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.

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Chapter1: Units, Trigonometry. And Vectors
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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.
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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