Chemists count atoms by weighing them. The mole is the bridge between the tiny world of particles and the grams on a balance.
Avogadro's law states that equal volumes of all gases, under the same temperature and pressure, contain the same number of molecules. One mole of any substance contains 6.022 × 10²³ particles. It has a mass equal to its molar mass in grams, and one mole of any gas occupies 22.4 litres at STP. Vapour density is half the molecular mass.
What is the mass of 2 moles of water? (H = 1, O = 16)
Molar mass of H₂O = 18 g, so 2 × 18 = 36 g
What volume do 3 moles of a gas occupy at STP?
3 × 22.4 = 67.2 litres
How many molecules are present in 0.5 mole of a substance?
0.5 × 6.022 × 10²³ = 3.011 × 10²³ molecules
The vapour density of CO₂ is 22. What is its molecular mass?
Molecular mass = 2 × vapour density = 44
A balanced equation shows the ratio of moles, and for gases the ratio of volumes, in which substances react. Use it to find masses and volumes of products. (Atomic masses: H = 1, C = 12, N = 14, O = 16, Ca = 40.)
In N₂ + 3H₂ → 2NH₃, what volume of ammonia forms from 10 litres of nitrogen with excess hydrogen?
The volume ratio N₂ : NH₃ is 1 : 2, so 20 litres of NH₃ form
What mass of CO₂ forms when 100 g of calcium carbonate is heated? CaCO₃ → CaO + CO₂
100 g is 1 mole of CaCO₃, which gives 1 mole of CO₂, so the mass is 44 g (22.4 litres at STP)
A compound is 40% C, 6.7% H and 53.3% O. Find its empirical formula.
The mole ratio is C : H : O = 3.33 : 6.7 : 3.33, which is 1 : 2 : 1. The empirical formula is CH₂O
1. Calculate the molecular mass of CO₂.
2. What is the mass of 3 moles of ammonia, NH₃?
3. What volume does 0.5 mole of any gas occupy at STP?
4. How many molecules are in 2 moles of a substance?
5. State Avogadro's law.
6. A gas has a vapour density of 22. What is its molecular mass?
7. How many moles are there in 22 g of CO₂?
8. In N₂ + 3H₂ → 2NH₃, what volume of ammonia is made from 10 litres of nitrogen with excess hydrogen?
9. What mass of CO₂ is obtained by heating 50 g of CaCO₃?
10. What is the percentage of oxygen by mass in water?