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:
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The root mean square speed of a gas is given by
M
3RT
where T is the temperature of gas
M is the molecular weight of gas.
When oxygen molecules dissociate into oxygen atoms, the molecular weight of gas halves.
Hence T
′
=2T,M
′
=M/2
Hence
v
v
′
=
T/M
T
′
/M
′
=
1
4
=2
⟹v
′
=2v...
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