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IGCSE Chemistry 0620: Formulae, Equations and Relative Mass - Study Guide PDF with Answers

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Readnary original study guide

Formulae, Equations and Relative Mass

Learn atom counting, charge-balanced formulae, balanced equations and relative formula mass through three worked examples and 12 original questions with explained answers.

Original AI-assisted Readnary material. Not independently academically reviewed; answers may contain errors. Check important results against your course materials.

Selected content from 0620 sections 3.1 and 3.2 for exams in 2026-2028, with charge-based ionic formulae marked as Supplement work. No mole, titration, yield or limiting-reactant coverage is claimed. Chemical equations here are paper exercises, not instructions to perform reactions.

ExpressionWhat is countedInterpretation
H2O2 H and 1 OOne molecule
2H2O4 H and 2 OTwo molecules
Ca(OH)21 Ca, 2 O and 2 HBracket multiplies O and H
Al2(SO4)32 Al, 3 S and 12 OBracket multiplies S and O

Understand the topic

Read the formula before calculating

A subscript belongs to the element immediately before it, unless it follows a bracketed group. In Mg(OH)2, the 2 multiplies both O and H, not Mg. A coefficient in front of a formula multiplies the entire formula: 3H2O represents six hydrogen atoms and three oxygen atoms. In these plain-text expressions, trailing digits represent subscripts; a leading digit is a coefficient. Ionic substances form lattices rather than separate molecules, so use the term formula unit when appropriate.

Balance charge to construct an ionic formula

An ionic formula must have zero total charge. For Mg2+ and Cl-, two chloride ions balance one magnesium ion, giving MgCl2. Use the simplest whole-number ratio, not necessarily one of each ion. A polyatomic ion is kept together: three nitrate ions, each NO3-, combine with Al3+ to give Al(NO3)3. Brackets show that the entire nitrate group is repeated. The charges supplied in a question are the starting point; do not guess a charge from the final formula.

Balance atoms without changing the substances

A balanced equation conserves the number of atoms of each element. Change whole-number coefficients in front of formulae, never the subscripts inside a correct formula. Changing H2O to H2O2 would change water into a different substance. Make a left/right atom-count table, balance one element at a time and recheck every element at the end. Report the smallest whole-number coefficients. State symbols, when supplied, describe physical state: (s), (l), (g) and (aq) for solid, liquid, gas and aqueous solution.

Calculate relative mass and use mass ratios

Relative molecular mass is found by adding the relative atomic masses of all atoms in a molecule. For an ionic solid, use relative formula mass instead. Both are relative quantities with no unit. Molar mass has a similar numerical value but different meaning and units; this guide does not use the mole method. When a balanced reaction supplies a known mass ratio, scale it proportionally, provided other reactants are in excess and the reaction goes to completion. Use the atomic masses stated in the question rather than mixing different rounded tables.

Worked examples

1. Handle a bracketed formula

Find the relative formula mass of Ca(OH)2 using Ca=40, O=16 and H=1.

  1. Count the atoms: one Ca, two O and two H.
  2. Relative formula mass = 40 + 2(16 + 1) = 40 + 34 = 74.
  3. The 2 applies to the whole OH group. The answer is 74, with no unit, not 74 g.

2. Balance combustion on paper

Balance the equation C3H8 + O2 -> CO2 + H2O.

  1. Balance carbon first: one C3H8 requires 3CO2.
  2. Balance hydrogen next: eight H atoms require 4H2O.
  3. The right-hand side now contains 6 + 4 = 10 O atoms, requiring 5O2. Final equation: C3H8 + 5O2 -> 3CO2 + 4H2O.

3. Use a reacting mass ratio

For 2Mg + O2 -> 2MgO, take Mg=24 and O=16. What mass of MgO forms from 6.0 g Mg with oxygen in excess?

  1. The balanced equation corresponds to 48 mass units of Mg forming 80 mass units of MgO.
  2. Scale factor = 6.0 / 48 = 0.125.
  3. Mass of MgO = 80 x 0.125 = 10 g. The product is heavier than the starting magnesium because oxygen is added. This assumes complete reaction.

12 practice questions with explained answers

Try each question before opening its answer. Numerical answers should include your working.

1. How many H and O atoms are represented by 4H2O?

Show answer to question 1

Eight H atoms and four O atoms. The coefficient 4 multiplies every atom count in one H2O molecule.

2. Count each element in Al2(SO4)3.

Show answer to question 2

Al: 2; S: 3; O: 12. The outer 3 multiplies the whole SO4 group, while Al2 is outside the brackets.

3. Construct the formula from Ca2+ and Cl-.

Show answer to question 3

CaCl2. One +2 charge is balanced by two -1 charges, giving the simplest neutral ratio 1:2.

4. Construct the formula from Al3+ and O2-.

Show answer to question 4

Al2O3. Two aluminium ions give +6 and three oxide ions give -6. This is Supplement charge-balancing practice.

5. Construct the formula from Mg2+ and nitrate, NO3-.

Show answer to question 5

Mg(NO3)2. Two nitrate ions are needed; brackets preserve the repeated polyatomic group.

6. Balance H2 + O2 -> H2O using the smallest whole-number coefficients.

Show answer to question 6

2H2 + O2 -> 2H2O. Each side contains four H atoms and two O atoms.

7. Balance Fe + O2 -> Fe2O3 using the smallest whole-number coefficients.

Show answer to question 7

4Fe + 3O2 -> 2Fe2O3. Each side contains four Fe atoms and six O atoms.

8. Why is changing H2O to H2O2 an invalid way to balance a water-formation equation?

Show answer to question 8

It changes the identity of the product. Balancing adjusts amounts through coefficients, not the composition of a substance through subscripts.

9. Calculate the relative molecular mass of CO2 using C=12 and O=16.

Show answer to question 9

12 + 2 x 16 = 44. This is a relative mass and has no unit.

10. Calculate the relative formula mass of Mg(NO3)2 using Mg=24, N=14 and O=16.

Show answer to question 10

24 + 2(14 + 3 x 16) = 24 + 124 = 148. There are two N atoms and six O atoms.

11. For the magnesium reaction in the worked example, find the MgO mass produced from 9.0 g Mg with oxygen in excess.

Show answer to question 11

9.0 x 80 / 48 = 15 g MgO, assuming complete reaction. The mass increase comes from oxygen joining the magnesium.

12. Calcium carbonate decomposes as CaCO3 -> CaO + CO2. Given Ca=40, C=12 and O=16, find the CO2 mass from complete decomposition of 25 g CaCO3.

Show answer to question 12

Relative masses are CaCO3: 100 and CO2: 44. The mass ratio is 100:44, so 25 x 44 / 100 = 11 g CO2.

Revision checklist

  • Apply brackets before multiplying by a leading coefficient.
  • Make ionic formulae electrically neutral in simplest ratios.
  • Check each element on both sides of an equation.
  • Keep relative mass unitless and measured mass in grams.

Common mistakes

Do not omit the oxygen atoms inside a repeated polyatomic group. Do not use charges as permanent subscripts without simplifying the ratio. In mass calculations, state the excess-reactant and completion assumptions. These written calculations do not authorise experiments, heating or combustion.

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Source and review status

Cambridge IGCSE Chemistry 0620 syllabus, 2026-2028 (Version 2). Reference for scope only. No syllabus text or official exam questions reproduced.

Edition: 2026-09-22. Original AI-assisted Readnary material. Not independently academically reviewed; answers may contain errors. Check important results against your course materials. Independent of Cambridge; not an official publication or a complete syllabus.

IGCSE Chemistry 0620: Formulae, Equations and Relative Mass - Study Guide PDF with Answers

Chemistry · IGCSE · STUDY GUIDE

Learn atom counting, charge-balanced formulae, balanced equations and relative formula mass through three worked examples and 12 original questions with explained answers.

Read the original Readnary guide in PDF view or use the web lesson above. Try the questions before revealing their explained answers.