Answered: You measure the average free path λ and…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 36PQ

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Question

You measure the average free path λ and the average collision time τ of the molecules of a diatomic gas of molecular mass 6.00 × 10-²⁵ kg and radius r = 1.0 x 10-¹⁰ m. From these microscopic data can we obtain macroscopic properties such as temperature T and pressure P? If so, consider λ = 4.32 x 10-⁸ m and τ = 3.00 x 10-¹⁰ s and calculate T and P.

indicate the correct answer:

1- Not possible
2- Yes, T =150 K and P ~ 2.04 atm.
3- Yes, T = 150 K and P ~ 4.08 atm.
4- Yes, T = 300 K and P ~ 4.08 atm.
5- Yes, T = 300 K and P ~ 5.32 atm
6- Yes, T = 400 K and P ~ 4.08 atm.
7- Yes, T = 400 K and P ~ 5.32 atm.

obs.:

If necessary, consider:

R = 8.314 J/mol∙K
1 cal = 4.19 J
kb =1,38 x 10⁻²³ m² kg s⁻² K⁻¹

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