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At what temperature is the r.m.s velocit...

At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at `24^@C`?

A

`80K`

B

`-73K`

C

`3K`

D

`20K`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `v_(rms)=sqrt((8RT)/(piM))`
For `v_(rms) to be equal `(T_(H_2))/(M_(H_2))=(T_(O_2))/(M_(O_2))`
Here, `M_(H_2)=2, M_(O_2)=32,`
`T_(O_2)=47+273=320K`
`:. (T_(H_2))/2=320/32 rArr T_(H_2)=20K`
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