Question

A 3 : 2 molar mixture of $N_2$, and CO is present in a vessel at 500 bar pressure. Due to hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is :

• A. $n_{N_2}:n_{CO}::1:2$
• B. $n_{N_2}:n_{CO}::6:1$
• C. $n_{CO}:n_{N_2}::1:2$
• D. $n_{CO}:n_{N_2}::2:3$

Answer 1

Answer: (D)

$n_{CO}:n_{N_2}::2:3$

Molar ratio of $N_2$ and CO is $3:2,$ i.e., $300$ bar and $200$ bar, respectively.

$\frac{n_{N_2}}{n_{CO}}=\sqrt{\frac{m_{CO}}{m_{N_2}}}\times \frac{P_{N_2}}{P_{CO}}=\frac{300}{200}=\frac{3}{2}$

So, the correct option is $D$