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Root-mean-square speed is the measure of the speed of particles in a gas that is most convenient for problem solving within the kinetic theory of gases. It is defined as the square root of the average velocity-squared of the molecules in a gas.


It means root sqaure velocity. here are some points.
All gas particles move with random speed and direction.By solving for the average velocity of the gas particles, you effectively get an average velocity of zero, assuming that all particles are moving equally in different directions.By taking the root of the square of the average velocities, you can acquire the average speed of gaseous particles.The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material
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It means the square root of the mean (average) of the square of the velocity. In other words: Take the quantity v² and average that over some time interval. (You can use various math techniques, usually involving calculus, to find that average).
Take the square root of the average that you found before.The result is the root-mean-square (rms) velocity
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