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Answer: Calculate the mean free path of air molecules at a
Chapter 18, Problem 38E(choose chapter or problem)
Calculate the mean free path of air molecules at a pressure of \(3.50 \times 10^{-13}\) and a temperature of 300 K. (This pressure is readily attainable in the laboratory; see Exercise 18.24.) As in Example 18.8, model the air molecules as spheres of radius \(2.0 \times 10^{-10}\) m.
Equation Transcription:
Text Transcription:
3.50x10^-13
2.0x10^-10
Questions & Answers
QUESTION:
Calculate the mean free path of air molecules at a pressure of \(3.50 \times 10^{-13}\) and a temperature of 300 K. (This pressure is readily attainable in the laboratory; see Exercise 18.24.) As in Example 18.8, model the air molecules as spheres of radius \(2.0 \times 10^{-10}\) m.
Equation Transcription:
Text Transcription:
3.50x10^-13
2.0x10^-10
ANSWER:
Solution 38E
The expression for mean free path is given by,
…..(1), where k is Boltzmann’s constant, T is the temperature in absolute scale, r is the radius of air molecule and P is the pressure.
Given,
(since