Question

A certain gas diffuses from two different vessels A and B. The vessel A has a circular orifice while vessel B has a square orifice of length equal to the radius of the orifice of vessel A. The ratio of the rates of diffusion of the gas from vessel A to vessel B assuming same temperature and pressure is:

• A. $\pi :1$
• B. $1:\pi$
• C. $1:1$
• D. $2:1$

Answer 1

The correct option is A $\pi :1$

The ratio of diffusion is directly proportional to the area of orifice

$\therefore d_A\propto \pi r^2$ and $d_B\propto r^2$

$\therefore \frac{d_A}{d_B}=\pi \Rightarrow d_A:d_B=\pi :1$