Answer :

Root mean square velocity of gas is given as


vrms


where R=gas constant whose value is 8.31 J/mol K.


T=temperature of gas.


M= molar mass of molecule of gas


Given,


Root mean square of oxygen


vrms


Molar mass of oxygen molecule M=32. So,



When temperature is doubled, oxygen molecule dissociates into oxygen atom.


Molar mass of oxygen atom M’=16


New temperature T’=2T


Then rms speed of oxygen atom becomes



Multiplying and diving above equation by 2 we get,




New rms speed of oxygen will ve 2v.

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