Question

Carbon monoxide and chlorine gases are allowed to diffuse under identical conditions. The relation between the rates of diffusion of the two will be:

• A. chlorine will diffuse 1.5 times quickly than carbon monoxide
• B. carbon monoxide will diffuse 1.5 times quickly than chlorine
• C. there is no diffusion of gases
• D. the gases diffuse at the same rate

Answer 1

The correct option is B carbon monoxide will diffuse 1.5 times quickly than chlorine

According to Graham's law of diffusion,

$rate\propto \frac{1}{\sqrt{Molecularweight}}$

$\frac{{rate}_1}{{rate}_2}=\sqrt{\frac{M_2}{M_1}}$

For $CO$ gas, M=28

For $C{l}_2$ gas, M=71

$\frac{{\left(U_{RMS}\right)}_{CO}}{{\left(U_{RMS}\right)}_{{Cl}_2}}=\sqrt{\frac{71}{28}}=1.5$

So, $CO$ will diffuse or effuse 1.5 times quickly than chlorine gas.