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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A: Given: molecule: oxygen Temperature T =4 C =4+273 = 277 K

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Boltzmann statistics of Ideal gas

In statistical mechanics and thermodynamics, Maxwell - Boltzmann statistics explains the statistical distribution of the energies of the classic gas molecules over different states in thermal equilibrium. Maxwell Boltzmann statistics helps us to derive the Maxwell - Boltzmann distribution of ideal gas molecules, which is the result of the kinetic theory of gases.