An Introduction to Modern Astrophysics · Problem 9.6

The Interiors of Stars — Carroll & Ostlie

Physics — Astrophysics · mean-free-path-nitrogen

Problem

Using the root-mean-square speed, vrmsv_{\rm rms}, estimate the mean free path of the nitrogen molecules in your classroom at room temperature (300 K). What is the average time between collisions? Take the radius of a nitrogen molecule to be 0.1 nm and the density of air to be 1.2 kg m−3^{-3}. A nitrogen molecule contains 28 nucleons (protons and neutrons).

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