CSEC CHEMISTRY · SECTION A · LESSON A10

Balanced Equations, Reacting Masses and Volumes, and Concentration

Writing and balancing molecular and ionic equations with state symbols, using equations to calculate reacting masses and gas volumes, and molar and mass concentration with standard solutions.

Principles of ChemistryA 6.5A 6.6A 6.7≈ 55 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A10 · EXPLAINER

Balanced Equations, Reacting Masses and Volumes, and Concentration

A balanced equation is a recipe: it says how many particles of each substance react. Combine it with the mole and you can predict exactly how much product to expect.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Balancing

Change coefficients only; never subscripts; add state symbols.

State symbols

(s), (l), (g), (aq). Acids are (aq).

Ionic equation

Write the ions that react; cancel spectator ions.

Mole ratio

Use the coefficients in the balanced equation.

Gas volume

V = n × 24 dm³ at rtp.

Molar concentration

c = n ÷ V (mol/dm³); n = c × V.

Mass concentration

g/dm³ = c × M.

Standard solution

Accurately known concentration made in a volumetric flask.

EXAM TIPS & COMMON MISTAKES

  • January 2026: ZnCl₂ not ZnCl; H₂ gas; (aq) for hydrochloric acid — learn these before balancing.
  • Do not divide the volume by the concentration: n = c × V.
  • Always change cm³ to dm³ before calculating (÷ 1 000).
  • Write “mole ratio 1 : 1” explicitly in calculations.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Chemistry Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 6.5

1. Which is the correctly balanced equation?

Answer: C. Two Mg and two O on each side.
Syllabus A 6.5

2. The state symbol for hydrochloric acid in an equation is

Answer: D. It is HCl dissolved in water.
Syllabus A 6.5

3. The ionic equation for zinc reacting with dilute acid is

Answer: A. Cl⁻ is a spectator ion.
Syllabus A 6.6

4. The mole ratio of Mg : H₂ in Mg + 2HCl → MgCl₂ + H₂ is

Answer: B. Coefficients of Mg and H₂ are both 1.
Syllabus A 6.6

5. 2.4 g of magnesium reacts with excess acid (Mg = 24; molar volume 24 dm³). The volume of hydrogen at rtp is

Answer: C. 0.10 mol × 24.
Syllabus A 6.7

6. The concentration of a solution containing 0.20 mol of solute in 500 cm³ is

Answer: D. 0.20 ÷ 0.500.
Syllabus A 6.7

7. The number of moles in 25.0 cm³ of 0.200 mol/dm³ solution is

Answer: A. 0.200 × 25.0 ÷ 1000.
Syllabus A 6.7

8. A standard solution is a solution

Answer: A. It is used in titrations.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (19 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Equations and calculations

Question 1 [19 marks]

Relative atomic masses: H = 1, C = 12, O = 16, Mg = 24, Cl = 35.5, Ca = 40. Molar volume = 24 dm³ at rtp.

(a) (a) Write a balanced equation, with state symbols, for the reaction of magnesium with dilute hydrochloric acid. [3]

MARK SCHEME — (a) (max 3)

(b) (b) Write the ionic equation for this reaction. [2]

MARK SCHEME — (b) (max 2)

(c) (c) 1.2 g of magnesium reacts with excess acid. Calculate the volume of hydrogen at rtp. [4]

MARK SCHEME — (c) (max 4)

(d) (d) Calculate the mass of magnesium chloride produced in (c). [3]

MARK SCHEME — (d) (max 3)

(e) (e) Calculate the concentration in mol/dm³ of a solution containing 5.3 g of Na₂CO₃ (M = 106) in 250 cm³. [3]

MARK SCHEME — (e) (max 3)

(f) (f) Describe how to prepare 250 cm³ of a standard solution. [4]

MARK SCHEME — (f) (max 4)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.