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The rms speed of oxygen is v at a partic...

The rms speed of oxygen is v at a particular temperature. IF the temperature is doubled and oxygen molecules dissociate into oxygen atoms the rms speed becomes

A

v

B

`sqrt2v`

C

2v

D

4v

Text Solution

Verified by Experts

The correct Answer is:
C
The rms speed of oxygen molecule , `v=sqrt((2Rt)/M)`
When the molecules dissociate into oxygen atoms, molar mass will change from M to `M/2` (when the temperature changes from T to 2T).
Then, rms speed `=sqrt((3R.2T)/(M//2))=2sqrt((3RT)/M)=2v`
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Knowledge Check

  • The r.m.s speed of oxygen is v at a particular temperature. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the r.m.s speed becomes

    A
    `v`
    B
    `sqrt2v`
    C
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    D
    `4v`

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    Statement I is true,statement II is true, statement II is a correct explanation for statement I
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    Statement I si true,statement II is true, statement II is not a correct explanation for statement I.
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