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For a given gas at 1 atm pressure, rms s...

For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at `127^(@)C`. At 2 atm pressure and at `227^(@)C`, the rms speed of the molecules will be:

Text Solution

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`V_(rms)=sqrt((3RT)/M)`
`(v_(1))/(v_(2))=sqrt((T_(1))/(T_(2)))=sqrt(((273+127)/((273+227)))`
`=sqrt(400/500)=sqrt(4/5)=2/(sqrt(5))`
`:.v_(2)=(sqrt(5))/2v_(1)=(sqrt(5))/2xx200=100sqrt(5)m//s`
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