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

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

Step-by-step 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 = (m\cdot R_(u)\cdot T)/(M)`

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

`\rho = (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.