Question

A $4:1$ molar ratio mixture of helium and methane is contained in a vessel at $10$ bar pressure.Due to a hole in the vessel,the gas mixture leaks out . The molar ratio composition of the mixture effusing out initially :

• A. $8:1$
• B. $16:1$
• C. $32:1$
• D. $6:1$

Answer 1

The correct option is A $8:1$

$\frac{r_{He}}{r_{He}}=\frac{P_{He}}{P_{He}}\sqrt{\frac{M_{He}}{M_{He}}}$
(P$\alpha$ h)
$=\frac{4}{1}\sqrt{\frac{16}{4}}=\frac{8}{1}$