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:
[tex]P\cdot V = n\cdot R_{u}\cdot T[/tex] (1)
Where:
[tex]P[/tex] - Pressure.
[tex]V[/tex] - Volume.
[tex]n[/tex] - Molar quantity.
[tex]R_{u}[/tex] - Ideal gas constant.
[tex]T[/tex] - Temperature.
By definition of molar quantity, we expand (1) into this form:
[tex]P\cdot V = \frac{m\cdot R_{u}\cdot T}{M}[/tex]
And after some algebraic handling, we derive the following formula for the density of the gas:
[tex]\rho = \frac{P\cdot M}{R_{u}\cdot T}[/tex] (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.
