Question

A gaseous mixture containing $He,\, CH _{4}$ and $SO _{2}$ was allowed to effuse through a fine hole then find what molar ratio of gases coming out initially? (Given mixture contains $He,\, CH _{4}$ and $SO _{2}$ in $1: 2: 3$ mole ratio $)$.

• A. $\sqrt{2} : \sqrt{2} : 3$
• B. $2 : 2 : 3$
• C. $4 : 4 : 3$
• D. $1 : 1 : 3$

Answer 1

Answer: (C)

$4 : 4 : 3$

Answer 2

$\frac{n'He }{n' CH _{4}}=\frac{1}{2} \sqrt{\frac{16}{4}}= \frac{1}{1}$
$\frac{n' He }{n' SO _{2}}=\frac{1}{3} \sqrt{\frac{64}{4}}=\frac{4}{3}$
So, $n'_{ He }: n_{ CH _{4}}': n'SO _{2}=4: 4: 3.$