MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
According to the Maxwell-Boltzmann law of theoretical physics, the pdf of V, the velocity of a gas molecule is given by kv² e-av² v > 0 f,(0) = elsewhere where a is a constant depending on its mass and the absolute temperature and k is an appropriate constant. Show that the kinetic energy Y = mV² is a random variable having Gamma distribution.
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Transcribed Image Text:According to the Maxwell-Boltzmann law of theoretical physics, the pdf of V, the velocity of a gas molecule is given by kv² e-av² v > 0 f,(0) = elsewhere where a is a constant depending on its mass and the absolute temperature and k is an appropriate constant. Show that the kinetic energy Y = mV² is a random variable having Gamma distribution.
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