Acid Strength Down a Group and Across a Period
Ask a class why HI is a stronger acid than HF and someone will answer "because iodine is more electronegative". Iodine is less electronegative than fluorine, and HI is still the stronger acid by a huge margin. That single contradiction is the reason this topic produces so many wrong answers: the trend down a group and the trend across a period are driven by two different factors. Learn which factor rules where, and the whole chapter becomes predictable instead of confusing.
One idea unifies everything: conjugate base stability
A strong acid is one whose conjugate base A⁻ is stable and comfortable holding the negative charge, so the equilibrium sits to the right. A large Ka means a small pKa — that inversion is worth saying aloud until it is automatic. Every explanation below reduces to the same question: how well does A⁻ cope with the extra electron?
Down a group — bond enthalpy wins
Go down group 17 and the H–X bond gets longer and much weaker, because the halogen's valence orbital is larger and overlaps the small hydrogen 1s orbital poorly. A weaker bond is easier to break, and the resulting large anion spreads its charge over a bigger volume, which is stabilising.
| Acid | Mean H–X bond enthalpy (kJ/mol) | Electronegativity of X (Pauling) | Approximate pKa in water | Strength |
|---|---|---|---|---|
| HF | 567 | 4.0 | ≈ 3.2 | Weak acid |
| HCl | 431 | 3.0 | ≈ −7 | Strong |
| HBr | 366 | 2.8 | ≈ −9 | Stronger |
| HI | 298 | 2.5 | ≈ −10 | Strongest |
Read the table across and the point makes itself. Electronegativity falls down the group while acid strength rises — so electronegativity cannot be the controlling factor here. Bond enthalpy falls steeply, from 567 to 298 kJ/mol, and acid strength tracks it exactly.
An honest caution about those pKa numbers. In water, HCl, HBr and HI are all completely ionised, so water cannot tell them apart — this is the levelling effect: no acid stronger than H3O⁺ can survive in water. Their negative pKa values are estimates obtained from measurements in less basic solvents (glacial acetic acid is the classic choice), so treat them as approximate ordering rather than precise data, and expect different textbooks to quote slightly different figures.
The same trend holds in group 16: H2O < H2S < H2Se < H2Te in acid strength, for exactly the same bond-strength reason. Water is a very weak acid; hydrogen telluride is a moderately strong one.
Across a period — electronegativity wins
Now move along period 2. The bonds are all to second-row atoms of similar size, so bond enthalpy no longer dominates. What changes sharply is electronegativity, and a more electronegative atom holds the negative charge of A⁻ much more comfortably.
| Acid | Conjugate base | Electronegativity of the atom carrying the charge | Approximate pKa |
|---|---|---|---|
| CH4 | CH3⁻ | C, 2.5 | ≈ 50 (tables vary widely) |
| NH3 | NH2⁻ | N, 3.0 | ≈ 38 |
| H2O | OH⁻ | O, 3.5 | 15.7 |
| HF | F⁻ | F, 4.0 | ≈ 3.2 |
Methane is so weak an acid that its pKa cannot be measured directly and is estimated by indirect routes — which is why different sources quote noticeably different numbers for it. The ordering, however, is not in doubt, and the ordering is what exams ask for.
Oxyacids — two separate comparisons
For acids of the form H–O–X, the acidic hydrogen is always on oxygen, so the question becomes how strongly the rest of the molecule pulls electron density away from that O–H bond.
Same central atom, different number of oxygens: more oxygen atoms means more electron withdrawal and better spreading of the charge on the anion, so the acid is stronger.
| Acid | Oxidation state of Cl | Terminal (non-OH) oxygens | Approximate pKa |
|---|---|---|---|
| HOCl (hypochlorous) | +1 | 0 | ≈ 7.5 |
| HClO2 (chlorous) | +3 | 1 | ≈ 2.0 |
| HClO3 (chloric) | +5 | 2 | ≈ −1 |
| HClO4 (perchloric) | +7 | 3 | ≈ −8 |
Pauling noticed an empirical shortcut that reproduces this column surprisingly well:
Test it: HOCl has q = 0 → predicted 8, observed ≈ 7.5. HClO2 has q = 1 → predicted 3, observed ≈ 2.0. HClO3 has q = 2 → predicted −2, observed ≈ −1. HClO4 has q = 3 → predicted −7, observed ≈ −8. It is a rule of thumb, not a law, and it should be labelled as such in an answer — but as an order-of-magnitude estimate it is excellent.
Different central atom, same number of oxygens: now electronegativity decides, so HOCl > HOBr > HOI in acid strength — chlorine pulls the hardest on the O–H bond.
Worked example 1 — pKa to pH for a weak acid
Find the pH of 0.10 M acetic acid, pKa = 4.76.
Step 1. Ka = 10−4.76 = 100.24 × 10−5 = 1.74 × 10−5
Step 2. For a weak acid where dissociation is small,
[H⁺] ≈ √(Ka × C)
[H⁺] = √(1.74 × 10−5 × 0.10) = √(1.74 × 10−6) =
1.32 × 10−3 M
Step 3. Check the approximation: 1.32 × 10−3 ÷ 0.10 = 1.3%, well under the usual 5% limit, so it is safe.
Step 4. pH = −log(1.32 × 10−3) = 3 − log 1.32 = 3 − 0.120 = 2.88
Worked example 2 — one chlorine atom, and the approximation breaks
Replace one hydrogen of the methyl group with chlorine and the electron-withdrawing effect travels along the σ bonds to stabilise the carboxylate anion. This is the inductive effect, and it is the organic version of everything said above.
Find the pH of 0.10 M chloroacetic acid, ClCH2COOH, pKa = 2.86.
Step 1. Ka = 10−2.86 = 100.14 × 10−3 = 1.38 × 10−3 — about 79 times larger than acetic acid's, from a single chlorine atom.
Step 2 (approximate). [H⁺] ≈ √(1.38 × 10−3 × 0.10) = √(1.38 × 10−4) = 1.17 × 10−2 M, giving pH = 1.93.
Step 3 — check it. 1.17 × 10−2 ÷ 0.10 = 11.7%, which is well above 5%. The approximation is not valid here, so solve properly:
x² ÷ (0.10 − x) = 1.38 × 10−3 → x² + 1.38 × 10−3x −
1.38 × 10−4 = 0
Discriminant = (1.38 × 10−3)² + 4(1.38 × 10−4) = 1.91 × 10−6
+ 5.52 × 10−4 = 5.541 × 10−4
√(5.541 × 10−4) = 2.354 × 10−2
x = (2.354 × 10−2 − 1.38 × 10−3) ÷ 2 = 2.216 × 10−2 ÷ 2 =
1.108 × 10−2 M
pH = −log(1.108 × 10−2) = 2 − 0.045 = 1.96
The shortcut gave 1.93 and the correct method gives 1.96. Small here — but the gap grows fast for stronger weak acids, and examiners choose exactly those numbers.
The inductive series, and why HF breaks the halide pattern
Adding more electron-withdrawing groups keeps pushing acidity up. Commonly tabulated pKa values at 25 °C: CH3COOH 4.76, ClCH2COOH 2.86, Cl2CHCOOH 1.29, Cl3CCOOH 0.66. Each chlorine drags more electron density away from the carboxylate, spreading the charge and stabilising the conjugate base.
Finally, the anomaly students are most often asked to explain: why is HF a weak acid when fluorine is the most electronegative element? Two reasons combine. The H–F bond is by far the strongest of the four at 567 kJ/mol, so breaking it is expensive. And F⁻ is very small and highly charge-dense, so in water it forms unusually strong hydrogen bonds and ion pairs with H3O⁺, pulling the equilibrium back towards undissociated HF. Both effects work against ionisation, and they outweigh the electronegativity advantage.
Common mistakes that cost marks
- Using electronegativity to explain a group trend. It predicts the opposite of reality for HF → HI. Down a group, argue from bond enthalpy and anion size.
- Using bond enthalpy to explain a period trend. Across period 2 the bonds are too similar; electronegativity of the charge-carrying atom is the argument.
- Confusing strength with concentration. A concentrated solution of a weak acid can have a lower pH than a dilute strong acid. Strength is Ka; concentration is molarity.
- Reading pKa the wrong way round. Lower pKa = stronger acid, always.
- Skipping the 5% check before using [H⁺] = √(KaC). If dissociation exceeds about 5%, the quadratic is compulsory.
- Forgetting the levelling effect and claiming you can measure the difference between HCl and HI in water. In water they are equally strong; the difference shows only in a weaker base solvent.
Where this appears in exams
| Exam | Typical question |
|---|---|
| CBSE / ICSE Class 11 | Arrange HF, HCl, HBr, HI in order of acid strength and justify |
| CBSE / ICSE Class 12 | Acidity of phenols vs alcohols vs carboxylic acids; effect of substituents |
| JEE / NEET | Ordering oxyacids; pH of weak acid solutions; inductive effect ranking |
| IIT-JAM / CUET-PG | Ka and pKa calculations, conjugate acid–base pairs |
| GATE / CSIR-NET | Hammett-type substituent effects, acidity in non-aqueous solvents |
Check your pH working in seconds. The pH / pOH calculator takes [H⁺], [OH⁻], pH or pOH and converts between all four, so you can verify both worked examples above — including the one where the square-root shortcut fails and the quadratic is needed.
Open the pH / pOH Calculator →Periodic trends reward understanding over memorising, and that is much easier with a teacher who asks you "why" every time. ABC Chemistry runs Class 11–12 chemistry coaching at the Gurugram centre and online classes across India — abcchemistry.in.