Question

The ratio of rates of diffusion of $S{O}_2$, $O_2$ and $C{H}_4$ is:

• A. $1:\sqrt{2}:2$
• B. $1:2:4$
• C. $2:\sqrt{2}:1$
• D. $1:2:\sqrt{2}$

Answer 1

The correct option is A $1:\sqrt{2}:2$

$\begin{array}{c}\text{We know, rate of diffusion of gas (r)}\propto \frac{1}{\sqrt{\text{Molecular weight of gas}}}\end{array}$

$\text{Thus,}{r}_{S{O}_2}:r_{O_2}:r_{C{H}_4}\equiv \frac{1}{\sqrt{M_{S{O}_2}}}:\frac{1}{\sqrt{M_{O_2}}}:\frac{1}{\sqrt{M_{C{H}_4}}}$

$\begin{array}{c}=\frac{1}{\sqrt{64}}:\frac{1}{\sqrt{32}}:\frac{1}{\sqrt{16}}\\ =1:\sqrt{2}:2\end{array}$