At what temperature is rms velocity of hydrogen molecule equal to that of an oxygen molecule at `47^@C`

Explanation

`v_(rms)=sqrt((3RT)/(M))`
Now, `{:("rms velocity of "),(H_2"molecule"):}}={:{("rms velocity of "),(O_2"molecule"):}`
(or) `sqrt((3RxxT)/(2))=sqrt((3Rxx(47+273))/32)`
(or) Temperature `T = (2xx320)/32=20K`