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Answer: The root mean square velocity is the square root of the mean square of the velocity of individual particles or molecules, while Average velocity is the arithmetic mean of the velocity of individual particles or molecules.
The Root mean square velocity is the average speed of an object on a given axis. The average velocity is the total distance travelled divided by the total time spent travelling that distance.
The Root mean square velocity and average velocity are two different quantities which describe how fast something travels in one dimension. The root mean square or RMS for short is an analytic term used to quantify how fast something travels in one direction, and it can be found by taking the square root of the sum of squares of speeds along that one axis.
The RMS velocity is the average speed of an object or particle in any given direction. The average velocity is the total distance travelled divided by the total time spent travelling that distance.
The formula of Root mean square velocity:
Vrms =(3RT/M)1/2
Where R = Universal Gas constant, T = Absolute temperature, M = Molar mass
The formula for average velocity:
Vav = (8RT/πM)1/2
Where R = Universal Gas constant, T = Absolute temperature, M = Molar mass
