Question

Which of the following relation correct? ( $v_{rms}$ -root mean square velocity, $\bar{v}$-mean velocity and $v_{m p}$ -most probable velocity)

• A. $v_{rms} > \vec{ v}$
• B. $v_{ rms } < \bar{v} > v_{ mp }$
• C. $V_{r m s} > \bar{v} > v_{m p}$
• D. None of these

Answer 1

Answer: (C)

The correct relation is $v_{ rms } > \bar{v} > v_{ mp }$
As $\bar{v}=1.6 \sqrt{\frac{R T}{M}}, v_{ rms }$
$=1.73 \sqrt{\frac{R T}{M}}$
and $v_{ mp }=1.41 \sqrt{\frac{R T}{M}}$