IB Chemistry HL Topic 6 — Proton Transfer Paper 1 & 2 Core idea ~11 min read

Strong and Weak Acids and Bases

Two beakers, same volume, same concentration, same label on the bottle: 0.100 mol dm−3. Drop identical bits of magnesium in and one fizzes like mad while the other barely bubbles. Nothing has been diluted. The difference is how many of the acid molecules have actually let go of their protons.

📘 What you need to know

What “strong” actually means

Strength is about one thing only: what fraction of the molecules have given up their proton.

Dissolve HCl in water and essentially every molecule hands its proton to a water molecule. Almost nothing is left as HCl. The reverse reaction is so tiny we do not even draw it.

Strong acid: one-way arrow HCl(aq) + H2O(l) → H3O+(aq) + Cl(aq)

Dissolve ethanoic acid instead and only about one molecule in a hundred lets go. The rest float about intact, and an equilibrium settles down with the position well over to the left.

Weak acid: equilibrium arrow CH3COOH(aq) + H2O(l) ↔ H3O+(aq) + CH3COO(aq)
The arrow you draw is part of the answer. A double arrow on HCl or a single arrow on ethanoic acid tells the examiner you have not understood the difference, even if the rest of the equation is perfect.
Same concentration, very different insides Both beakers hold 0.100 mol of acid per cubic decimetre. STRONG ACID WEAK ACID KEY H⁺ A⁻ HA Almost every molecule has split. Lots of free H⁺, so a low pH. Most molecules are still whole. Few free H⁺, so a higher pH. Same amount of acid in, very different amounts of free H. Strong means fully split. Weak means only slightly split.
Count the red circles. Both beakers started with the same number of acid particles, but the left one has released nearly all its protons while the right one has released one.

Strong is not the same as concentrated

This is the single biggest confusion in the whole topic, so it is worth slowing down.

So a very dilute solution of a strong acid can easily have a higher pH than a concentrated solution of a weak one. The right words for concentration are dilute and concentrated. The right words for strength are strong and weak. Never swap them.

Strength and concentration are two separate dials You can turn either one without touching the other. DILUTE CONCENTRATED STRONG ACID WEAK ACID 0.01 mol dm⁻³ HCl fully split, but there is not much of it: pH 2.00 2.0 mol dm⁻³ HCl fully split and lots of it: pH about −0.30 0.01 mol dm⁻³ CH₃COOH barely split and not much of it: pH about 3.38 2.0 mol dm⁻³ CH₃COOH barely split, but plenty of it: pH about 2.23 Strong and concentrated are two different things. Look at the two middle boxes: the weak one has the lower pH.
Concentrated ethanoic acid (pH 2.23) is more acidic than dilute hydrochloric acid (pH 2.00 becomes 3.00 on a ten-fold dilution). Strength alone never tells you the pH.

Telling them apart in the lab

Take two acids at the same concentration and there are three practical ways to see which is stronger. All three come back to the same cause: the strong acid has more free H+ ions in solution.

What you measureStrong acidWeak acidWhy
pH with a pH meterlower (about 1 for 0.1 mol dm−3 HCl)higher (about 2.9 for 0.1 mol dm−3 CH3COOH)more free H+ gives a lower pH
Electrical conductivityhighlowmore ions in solution carry more current
Fizzing with magnesiumfast, vigorous bubblingslow, gentle bubblingrate depends on [H+], so more ions means a faster rate
Fizzing with a carbonatefast CO2 releaseslow CO2 releasesame reason — both still give off CO2
Temperature rise on neutralisinglargersmallersome energy is used up splitting the weak acid
Total volume of alkali neededthe samethe samethe number of moles of acid has not changed
The trap in that last row. A weak acid reacts more slowly, but it does not react less. Given time, 25.0 cm3 of 0.100 mol dm−3 ethanoic acid needs exactly as much NaOH as the same volume of 0.100 mol dm−3 HCl. As H+ is used up, the equilibrium simply shifts right and releases more.

Bases work the same way

Nothing new here, just the mirror image. A strong base is fully ionised in solution and a weak base only partly.

Strong base and weak base NaOH(aq) → Na+(aq) + OH(aq)
NH3(aq) + H2O(l) ↔ NH4+(aq) + OH(aq)

Notice that ammonia has no OH in its formula at all. It makes hydroxide ions by pulling a proton off a water molecule, and because it is a weak base it only manages that with a small fraction of the ammonia present.

Why acid strength changes down group 17

An acid can only donate its proton if the bond holding it can break. So the strength of a hydrogen halide comes down to the H–X bond.

Going down the group the halogen atom gets bigger, so the bonding pair sits further from the nuclei, the bond gets longer and therefore weaker. A weaker bond breaks more easily, so the proton comes off more easily.

Acid strength increases down the group HF < HCl < HBr < HI
Students often reach for electronegativity here and argue that HF should be the strongest because F pulls electrons hardest. It is a reasonable thought, but bond strength wins: the H–F bond is so short and strong that HF is the only weak acid of the four.

Worked examples

WORKED EXAMPLE

Equal volumes of 0.100 mol dm−3 HCl and 0.100 mol dm−3 CH3COOH are each given an excess of magnesium ribbon. Compare the rate of reaction and the total volume of hydrogen produced.

Step 1: rate depends on [H+] HCl is strong so it is fully split; ethanoic acid is weak so only a little is split. [H+] in HCl is much larger → faster rate. Step 2: total volume depends on moles of acid Both flasks contain the same number of moles of acid, and the magnesium is in excess. Step 3: explain why the weak acid still finishes the job As H+ is used up the equilibrium shifts right, releasing the rest of the protons. HCl reacts faster, but both give the same total volume of H2 rate and amount are two different questions — answer both separately
WORKED EXAMPLE

A student says “sulfuric acid is stronger than hydrochloric acid because the bottle is more concentrated”. Explain what is wrong with this.

Step 1: name the two ideas being mixed up Strength is the fraction of molecules that dissociate. Concentration is moles per cubic decimetre. Step 2: show they are independent You can dilute a strong acid as much as you like and it stays strong. Step 3: give the correct wording The bottle being more concentrated only tells you there is more acid per dm3. Concentration says nothing about strength — the correct words are dilute and concentrated exam answers get the mark for the phrase “degree of dissociation”
WORKED EXAMPLE

Two 0.100 mol dm−3 solutions have pH 1.00 and pH 2.90. Identify which is the strong acid and estimate how many times more H+ it contains.

Step 1: turn both pH values into concentrations pH 1.00 → [H+] = 10−1.00 = 0.100 mol dm−3 pH 2.90 → [H+] = 10−2.90 = 1.26 × 10−3 mol dm−3 Step 2: compare with the concentration on the label The first one has released all 0.100 mol, so it is fully dissociated. Step 3: find the ratio 0.100 ÷ 1.26 × 10−3 = 79.4 pH 1.00 is the strong acid, with about 79 times more H+ the giveaway is that [H⁺] matches the label concentration exactly

💡 Exam tip

⚠ Common mix-up

Up next: Neutralisation Reactions. Now that you can tell an acid from a base and strong from weak, we can put them together and see what actually comes out.

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