Question

If the densities of methane and oxygen are in the ratio $1:2$, the ratio of rate of diffusion of $O_2$ and $C{H}_4$ is respectively

• A. $1:2$
• B. $1:1.414$
• C. $2:1$
• D. $1.414:1$

Answer 1

The correct option is B $1:1.414$

The rate of diffusion is inversely proportional to the square root of density.

$\frac{r_{O_2}}{r_{C{H}_4}}=\sqrt{\frac{d_{C{H}_4}}{d_{O_2}}}=\sqrt{\frac{1}{2}}=1:1.414$

So, the correct option is $B$