Question

The root mean square (rms) speed of oxygen molecules $\left(O_2\right)$ at a certain temperature $T$ (degree absolute) is $V$. If the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed remains unchanged.

• A. True
• B. False

Answer 1

The correct option is B False

$v_{rms}=\sqrt{\frac{3RT}{M}}$

$v_{rms}\propto \sqrt{\frac{T}{M}}...\left(i\right)$

When oxygen gas dissociates into atomic oxygen, its atomic mass $M$ will become half. Temperature is doubled.

So, from Eq. (i) $v_{rms}$ will become two times.