At what temperature will the RMS velocity of `SO_(2)` be the same as that of `O_(2)` at 303 K?

Options

A. 606K
B. 273K
C. 403K
D. 303K

Answer

A

Explanation

RMS velocity, `mu = sqrt(3RT//M)`
Temperature at which root mean square of `SO_(2)` be the same as that of `O_(2)` at 303K.
`sqrt((3RT)/(M))_(O_(2)) = sqrt((3RT)/(M_(2)))_(SO_(2)) or sqrt((303)/(32)) = sqrt((T)/(64))`
`rArr T= (303 xx 64)/(32) = 606K`