Question

At 27${}^{\circ }C$, the ratio of $rms$ velocities of ozone to oxygen is :

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

Answer 1

Answer: (C)

$\sqrt{2/3}$

As we know,

$U_{rms}$ = $\sqrt{\frac{3RT}{M_w}}$

Since all other values are constants.

$\frac{\left(U_{r}ms\right)O_3}{U_{r}ms)O_2}$ = $\sqrt{\frac{32}{48}}$

$\Rightarrow$ $\sqrt{\frac{2}{3}}$

So, the correct option is $C$