Question

Q) 50 ml of hydrogen diffuses through a small hole from vessel in 20 minutes time. Time taken for 40 ml of oxygen to diffuse out similar conditions will be?

Answer 1

heya hope this helps you

Answer 2

Time taken for diffusion of 40 ml of oxygen in similar conditions is 64 minutes.

Explanation:

From the given,

Volume of hydrogen = 50 ml

Diffusion time (t) = 20 min

Volume of oxygen = 40 ml

Diffusion time (t) = t min

$\text{Diffusion rate of hydrogen} = \frac{50}{20}=2.5 \ \mathrm{ml} / \mathrm{min}$

$\text {Diffusion rate of oxygen} = \frac{40}{\mathrm{t}} \ \mathrm{ml} / \mathrm{min}$

The molecular weight of hydrogen ($M_1$) = 2

The molecular weight of oxygen ($M_2$) = 32

$\frac{r_{1}}{r_{2}}=\sqrt{\frac{M_{2}}{M_{1}}} \rightarrow(1)$

Substitute the all values in equation (1) then we get diffusion rate of oxygen.

$\frac{2.5}{40 / \mathrm{t}}=\sqrt{\frac{32}{2}}$

$\frac{\mathrm{t}}{16}=4$

$t=64 \ minutes$