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Given below are two statements :
Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.
Statement II : The rms speed of oxygen molecules in a gas is v. If the absolute temperature of gas is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become 2v.
In the light of the above statements, choose the correct answer from the options given below

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Both Statement I and Statement II are true

Statement I is false but Statement II is true

Statement I is true but Statement II is false

Both Statement I and Statement II are false

answer is B.

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Detailed Solution

Average momentum $= ⟨ \vec{P} ⟩ = 0$
$v_{r m s} = \sqrt{\frac{3 R T}{M}}$
If temperature is doubled and oxygen atoms are used then

${v^{'}}_{r m s} = \sqrt{\frac{3 R (2 T)}{M / 2}} = 4 v_{r m s}$

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