Question

Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 oC. Take the radius of a nitrogen molecule to be roughly 1.0 A. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N2? = 28.0 u)

Name: estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 20 atm and temperature 17 oc take the radius of a nitrogen molecule to be roughly 10 a 2
Uploaded: 2022-02-10T18:39:08-08:00
Duration: 2 min 25 s
Channel: Geeta Yadav
Description: estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 20 atm and temperature 17 oc take the radius of a nitrogen molecule to be roughly 10 a 2

          Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 oC. Take the radius of a nitrogen molecule to be roughly 1.0 A. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N2? = 28.0 u)

Added by Ashu G.

JEE Physics

StemEZ 1st Edition

Chapter 9

Instant Answer

Solved by Expert Geeta Yadav

02/10/2022

Step 1

Given: Pressure (P) = 2.0 atm Temperature (T) = 17°C = 17 + 273 = 290 K Radius of nitrogen molecule (r) = 1.0 Å = 1.0 x 10^-10 m Molecular mass of N2 (m) = 28.0 u = 28.0 g/mol The mean free path (λ) can be calculated using the formula: λ = (k * T) / (√2 * π * d^2 Show more…

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Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 oC. Take the radius of a nitrogen molecule to be roughly 1.0 A. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of N2? = 28.0 u)