Question

$Xml$ of $He$ gas effuses through a hole in a container in $10$ seconds. The time taken for the effusion of the same volume of gas specified below under identical condition is/ are :

• A. $20seconds:C{H}_4$
• B. $28seconds:O_2$
• C. $40seconds:S{O}_2$
• D. all of the given are correct

Answer 1

Answer: (B)

$28seconds:O_2$

$\begin{array}{cc}\frac{R_{He}}{R_{C{H}_4}}=\sqrt{\frac{M_{C{H}_4}}{M_{He}}}=\sqrt{\frac{16}{4}}=\sqrt{4}=2& \\ R_{He}=2R_{C{H}_4}=2\times mlofC{H}_4& \\ II{I}^{rd}for\frac{R_{He}}{R_{O_2}}=\sqrt{\frac{32}{4}}=\sqrt{8}=2\sqrt{2}& R_{He}=2\sqrt{2}\times R_{O_2}\Rightarrow 2.8\times of{O}_2\\ \frac{R_{He}}{R_{S{O}_2}}=\sqrt{\frac{64}{4}}=\sqrt{16}=4\Rightarrow 4\times of{O}_2& \end{array}$

All answers are incorrect. It will be correct if instead of seconds there will ml of gas.