The probability density of the velocity, V, of a gas molecule, according to the Maxwell-Boltzmann law, is

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The probability density of the velocity, V, of a gas molecule, according to the Maxwell-Boltzmann law, is given by
Scre-. f(v. B) = v>0 elsewhere, 0.

where c is an appropriate constant and β depends on the mass of the molecule and the absolute temperature. Find the density function of the kinetic energy E, which is given by E = g(V) = 1 2mV2.

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Mathematical Statistics With Applications In R

ISBN: 9780124171138

2nd Edition

Authors: Chris P. Tsokos, K.M. Ramachandran

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