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At what temperature is the rms velocity ...

At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at `47^(@)C`?

A

`-73K`

B

`3K`

C

`20K`

D

`80K`

Text Solution

Verified by Experts

The correct Answer is:
C
`v_(1)=sqrt((3RT_(1))/(M_(1)))`, `v_(2)=sqrt((3RT_(2))/(M_(2)))` i.e. `T_(1)=(M_(1))/(M_(2))T_(2)=(2)/(32)xx320=20K`
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Knowledge Check

  • At what temperature is the r.m.s velocity of a hydrogen molecule equal to that of an oxygen molecule at 24^@C ?

    A
    `80K`
    B
    `-73K`
    C
    `3K`
    D
    `20K`

  • At which temperature the r.m.s.velocity of a hydrogen molecule equal to that of an oxygen molecule at 47^@C ?

    A
    4 K
    B
    20 K
    C
    80 K
    D
    `-73K`

  • The temperature at which the rms velocity of oxygen molecules equals to that of nitrogen molecules at 0^(@)C is

    A
    `312^(@)C`
    B
    `292^(@)C`
    C
    `195^(@)C`
    D
    `39^(@)C`

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