At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at `47^(@)C`?

Explanation

Let `T` be the desired temperature.
As rms speed of `H_(2)` mol = rms speed of oxygen mol
`:. Sqrt((3RT_(H))/(M_H)) = sqrt((3RT_("oxy"))/(M_("oxy")))`
or, `(T_H)/(2) = (273 + 47)/(32) , T_(H) = (320)/(16) = 20 K`.