Consider a one-dimensional gas consisting of N = 5 particles each of which has the same speed v, but can move in one of two directions with equal probability. The velocity of each particle is independent. What is the probability that all particles are moving in the same direction?

Consider a one-dimensional gas consisting of N = 5 particles each of which has the same speed v, but can move in one of two directions with equal probability. The velocity of each particle is independent. What is the probability that all particles are moving in the same direction?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter22: Entropy And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 55PQ

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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.

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