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At what temperature will the R.M.S. velo...

At what temperature will the R.M.S. velocity of a gas be double its value at N.T.P.?

A

`273^(@)C`

B

`546^(@)C`

C

`819^(@)C`

D

`1092^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(2)=2C_(1)`
`(C_(2))/(C_(1))=sqrt((T_(2))/(T_(1)))`
`(2C_(1))/(C_(1))=sqrt((T_(2))/(T_(1)))`
`4=(T_(2))/(T_(1))`
`T_(2)=4xx273=1092K`
`T_(2)=1092-273`
`=819C`.
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