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Question

The rms speed of oxygen molecules in a container is V. If the temperature is doubled and oxygen molecules dissociate into oxygen atoms, the rms speed will become :

A
V
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B
2V
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C
2V
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D
4V
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Solution

The correct option is C 2V
Suppose, mass of each atom of oxygen is m
then, molar mass of oxygen gas will be 2m.
We know that, Vrms=3RTMInitially, V=3RT2m..(1)
After temperature is doubled and oxygen molecules dissociate,
Vrms=3R×2Tm...(2)
On dividing equation (2) by equation (1),
VrmsV=    6RTm3RT2mVrms=2V

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