Q. 11

The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become
A. v

B. v√2

C. 2v

D. 4v.

Answer :

Root mean square velocity of gas is given as


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

T=temperature of gas.

M= molar mass of molecule of gas


Root mean square of oxygen


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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