According to the Maxwell-Boltzmann law of theoretical physics, the pdf of V, the velocity of a gas molecule is given by Jkv? e-av? f,(v) = v > 0 elsewhere where a is a constant depending on its mass and the absolute temperature and k is 1 an appropriate constant. Show that the kinetic energy Y = - mv? is a random 2 variable having Gamma distribution.

According to the Maxwell-Boltzmann law of theoretical physics, the pdf of V, the velocity of a gas molecule is given by Jkv? e-av? f,(v) = v > 0 elsewhere where a is a constant depending on its mass and the absolute temperature and k is 1 an appropriate constant. Show that the kinetic energy Y = - mv? is a random 2 variable having Gamma distribution.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 44E

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