Question

$20l$ of ${SO}_2$ diffuses through a porous partition in $69$ seconds. Volume of $O_2$ diffuse under similar conditions in $30$ seconds will be:

• A. $12.14l$
• B. $14.14l$
• C. $18.14l$
• D. $28.14l$
• E. $52.4l$

Answer 1

The correct option is A $12.14l$

$\text{Rate of Diffusion}\propto \frac{1}{\sqrt{M}}\Rightarrow \frac{{\text{(rate of diffusion)}}_1}{{\text{(rate of diffusion)}}_2}=\sqrt{\frac{M_2}{M_1}}\Rightarrow \frac{\frac{20L}{69}}{\frac{V}{30}}=\sqrt{\frac{32}{64}}\Rightarrow \frac{V}{30}=\frac{20}{69}\times \sqrt{2}\Rightarrow V=\frac{600}{69}\times \sqrt{2}=12.14L$