At what temperature will be the oxygen molecules have the same root mean square root mean square speed as hydrogen molecules at 300 K ?

Options

A. 1600 K
B. 2400 K
C. 3200 K
D. 4800 K

Answer

D

Explanation

Root mean square speed `V(rms)=sqrt((3RT)/(M))rArrTpropM`
`(thereforev_("rms"),Rrarr"constant")`
`or" " (T_(O_(2)))/(T_(H_(2)))=(M_(O_(2)))/(M_(O_(2)))`
`rArr " " (T_(O_(2)))/(300)=(32)/(2)`
`rArr "temperature"" "T_(O_(2))=4800K`