At what temperature is the root mean squ...

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

A

20 K

B

80 K

C

`-73 K`

D

3 K

Text Solution

Verified by Experts

The correct Answer is:

A

`v_(rms)=sqrt((3RT)/(M))rArrT prop M" "(therefore v_(rms)Rto "constant")`
`rArr (T_(H_2))/(T_(o_2))=(M_(H_2))/(M_(o_2))rArr(T_(H_(2)))/((273+47))=2/(32) rArrT_(H_(2))=20K`

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