Question

The density of $CO$ at $273K$ and $1$ atm is $1.2504kg{m}^{-3}$. Calculate
(a) root mean square speed (b) the average speed and (c) most probable speed.

Answer 1

(a) The RMS speed is

$U_{RMS}=\sqrt{\frac{3P}{d}}$

$=\sqrt{\frac{3\times 1.013\times {10}^{5}N/m^2}{1.2504}}$

$=493m/s$

(b)The average speed is

$U_{av}=0.9213U_{RMS}$

$=0.9213\times 493$

$=454.4m/s$

(c) The most probable speed is

$U_{mp}=0.816\times U_{rms}$

$=0.816\times 493$

$=403m/s$