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At what temperature will the rms speed o...

At what temperature will the rms speed of air molecules be double that of NTP?

A

`519^(@)C`

B

`619^(@)C`

C

`719^(@)C`

D

`819^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
As `v_(rms)=sqrt((3RT)/(M)),"At "T=T_(0),v_(rms)=sqrt((3RT_(0))/(M))`
But at temperature T, `v_(rms)=2xxsqrt((3RT_(0))/(M))`
`implies sqrt((3RT)/(M))=2sqrt((3RT_(0))/(M))impliesT=4T_(0)`
`T=4xx273K=1092KthereforeT=819^(@)C`
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