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Avogadro’s law. Molar volume

Lessons 25 · 1 lessons · I.R. Asqarov, K. G‘opirov, N.X. To‘xtaboyev. Chemistry Grade 8, revised 4th edition. “Yangiyul Poligraph Service”, Tashkent, 2019
25

Avogadro’s law. Molar volume

Textbook: pp. 103–110
GoalKnow Avogadro’s law, molar volume, gas density and relative density, and apply them in simple calculations.
New words
Avogadro’s law · Avogadro qonunimolar volume · molyar hajmstandard conditions (s.t.p.) · normal sharoit (n.sh.)relative density · nisbiy zichlik
Explanation

Avogadro’s law: at the same temperature and pressure, equal volumes of different gases contain the same number of molecules. In gases the distance between molecules is much larger than their size, so the volume depends mainly on the number of molecules. One mole of any substance contains 6.02·10²³ particles (the Avogadro constant); at standard conditions (0 °C and 101.3 kPa) 1 mol of any gas occupies 22.4 l, the molar volume Vₘ = 22.4 l/mol. Formulas: n = V : Vₘ, V = n·Vₘ. Gas density is ρ = M : Vₘ (g/l), and the density of one gas relative to another is D = M₁ : M₂. For example D(O₂/H₂) = 32 : 2 = 16; the average molar mass of air is 29 g/mol, so D(air) = M : 29. The law holds for gases; the volume of solids and liquids also depends on particle size.

Worked examples
Mᵣ(CO₂) = 44. D(CO₂/H₂) = 44 : 2 = 22; D(air) = 44 : 29 ≈ 1.52. ρ(CO₂) = 44 : 22.4 ≈ 1.96 g/l.
56 g of N₂ at s.t.p.: n = 56 : 28 = 2 mol, V = 2·22.4 = 44.8 l, the number of molecules 2·6.02·10²³ = 12.04·10²³. Density ρ(N₂) = 28 : 22.4 = 1.25 g/l.
Class activity

“Mole box”: to picture 22.4 l, build a cardboard box about 28 × 28 × 28 cm (about 22 litres; ask an adult to help cut). Compare 1 mol of water (18 ml — a little more than a tablespoon) with 1 mol of gas and explain the difference in a drawing. Only water and cardboard; no gas is made.

Practice
1
State Avogadro’s law in your own words.
2
Find the density of SO₂ relative to hydrogen (M = 64 g/mol).
3
What is the mass of 5 mol of oxygen (M = 32 g/mol)?
4
Why does 1 mol of liquid water take 18 ml while 1 mol of gas takes 22.4 l?