Question

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

Answer 1

Answer:

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:

$P\cdot V = n\cdot R_{u}\cdot T$ (1)

Where:

$P$ - Pressure.

$V$ - Volume.

$n$ - Molar quantity.

$R_{u}$ - Ideal gas constant.

$T$ - Temperature.

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

$P\cdot V = \frac{m\cdot R_{u}\cdot T}{M}$

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

$\rho = \frac{P\cdot M}{R_{u}\cdot T}$ (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.