Q. A 4 : 1 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 composition of mixture effusing out initially is

A) 8 : 1
B) 8 : 3
C) 4 : 1
D) 1 : 1
Explanation

(a)
The rate of effusion of He and ${CH}_{4}$
$\frac{r_{He}}{r_{{CH}_{4}}} = \sqrt{\frac{M_{{CH}_{4}}}{M_{He}}} = \sqrt{\frac{16}{4}} = 2\ :1$
If 4 : 1 mixture of He and ${CH}_{4}$ contained in a vessel, then the composition of mixture of He and ${CH}_{4}$ effusing out initially is 8 : 1.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.