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The r.m.s speed of oxygen molecule (O(2)...

The r.m.s speed of oxygen molecule `(O_(2))` at a certain temperature T is V. If on increasing the temperature of the oxygen gas to 2T, the oxygen molecules dissociate into atomic oxygen, find the speed of the oxygen atom.

A

2V

B

V

C

`(V)/(2)`

D

`3V`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(rms)=sqrt((3KT)/(m))`
`V'_(rms)=sqrt((3K(2T))/(m//2))=sqrt((3KT)/(m))`
`V'_(rms)=2V_(rms)`
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