At what temperature hydrogen has the same RMS velocity as that of oxygen at room temperature?

Explanation

RMS velocity (C ) is given as ` C = sqrt((3RT)/(M))`
For two gases, RMS velocity is same.
`(T_(1))/(M_(1)) = (T_(2))/(M_(2))`
`T_(1) =` Temperature of oxygen = 298 K
`T_(2)` = Temperature of hydrogen = ?
Temperature of hydrogen gas ` = T_(2) = (T_(1))/(M_(1)) xx M_(2)`
` = (298 xx 2)/(32) = 18.6K = -254.4^(@)C`