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Q.

A certain gas diffuses from two different vessels A and B. The vessel ,4 has a circular orifice while vessel ,B has square orifice of length equal to the radius of the orifice of vessel A. The ratio of the rates of diffusion of the gas form vessel ,4 to vessel B, assuming Same temperature and pressure is:

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a

2 : 1

b

7 : 22

c

$π$

d

1 : 1

answer is A.

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Detailed Solution

The mole diffused per unit area in first case $\propto {πr}^{2}$
The mole diffused per unit area in second case $\propto r^{2}$
Thus , $\frac{r_{1}}{r_{2}} = \frac{a_{1}}{t_{1}} \times \frac{t_{2}}{a_{2}} = \frac{{πr}^{2}}{r^{2}} = π (∵ t_{1} = t_{2})$

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