M-6 Please help me with this problem very clearly with step by step explanation. 6. The speed of a molecule of gas at equilibrium is a random variable V with pdff(v) = av²e-bv².v > 0,where a is a constant and b = , with m being the mass of the molecule, T the temperature ofthe gas, and k Boltzmann's constant. Find the distribution of W = my², the kinetic energy of themolecule. Also find the expected value of the kinetic energy.

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Answered: f(v) = av²e-bu*, v>0, where a is a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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f(v) = av²e-bu*, v>0, where a is a constant and b = , with m being the mass of the molecule, T the temperature of the gas, and k Boltzmann's constant. Find the distribution of W = mv² , the kinetic energy of the molecule. Also find the expected value of the kinetic energy. SS