1. Tardigrade
  2. Question
  3. Chemistry
  4. The rms speed of N2 molecules in a gas is u. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The $rms$ speed of $N_{2}$ molecules in a gas is $u$. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the $rms$ speed becomes

States of Matter

Solution:

$\frac{u_{1}}{u_{2}}=\sqrt{\frac{n_{1}T_{1}}{n_{2}T_{2}}}$
$=\sqrt{\frac{n\times T}{2n\times2T}}$
$=\sqrt{\frac{1}{4}}=\frac{1}{2}$
$u_{2}=2u_{1}=2u$