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Flashcards · 9620 · AS Topic 2

Amount of substance (AS Level) flashcards

22 cards on AS Topic 2, subtopics 3.1.2.1 to 3.1.2.5. Pick a subtopic or study them all.

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3.1.2.1 Relative atomic mass and relative molecular mass

Relative atomic mass, Ar
The weighted mean mass of an atom of an element (allowing for its isotopes) divided by one twelfth of the mass of an atom of carbon-12.
Relative molecular mass, Mr
The mean mass of a molecule divided by one twelfth of the mass of an atom of carbon-12.
Why is “relative formula mass” used for ionic compounds?
Ionic compounds exist as lattices, not as separate molecules.
Why do Ar and Mr have no units?
Each is a ratio of masses (compared with one twelfth of the mass of a carbon-12 atom).

3.1.2.2 The mole and the Avogadro constant

The Avogadro constant, L
The number of entities (atoms, molecules, ions, electrons…) in one mole of a substance: 6.02 × 10²³ mol⁻¹.
Equations linking amount (n) with mass, number of particles and concentration
n = m ÷ Mr N = n × L c = n ÷ V (c in mol dm⁻³, V in dm³)
0.0500 mol of Na₂CO₃ is dissolved to make 250 cm³ of solution. Concentration?
c = 0.0500 ÷ 0.250 = 0.200 mol dm⁻³
How many moles of ions are in 0.0200 mol of Al₂(SO₄)₃?
0.0400 mol Al³⁺ + 0.0600 mol SO₄²⁻ = 0.100 mol of ions.

3.1.2.3 The ideal gas equation

The ideal gas equation, with SI units
pV = nRT p in Pa, V in m³, n in mol, R = 8.31 J K⁻¹ mol⁻¹, T in K.
Unit conversions for pV = nRT
kPa × 1000 = Pa cm³ × 10⁻⁶ = m³ dm³ × 10⁻³ = m³ K = °C + 273
Find p for 0.0500 mol of gas at 400 K in a 2.00 dm³ vessel (R = 8.31 J K⁻¹ mol⁻¹)
p = nRT ÷ V = (0.0500 × 8.31 × 400) ÷ (2.00 × 10⁻³) = 83 100 Pa = 83.1 kPa
How do you find Mr of a gas from pV = nRT?
Find n = pV ÷ RT (all in SI units), then Mr = mass ÷ n.

3.1.2.4 Empirical and molecular formula

Empirical formula and molecular formula
Empirical: the smallest whole-number ratio of atoms of each element in a compound. Molecular: the actual number of atoms of each element in one molecule (a whole-number multiple of the empirical formula).
Method for an empirical formula from masses or percentages
Divide each mass (or % as grams in 100 g) by Ar to get moles, divide all by the smallest, then multiply to whole numbers if needed (×2 for .5, ×3 for .33 or .67).
An oxide is 69.9% Fe and 30.1% O. Empirical formula?
Fe: 69.9 ÷ 55.8 = 1.25; O: 30.1 ÷ 16.0 = 1.88. Ratio 1 : 1.50, multiply by 2 → Fe₂O₃. Do not round 1.50 down.
Empirical formula CH₂O, Mr = 60.0. Molecular formula?
CH₂O has mass 30.0. 60.0 ÷ 30.0 = 2, so C₂H₄O₂.

3.1.2.5 Balanced equations and associated calculations

Percentage yield
(actual mass of product ÷ theoretical mass) × 100
Percentage atom economy
(molecular mass of desired product ÷ sum of molecular masses of all reactants) × 100
Yield vs atom economy
Percentage yield depends on what happened in one experiment. Atom economy is fixed by the balanced equation.
Advantages of a high atom economy
Economic: less raw material ends up as unwanted product, and waste disposal and separation costs are lower. Environmental/ethical: fewer natural resources used and less waste produced.
Ionic equation and spectator ions
An ionic equation shows only the species that change, for example Pb²⁺(aq) + 2I⁻(aq) → PbI₂(s). Spectator ions are present unchanged on both sides and are left out.
Required practical 1: making up a volumetric (standard) solution
Weigh the solid by difference, dissolve in a beaker, transfer with rinsings to a volumetric flask, make up to the graduation line, then invert to mix.