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The ratio between the root mean square v...

The ratio between the root mean square velocity of `H_(2)` at 50 K and that of `O_(2)` at 800 K is:

A

`4`

B

`2`

C

`1`

D

`1//4`

Text Solution

Verified by Experts

`v_(rms)=sqrt((3RT)/(M))`
For `H_(2)` at `50 K`,
`v_(1)=sqrt((3Rxx50)/(2))`
For `O_(2)` at `800 K`,
`v_(2)=sqrt((3Rxx800)/(32))`
`:. (v_(1))/(v_(2))=(sqrt((3Rxx50)/(2)))/(sqrt((3Rxx800)/(32)))=1`
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