☰ Contents · Chemistry (General chemistry)

Avogadro’s law. Gas mixtures

Lessons 6 · 1 lessons · S. Masharipov, A. Mutalibov, E. Murodov, H. Islomova. General chemistry, Grade 11, 1st edition. G‘afur G‘ulom Publishing and Printing House, Tashkent, 2018
6

Avogadro’s law. Gas mixtures

Textbook: pp. 34–39
GoalExplain Avogadro’s law and its consequences (molar volume, relative density) and calculate gas volume, mass and amount, and the volume fraction in a mixture.
New words
Avogadro’s law · Avogadro qonunimolar volume · molyar hajmrelative density · nisbiy zichlikvolume fraction · hajm ulushi
Explanation

Avogadro’s law (1811): under the same conditions (same pressure and temperature) equal volumes of different gases contain equal numbers of molecules. Under normal conditions (0 °C, 101.325 kPa) 1 mol of any gas occupies 22.4 L — the molar volume of gases Vₘ = 22.4 L/mol — so n = V/Vₘ and V = n·22.4. The ratio of the masses of two gases in equal volumes equals the ratio of their molar masses; the density of the first gas relative to the second is D = M₁/M₂, from which M = 2·D(H₂) and M = 29·D(air), since the average molar mass of air is about 29 g/mol. In reactions between gases the coefficients also give the ratio of volumes: in H₂ + Cl₂ = 2HCl the volumes are 1 : 1 : 2. Molecules of the common simple gases are diatomic (H₂, N₂, O₂, F₂, Cl₂), ozone O₃ is triatomic and noble gases are monatomic (He, Ne, Ar). In a gas mixture the volume fraction of component i is φ = Vᵢ/V(mixture) (or ·100 % for a percentage).

Worked examples
How many molecules are in 5.6 L (n.c.) of nitrogen? n = 5.6/22.4 = 0.25 mol; N = 0.25·6.02·10²³ = 1.505·10²³ molecules.
The density of a gas relative to air is 0.55. M = 29·0.55 ≈ 16 g/mol — this could be methane CH₄. Its density relative to hydrogen is D(H₂) = 16/2 = 8.
Class activity

Exercise: gas formulas (He, CH₄, NH₃, CO₂, Cl₂, SO₂) are on cards. Groups arrange them in order of increasing density relative to air and decide which gases are lighter than air.

Practice
1
What volume in litres do 5 mol of Cl₂ occupy under normal conditions?
2
What is the mass in grams of 44.8 L (n.c.) of SO₂ (M = 64 g/mol)?
3
Find the density relative to hydrogen of a gas with M = 34 g/mol.
4
A mixture contains 6 L N₂, 3 L CO₂ and 1 L Ar. What is the volume fraction of N₂ in percent?