what is root mean square velocity, How is related to avarage velocity?
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Explanation:
Root mean square velocity (RMS value)is the square root of the mean of squares of the velocity of individual gas molecules.
v
r
m
s
=
√
3
R
T
M
Where
vrms= Root-mean-square velocity
M = Molar mass of the gas (Kg/mole)
R= Molar gas constant
T = Temperature in Kelvin.
Average velocity is the arithmetic mean of the velocities of different molecules of a gas at a given temperature.
v
a
v
=
√
8
R
T
π
M
Where
R = Gas constant
T = Temperature (in K)
M = Molar mass of the gas
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