Question

$X$ $mL$ of $H_2$ gas effuses through a hole in a container in 5 $s$. The time taken for the effusion of the same volume of the gas specified below, under identical conditions, is

• A. 10 $s,He$
• B. 20 $s$, $O_2$
• C. 25 $s,CO$
• D. 55 $s$, $C{O}_2$

Answer 1

The correct option is B 20 $s$, $O_2$

As we know,
For the same volume diffused,

$t\propto M$ (Graham's law)

$\frac{t_1}{t_2}=\sqrt{\frac{M_1}{M_2}}$

$a.$ $\frac{5}{10}\ne \sqrt{\frac{2}{4}}$

$b.$ $\frac{5}{20}=\sqrt{\frac{2}{32}}$

$c.$ $\frac{5}{25}\ne \sqrt{\frac{2}{28}}$

$d.$ $\frac{5}{55}\ne \sqrt{\frac{2}{44}}$