Question

Different Type of Speed of Gas Molecules

Answer 1

Different Type of Speed of Gas Molecules —

Root mean square speed,

$v_{ rms }=\sqrt{\frac{3 R T}{M}}=\sqrt{\frac{3 k_{B} T}{m}}$

Average speed, $\bar{v}=\sqrt{\frac{8 R T}{\pi M}}=\sqrt{\frac{8 k_{B} T}{\pi m}}$

Most probable speed, $v_{ mp }=\sqrt{\frac{2 R T}{M}}=\sqrt{\frac{2 k_{B} T}{m}}$

$v_{ rms }>\bar{v}>v_{ mp }$