☰ Contents · Chemistry (General chemistry)

Amount of substance. The mole and molar mass

Lessons 5 · 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
5

Amount of substance

Textbook: pp. 31–34
GoalConnect the concepts of amount of substance, mole, Avogadro’s number and molar mass, and use n = m/M and N = n·Nₐ to calculate mass, amount and number of particles.
New words
mole · molmolar mass · molyar massaAvogadro constant · Avogadro doimiysilaw of conservation of mass · massaning saqlanish qonuni
Explanation

Amount of substance (n) expresses the number of particles (atoms, molecules, ions) in a substance, and its unit is the mole. By the SI definition in force since 2019, one mole is the amount that contains exactly 6.02214076·10²³ particles (earlier it was defined through the number of atoms in 12 g of carbon-12, which gives almost the same number); this number is the Avogadro constant, and in calculations Nₐ ≈ 6.02·10²³ mol⁻¹ is used. The mass of a substance (grams) and its amount (moles) are different quantities: the mass of one mole in grams is the molar mass M (g/mol), numerically equal to the relative atomic or molecular mass (M(H₂O) = 18 g/mol). From this follow n = m/M, m = n·M and the number of particles N = n·Nₐ; 1 kmol = 1000 mol and 1 mmol = 0.001 mol. In a chemical reaction atoms are neither lost nor created but only regrouped, so the mass of the reacting substances equals the mass of the products (law of conservation of mass). Any pure compound has a constant composition however it is obtained (law of constant composition); for example the mass fraction of carbon in CO₂ is 12/44 ≈ 27.3 %.

Worked examples
Find the amount of substance in 36 g of water (M(H₂O) = 18 g/mol): n = m/M = 36/18 = 2 mol.
What is the mass of 0.25 mol of CaCO₃? M(CaCO₃) = 40 + 12 + 3·16 = 100 g/mol; m = n·M = 0.25·100 = 25 g.
Class activity

Calculation race: formula cards are handed out; groups work out M and find the masses of 1 mol, 2 mol and 0.5 mol — the quickest correct group wins.

Practice
1
Find the mass of 3 mol of NaOH (M = 40 g/mol).
2
How many moles are there in 49 g of H₂SO₄ (M = 98 g/mol)?
3
Find the mass fraction (%) of iron in Fe₂O₃ (Aᵣ(Fe) = 56, Aᵣ(O) = 16).
4
Why do 1 mol of water and 1 mol of iron have different masses but the same number of particles?