The mean free path is the average distance traveled by a particle between collisions with other particles. Calculate the mean free path 𝜆 of air at room temperature, 𝑇=67.0 ∘F. Air is

Question

The mean free path is the average distance traveled by a particle between collisions with other particles. Calculate the mean free path 𝜆 of air at room temperature, 𝑇=67.0 ∘F. Air is mostly nitrogen, so assume that the collisions are between moving N2 molecules. The diameter of N2N2 is 𝑑=1.58×10−10 m and the gas is at atmospheric pressure, 𝑃=101325 Pa.

Answer 1

Use formula

Mean free path = kT/√2 ∏d²P

Where k= Boltzmann Constant d= Diameter of molecule T = temperature in Kelvin P =pressure

Use T = 292.6 K , k = 1.38*10^-23 m² kgS^-2K^-1

plug in values to get mean free path in m