Question

$20\, dm^{3}$ of $SO_{2}$ diffuse through a porous partition in $60\, s$. What volume of $O_{3}$ will diffuse under similar conditions?

• A. $14.1\, dm^{3}$
• B. $16.1\, dm^{3}$
• C. $18.1 \, dm^{3}$
• D. $20.1\, dm^{3}$

Answer 1

Answer: (A)

$14.1\, dm^{3}$

Answer 2

From Graham law of diffusion, $\frac{\left(\frac{d V}{d t}\right)}{\left(\frac{d V}{d t}\right)}=\sqrt{\frac{M_{S O_{2}}}{M_{O_{2}}}}$
$\frac{\frac{20}{60}}{V}=\sqrt{\frac{64}{32}} =\sqrt{2} \frac{20}{60} \times \frac{60}{V}=\sqrt{2}$
$\Rightarrow \frac{20}{V}=\sqrt{2}$
$V=\frac{20}{\sqrt{2}}=14.1\, dm ^{3}$