The velocities of gas particles can be modeled by the Maxwell distribution, whose

Chapter 4, Problem 4.192

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The velocities of gas particles can be modeled by the Maxwell distribution, whose probability density function is given by f (v) = 4 m 2K T 3/2 v2 ev2(m/[2K T ]) , v > 0, where m is the mass of the particle, K is Boltzmanns constant, and T is the absolute temperature. a Find the mean velocity of these particles. b The kinetic energy of a particle is given by (1/2)mV2. Find the mean kinetic energy for a particle.

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