meaning of root mean square velocity of gas molecules with its methematical expression
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The root-mean-square speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas. ... The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material.
R.M.S.
=
M
3RT
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.
μ av.= 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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