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What is the Root mean square velocity and average velocity?

What is the Root mean square velocity and average velocity?

Grade:12th pass

2 Answers

Vikas TU
14149 Points
9 months ago
Dear student 
Root mean square velocity (RMS value)is the square root of the mean of squares of the velocity of individual gas molecules. T = Temperature in Kelvin. Average velocity is the arithmetic mean of the velocities of different molecules of a gas at a given temperature.
Vikas Amritiya
askIITians Faculty 158 Points
9 months ago

 

  • Root mean square velocity  The square root of the mean of squares of the velocity of individual gas molecules.
μR.M.S.=M3RT
Whereas,
R is the gas constant.
T is the temperature (in K).
M is the molar mass of the gas.
  • Average velocity  The arithmetic mean of the velocities of different molecules of a gas at a given temperature.
μav.=πM8RT
Whereas,
R is the gas constant.
T is the temperature (in K).
M is the molar mass of the gas.

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