# $20 dm^3 of SO_2$ diffuses through a porous partition in 60 Seconds. What Volume be $O_2$ will diffuse under similiar conditions in 30 second?

$(a)\;12.3dm^3\qquad(b)\;14.14dm^3\qquad(c)\;10.13dm^3\qquad(d)\;11.13dm^3$

$\large\frac{r_1}{r_2} = \large\frac{V_1}{t_1}\times\large\frac{t_2}{V_2}$
$\;\;\;\;\;\;\;\; = \sqrt{(\large\frac{M_2}{M_1})}$
$\large\frac{20}{60}\times\large\frac{30}{V}=\sqrt{(\large\frac{32}{64})}$
$V = 14.14 dm^3$