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The rms velocity of the molecules in a s...

The rms velocity of the molecules in a sample of helium is 5//7 times that of molecules in a sample of hydrogen . If the tempertaure of hydrogen is `0^(@)C` . Then, what is the temperature of helium?

Text Solution

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From RMS speed , `sqrt((3RT_(H_(e)))/M_(H_(e)))=5/7(sqrt((3RT_(H_(2)))/M_(H_(2))))`
`therefore T_(H_(e))=25/49(M_(H_(e))/M_(H))T_(H_(2))=25/49xx4/2xx273=273K`
`T_(H_(e))=0^(@)C`
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