Chemistry - Ideal Gas Question with Solution | TestHub

$\frac{{\mathrm{u}}_1}{{\mathrm{u}}_2}=\sqrt{\frac{{\mathrm{n}}_1{\mathrm{T}}_1}{{\mathrm{n}}_2{\mathrm{T}}_2}}=\sqrt{\frac{\mathrm{n}\times \mathrm{T}}{2\mathrm{n}\times 2\mathrm{T}}}=\sqrt{\frac{1}{4}\mathrm{ }}=\frac{1}{2}$
$\therefore \mathrm{ }{\mathrm{u}}_2=2{\mathrm{u}}_1$
Therefore, If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes double.