Solution
Related Formula
Pᵢ = Xᵢ · Ptotal = nᵢntotal · PtotalRatio of partial pressures:
(PA)/(PB) = (nA)/(nB)Core Logic
Assume a sample of dry air with total mass = 100 g:
- Mass of N₂ = 70.0 g
- Mass of O₂ = 27.0 g
- Mass of Ar = 3.0 g
Now, convert masses to moles:
Calculate ratios: (i) Ratio of partial pressure of nitrogen to oxygen:
PN₂PO₂ = nN₂nO₂ = (2.5)/(0.84375) ≈ 2.96(ii) Ratio of partial pressure of oxygen to argon:
PO₂PAr = nO₂nAr = (0.84375)/(0.075) ≈ 11.25 ≈ 11.2Pattern Recognition
Since total pressure cancels out in a ratio of partial pressures, we only need to calculate the mole ratio directly from the given mass percentages divided by their respective molar masses.
Chapter Mix
Class 11 Chemistry: Some Basic Concepts of Chemistry Class 11 Physics: Kinetic Theory of Gases