanation:

Let suppose that both gas inside and outside tires behave ideally. The equation of state for ideal gases is presented below:

(1)

Where:

- Pressure.

- Volume.

- Molar quantity.

- Ideal gas constant.

- Temperature.

By definition of molar quantity, we expand (1) into this form:

And after some algebraic handling, we derive the following formula for the density of the gas:

(2)

The gas inside tires has a pressure higher than the pressure outside, but the same temperature usually. Therefore, the density of gas particles inside tires is higher than the density of the gas particles outside.