Question

The relative rate of diffusion of gas (Molecular weight = 128) as compared to oxygen is:

• A. $2\times \sqrt{2}$ times
• B. $2$ times
• C. $1/2$
• D. $\frac{1}{2\times \sqrt{2}}$

Answer 1

Answer: (C)

$1/2$

The relative rate of diffusion of gas (Molecular weight = 128) as compared to oxygen is $1/2$.

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

$\frac{r_{gas}}{r_{O_2}}=\sqrt{\frac{M_{O_2}}{M_{gas}}}=\sqrt{\frac{32}{128}}=\frac{1}{2}$

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