Question

23. One litre of gaseous mixture is effused in 5 min 11 sec, while 1 litre of oxygen takes 10 min, the gaseous mixture
contains methane and hydrogen. Calculate the density of the gaseous mixture,
(a) 2.031 g/L
(b) 1.532 g/L
(c) 0.401 g/L
(
(d) 0.384 g/L
​

Answer 1

Answer:

47.14% and 52.86

Explanation:

Given: d1 =16

t 1 =10×60=600s

d 2=?

t 2 =5×60+11=311s

Volume is same, so

t 2/t 1 =√d1/√d2

311^2/600^2 =√d2/16

d2 =4.3

d↓d2 =1

and d ↓CH4 =8

So

d↓mix= d↓CH4 × (x)/100 + (100+X)d↓H2/100

4.3×100=8x+(100−x)×1

430=8x+100−x

330=7x

x=47.14%

%CH4 =47.14 % H2 =52.86