1. Tardigrade
  2. Question
  3. Physics
  4. The rms velocity of a gas at a certain temperature is √2 times than that of the oxygen molecules at that temperature. The gas can be

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The rms velocity of a gas at a certain temperature is $\sqrt{2}$ times than that of the oxygen molecules at that temperature. The gas can be

Kinetic Theory

Solution:

$v_{ rms } \propto \frac{1}{\sqrt{M_W}}$
$\Rightarrow \frac{v_1}{v_2}=\sqrt{\frac{M_{W_2}}{M_{W_1}}}$
$\Rightarrow \frac{v}{\sqrt{2} v}=\sqrt{\frac{M_{W_2}}{32}}$
$\Rightarrow M_{W_2}=16\left( CH _4\right)$