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If the rms speed of hydrogen molecules a...

If the rms speed of hydrogen molecules at 300K is` 1930ms^(-1)`. Then what is the rms speed of oxygen molecules at 1200K.

Text Solution

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From RMS speed , `nu_(rms)=sqrt((3RT)/M)`
`nu_(O_(2))=sqrt((3RT_(O_(2)))/M_(O_(2))),nu_(H_(2))=sqrt((3RT_(H_(2)))/M_(H_(2)))`
`nu_(O_(2))/nu_(H_(2))=sqrt(T_(O_(2))/T_(H_(2)).M_(H_(2))/M_(o_(2)))`
`nu_(O_(2))=sqrt((1200/300xx2/32))xx1930=1930/2`
`nu_(O_(2))=965ms^(-5)`
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