Question

One litre of methane takes 20 minutes to diffuse out of a vessel. How long will one litre of $S{O}_2$ take to diffuse through the vessel under the same conditions of temperature and pressure?

• A. 40 min
• B. 24 min
• C. 20 min
• D. 10 min

Answer 1

The correct option is A 40 min

According to Graham's law of diffusion,
$\frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}}or,\frac{r_{C{H}_4}}{r_{S{O}_2}}=\frac{\frac{1}{20}}{\frac{1}{t}}or,\frac{\frac{1}{20}}{\frac{1}{t}}=\sqrt{\frac{64}{16}}or,t=40\text{min}$