Question

Calaulate relative rates of effusion of $O_2$ to $C{H}_4$ through a container containing $O_2$ and $C{H}_4$ in $3:2$ mass ratio.

• A. $\frac{3\sqrt{2}}{4}$
• B. $\frac{3}{4\sqrt{2}}$
• C. $\frac{3}{2\sqrt{2}}$
• D. $Noneofthese$

Answer 1

The correct option is B $\frac{3}{4\sqrt{2}}$

$\frac{{}^r{O}_2}{{}^{r}C{H}_4}=\frac{{}^P{O}_2}{{}^{P}C{H}_4}=\sqrt{\frac{{}^{m}C{H}_4}{{}^m{O}_2}}$

$=\frac{{}^n{O}_2}{{}^{n}C{H}_4}=\sqrt{\frac{{}^{n}C{H}_4}{{}^m{n}_2}}$

$=\frac{3}{32}\times \frac{16}{2}\sqrt{\frac{16}{32}}$

$=\frac{3}{4\sqrt{2}}$