Question

If average velocity of a sample of gas molecules at $300K$ is $5cm{s}^{-1}$, what is rms velocity of the same sample of gas molecules at the same temperature? (Given, $\overline{v}:u:v=1:1.224:1.127)$

• A. $6.112cm/s$
• B. $4.605cm/s$
• C. $4.085cm/s$
• D. $5.430cm/s$

Answer 1

The correct option is A $6.112cm/s$

$\stackrel{-}{v}:u=1:1.224\frac{v_{avg}}{v_{rms}}=\frac{1}{1.224}{v}_{rms}=5\times 1.224=6.112cm/s$