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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.

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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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Knowledge Check

  • If the rms speed of the molecules of a gas is 1000ms^(-1) the averge speed of the molecules is

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    `1000ms^(-1)`
    B
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  • The rms speed of gas molecules =________.

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    `1.73sqrt((RT)/(m))`
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    `sqrt((3KT)/(m))`

  • If the rms speed of the molecules of a gas is 1000 ms' the average speed of the molecule is

    A
    `1000 ms^(-1)`
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    `922 ms^(-1)`
    C
    `780 ms^(-1)`
    D
    `849 ms^(-1)`

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