CBSE Class 11-science Answered
Let the total volume of the gaseous mixture be 100 L.
O2 = 40 L, N2 = 40 L, CO2 = 10 L, CH4 =10 L
From the above relation, we can calculate the mass of each gas present in the mixture in 22.4 L, 32 g O2 is present ,
So, in 40 L, (32/22.4) x 40 g is present = 57.14 g.
Similarly,
Mass of N2 in the mixture = (28/22.4) x 40 = 50 g
Mass of CO2 in the mixture = (44/22.4) x 10 = 19.6 g
Mass of CH4 in the mixture = (16/22.4) x 10 = 7.14 g
Total mass of the gaseous mixture = 57.14 + 19.6 + 7.14 = 133.88 g
100 L of the gaseous mixture has a mass of (133.88/100) x 22.4 = 29.98 g ≈ 30 g
This means that 30 g is the molar mass of the gaseous mixture
Now, vapour density = molar mass / 2 = 30 / 2 =15