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 orifice of vessel $A$. Assuming same conditions of temperature and pressure calculate the ratio of rates diffusion of gas in both vessels.

Answer 1

$Rateofdiffusion\propto \frac{1}{Areaoforifice}$

Let r be the radius of circular orifice.

$\therefore \frac{r_A}{r_B}=\frac{r^2}{\pi r^2}=\frac{1}{\pi }=0.318$