Question

The ratio of root mean square velocities of $O_3$ and $O_2$ is

• A. 1 : 1
• B. 2 : 3
• C. 3 : 2
• D. $\sqrt{2}:\sqrt{3}$

Answer 1

Answer: (D)

$v_{rms}=\sqrt{\frac{3RT}{M}}$
$\frac{(v_{rms})O_3}{(v_{rms})O_2}=\sqrt{\frac{M_{O_2}}{M_{O_3}}}=\sqrt{\left(\frac{32}{48}\right)}$
= $\sqrt{2}:\sqrt{3}$