Question

At ${27}^{o}C$ the ratio of RMS velocities of ozone to oxygen is :

• A. $\sqrt{\frac{5}{5}}$
• B. $\sqrt{\frac{4}{3}}$
• C. $\sqrt{\frac{2}{3}}$
• D. 0.25

Answer 1

The correct option is C $\sqrt{\frac{2}{3}}$

The RMS velocity is given as follows:

$\frac{V_{O_3,rms}}{V_{O_2,rms}}=\sqrt{\frac{M_{O_2}}{M_{O_3}}}$

$=\sqrt{\frac{32}{48}}=\sqrt{\frac{2}{3}}$

Hence, the correct option is $\text{C}$