Question

At a given temperature and pressure 20 ml of the gas diffuses through a porous membrance in 5 seconds. Calculate the volume of carbon dioxide which diffuses in 10 seconds if the vapour density of the gas is 11.

• A. $10\sqrt{2}$
• B. $\frac{20}{\sqrt{2}}$
• C. $\frac{40}{\sqrt{2}}$
• D. $\frac{10}{\sqrt{2}}$

Answer 1

The correct option is C $\frac{40}{\sqrt{2}}$

$\frac{r_A}{r_B}=\frac{\frac{V_1}{t_1}}{\frac{V_2}{t_2}}=\sqrt{\frac{M_B}{M_A}}$

$\frac{20\times 10}{V\times 5}=\sqrt{\frac{44}{22}}=\sqrt{2}$

$V=\frac{40}{\sqrt{2}}$

Hence, the correct option is $\text{C}$