Question

At some temperature, the rms velocity of $H_2$ is $2\times {10}^{3}m/s$. what will be the rms velocity of $O_2$ molecules at the same temperature:

• A. ${10}^{3}m/s$
• B. $500m/s$
• C. $0.5\times {10}^{4}m/s$
• D. $3\times {10}^{3}m/s$

Answer 1

The correct option is A ${10}^{3}m/s$

$V_{RMS}=\sqrt{\frac{3RT}{\mu \omega }}$

$\frac{V_1}{V_2}=\sqrt{\frac{T_1{\mu }_2}{{\mu }_1{T}_2}}={10}^{3}m/s$