At what temperature will the oxygen molecules have the same root mean square speed as hydrogen molecules at 100 K?

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Answer

Text Solution

1600 K2400 K3200 K 4800 K

Answer : D

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