Question

$2$ grams of $H_2$ diffuses in $10$ minutes. The weight (in $g$) of $O_2$ that can diffuse from the same container in the same time under similar conditions is:

• A. $4.0$
• B. $0.5$
• C. $6.0$
• D. $0.8$

Answer 1

Answer: (B)

$0.5$

According to the Graham's law of diffusion, $\frac{r_1}{r_2}=\sqrt{\frac{M_2}{M_1}}$

Here, $1$ refers to oxygen and $2$ refers to hydrogen.

$r$ is the rate of diffusion and $M$ is the molar mass.

Substituting values in the above equation, we get

$\frac{r_1}{2}=\sqrt{\frac{2}{32}}\Rightarrow r_1=0.50$ $g$

Thus, in $10$ minutes, $0.5$ $g$ of oxygen will diffuse.