a) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10-26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2×10-10 m, compute the collision frequency v in Hertz and the time between collisionst in seconds.
a) Calculate the mean free path in meters of a nitrogen molecule (with a mass m=4.68×10-26 kg) located in Earth's atmosphere at sea level. Assume a temperature of T=300 K and a number density of particles of 1019 cm-3. b) Assuming that the collision cross-section of the molecule is o = 2×10-10 m, compute the collision frequency v in Hertz and the time between collisionst in seconds.
College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Problem Statement:**
a) Calculate the mean free path in meters of a nitrogen molecule (with a mass \( m = 4.68 \times 10^{-26} \) kg) located in Earth's atmosphere at sea level. Assume a temperature of \( T = 300 \) K and a number density of particles of \( 10^{19} \, \text{cm}^{-3} \).
b) Assuming that the collision cross-section of the molecule is \( \sigma = 2 \times 10^{-10} \) m, compute the collision frequency \( \nu \) in Hertz and the time between collisions \( t \) in seconds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f1c45cd-3789-4350-80b0-241735c3cbf9%2Fcaf00140-d7d8-4a2b-b19b-f9044a226a24%2Fs8ynkjh_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
a) Calculate the mean free path in meters of a nitrogen molecule (with a mass \( m = 4.68 \times 10^{-26} \) kg) located in Earth's atmosphere at sea level. Assume a temperature of \( T = 300 \) K and a number density of particles of \( 10^{19} \, \text{cm}^{-3} \).
b) Assuming that the collision cross-section of the molecule is \( \sigma = 2 \times 10^{-10} \) m, compute the collision frequency \( \nu \) in Hertz and the time between collisions \( t \) in seconds.
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