It is known that the number of particles of an ideal gas that has a velocity between v and v + dv can be expressed in dN = 4n N m mv? e 2kT v?dv 2nkT Where N is the total number of particles. Find the expected value of v" using the function Gamma. (v") vndN %3D
It is known that the number of particles of an ideal gas that has a velocity between v and v + dv can be expressed in dN = 4n N m mv? e 2kT v?dv 2nkT Where N is the total number of particles. Find the expected value of v" using the function Gamma. (v") vndN %3D
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Please solve the problem in the picture, thanks in advance :)

Transcribed Image Text:It is known that the number of particles
of an ideal gas that has a velocity
between v and v + dv can be expressed
in
3
dN
= 47
2nkT
my2
e
2KT v²dv
N
Where N is the total number of
particles. Find the expected value of v"
using the function
Gamma.
%3D
vndN
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