2. Using the following form of the Maxwell-Boltzmann distribution function for speed, 3/2 v² exp m f(v) = 4x 2rkT 2kT show that (i) the root mean square velocity, Vrms is, 3kT Vrms m and (ii) the average velocity, Vavg is, 8KT =
2. Using the following form of the Maxwell-Boltzmann distribution function for speed, 3/2 v² exp m f(v) = 4x 2rkT 2kT show that (i) the root mean square velocity, Vrms is, 3kT Vrms m and (ii) the average velocity, Vavg is, 8KT =
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32
mu?
m
f(v) = 4m
exp
2rkT.
2kT
show that
(i) the root mean square velocity, Vrms is,
3kT
Vrms =
%3D
m
and
(ii) the average velocity, vavy is,
8KT
="
Transcribed Image Text:2. Using the following form of the Maxwell-Boltzmann distribution function for speed,
32
mu?
m
f(v) = 4m
exp
2rkT.
2kT
show that
(i) the root mean square velocity, Vrms is,
3kT
Vrms =
%3D
m
and
(ii) the average velocity, vavy is,
8KT
=
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