Question

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

• A. 1:01
• B. 2:03
• C. 3:02
• D. $\sqrt 2 : \sqrt 3$

Answer 1

Answer: (D)

$\sqrt 2 : \sqrt 3$

Answer 2

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