Explain root mean square speed (C or U_(rms))

1.	Explain root mean square speed (C or U_(rms))
Answer» Solution :It is square root of the arithmatic mean of the squares of SPEEDS of various MOLECULES of the gas at a GIVEN temperature. If `v_(1), v_(2), v_(3),...` are speeds of `n_(1), n_(2), n_(3)`.... Molecules respectively c or `u_(RMS)= sqrt((n_(1)v_(1)^(2)+n_(2)n_(2)^(2)+....)/((n_(1)+n_(2)+....0)))` RMs speed is related to T,P, V and M `:. c or u_(rms)= sqrt((3RT)/(M)) or sqrt((3PV)/(M)`

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