The rms speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is :
Answer & explanation
Correct answer: option 3
vrms = \(\sqrt{\frac{3RT}{M}}\)
According to question : T will become 2T and M will become M/2. So, the value of vrms will increase by \(\sqrt{4}\) = 2 times
i.e. new rms velocity will be 2v.