Ka, Kb, and ionization
Weak acid HA: Ka = [H⁺][A⁻]/[HA]. Weak base B: Kb = [BH⁺][OH⁻]/[B]. Conjugate pair: Ka × Kb = Kw = 10⁻¹⁴ at 25°C. pKa = -log(Ka).
-- NCERT Class 11 Chemistry, Ch. 6, p. 198The trap: You see "0.1 M acetic acid" in a NEET stem and compute pH = −log(0.1) = 1. That answer is wrong by two pH units — because acetic acid is a weak electrolyte and does not fully dissociate.
Strong vs. weak electrolytes. A strong electrolyte dissociates completely in water. HCl → H⁺ + Cl⁻: every molecule ionises, so [H⁺] equals the initial acid concentration. NaOH, KNO₃, H₂SO₄ (first dissociation) — all strong. A weak electrolyte dissociates only partially. Acetic acid (CH₃COOH), ammonia (NH₃), carbonic acid (H₂CO₃) — only a small fraction of molecules produce ions at equilibrium (NCERT Class 11 Chemistry Chapter 6, page 195).
Degree of dissociation (α). For a weak acid HA at concentration C: HA ⇌ H⁺ + A⁻. At equilibrium, [H⁺] = Cα and [A⁻] = Cα, with undissociated [HA] = C(1 − α). The acid dissociation constant is Ka = Cα²/(1 − α). When α ≪ 1 (the standard NEET approximation): Ka ≈ Cα², so α ≈ √(Ka/C) and [H⁺] ≈ √(Ka · C).
The conjugate link. For a conjugate acid-base pair: Ka × Kb = Kw = 10⁻¹⁴ at 25 °C, or equivalently pKa + pKb = 14. A stronger acid (larger Ka) has a weaker conjugate base (smaller Kb). This relationship is how NEET questions bridge between weak-acid and weak-base calculations.
Degree of dissociation depends on dilution. Ostwald's dilution law: α = √(Ka/C). As you dilute (C decreases), α increases. More dilute → more dissociation — but [H⁺] = √(Ka · C) still decreases because the concentration drop dominates.
Watch-out for NEET: When a stem says "weak acid" or gives Ka ≪ 1, you must use [H⁺] ≈ √(Ka · C). Treating it as a strong acid (using [H⁺] = C directly) is a common trap that costs 5 marks (4 lost + 1 penalty).
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
Which of the following is a strong electrolyte in aqueous solution?
Answer: D. NaOH is a strong base that dissociates completely in water: NaOH → Na⁺ + OH⁻ (NCERT Class 11 Chemistry Chapter 6, page 195).
Why A is wrong: A is wrong because acetic acid (CH₃COOH) is a weak acid — it partially dissociates in water (Ka ≈ 1.8 × 10⁻⁵).
Why B is wrong: B is wrong because ammonia (NH₃) is a weak base — it partially ionises in water (Kb ≈ 1.8 × 10⁻⁵).
Why C is wrong: C is wrong because carbonic acid (H₂CO₃) is a weak diprotic acid — both dissociation steps are partial.
The degree of dissociation of a weak electrolyte increases when:
Answer: A. By Ostwald's dilution law, α = √(Ka/C). As concentration C decreases (dilution), α increases (NCERT Class 11 Chemistry Chapter 7).
Why B is wrong: B is wrong because increasing concentration C makes α = √(Ka/C) smaller — more molecules present but a smaller fraction dissociates.
Why C is wrong: C is wrong because adding a common ion suppresses dissociation (Le Chatelier's principle shifts the equilibrium back toward the undissociated form).
Why D is wrong: D is wrong because the dissociation of a weak electrolyte is usually endothermic, so lowering the temperature shifts the equilibrium back toward the undissociated form and decreases α.
If Ka for a weak acid HA is 4.0 × 10⁻⁶ at 25 °C, what is Kb for its conjugate base A⁻?
Answer: B. Ka × Kb = Kw = 1.0 × 10⁻¹⁴. So Kb = 1.0 × 10⁻¹⁴ / 4.0 × 10⁻⁶ = 2.5 × 10⁻⁹ (NCERT Class 11 Chemistry Chapter 6, page 195).
Why A is wrong: A is wrong — this results from dividing 10⁻¹⁴ by 4.0 × 10⁻⁷ instead of 4.0 × 10⁻⁶ (exponent error in the denominator).
Why C is wrong: C is wrong — this comes from dividing 10⁻¹⁴ by 2.5 × 10⁻⁷, a mis-manipulation of the division.
Why D is wrong: D is wrong — this results from multiplying Ka × Kw instead of dividing Kw by Ka.
The pH of a 0.01 M solution of a strong acid HX (monoprotic, fully dissociated) is:
Answer: D. Strong acid fully dissociates: [H⁺] = 0.01 M = 10⁻² M. pH = −log(10⁻²) = 2.
Why A is wrong: A is wrong — pH = 1 corresponds to [H⁺] = 0.1 M, not 0.01 M. This confuses the concentration by a factor of 10.
Why B is wrong: B is wrong — pH = 7 is for pure water. A 0.01 M strong acid solution is decidedly acidic.
Why C is wrong: C is wrong — pH = 3 corresponds to [H⁺] = 10⁻³ M, which would apply if only a tenth of the acid dissociated (but HX is a strong acid).
A 0.1 M solution of a weak acid HA has Ka = 1.0 × 10⁻⁶. The approximate [H⁺] in the solution is:
Answer: A. [H⁺] ≈ √(Ka × C) = √(1.0 × 10⁻⁶ × 0.1) = √(10⁻⁷) = 10⁻³·⁵ ≈ 3.16 × 10⁻⁴ M. This is the standard weak-acid approximation (NCERT Class 11 Chemistry Chapter 7).
Why B is wrong: B is wrong — 10⁻³ M results from taking √(Ka) alone and ignoring the concentration factor, or from an incorrect exponent manipulation.
Why C is wrong: C is wrong — [H⁺] = 0.1 M treats the weak acid as fully dissociated (strong acid error). This is the classic trap: ignoring that HA is weak.
Why D is wrong: D is wrong — 10⁻⁶ M confuses Ka itself with [H⁺]. Ka is the equilibrium constant, not the hydrogen ion concentration.
For a conjugate acid-base pair at 25 °C, pKa + pKb equals:
Answer: B. Ka × Kb = Kw = 10⁻¹⁴ at 25 °C. Taking −log of both sides: pKa + pKb = pKw = 14 (NCERT Class 11 Chemistry Chapter 6, page 195).
Why A is wrong: A is wrong — 7 is the pH of pure water, not the sum pKa + pKb. This confuses pH with pKw.
Why C is wrong: C is wrong — pKa + pKb = 1 has no chemical basis. This likely confuses Ka + Kb = some small number with the logarithmic relationship.
Why D is wrong: D is wrong — the sum pKa + pKb = 14 is a fixed relationship at 25 °C for ANY conjugate pair, regardless of acid or base strength. The individual values vary, but the sum is constant.
A weak acid HA at concentration C₁ has degree of dissociation α₁ = 0.03. A second solution of the same acid is prepared at concentration C₂ = C₁/9 (nine times more dilute). Assuming α ≪ 1 in both cases, what is the degree of dissociation α₂ of the second solution?
Answer: C. By Ostwald's dilution law, α = √(Ka/C), so for a fixed Ka, α is inversely proportional to √C. Diluting nine-fold (C₂ = C₁/9) increases α by a factor of √9 = 3, giving α₂ = 3 × 0.03 = 0.09 — degree of ionization varying with concentration is described in NCERT Class 11 Chemistry, Chapter 6, page 199.
Why A is wrong: A is wrong — 0.27 comes from scaling α linearly by the concentration factor (0.03 × 9), instead of by its square root (√9 = 3). The concentration ratio, not α, scales linearly.
Why B is wrong: B is wrong — 0.01 assumes dilution DECREASES α (0.03 ÷ 3), the opposite of Ostwald's dilution law: dissociation increases, not decreases, on dilution.
Why D is wrong: D is wrong — 0.03 assumes α is unaffected by dilution, ignoring that α depends on C through α = √(Ka/C).
The pH of a 0.04 M weak monoprotic acid (Ka = 1.0 × 10⁻⁴) is:
Answer: C. [H⁺] = √(Ka × C) = √(1.0 × 10⁻⁴ × 0.04) = √(4.0 × 10⁻⁶) = 2.0 × 10⁻³ M. pH = −log(2.0 × 10⁻³) = 3 − log 2 = 3 − 0.30 = 2.7.
Why A is wrong: A is wrong — pH = 4.0 comes from using −log(Ka) = −log(10⁻⁴) = 4, confusing Ka with [H⁺]. Ka is NOT the hydrogen ion concentration for a weak acid.
Why B is wrong: B is wrong — pH = 2.0 results from treating the weak acid as a strong acid: [H⁺] = 0.04 M → pH = −log(0.04) ≈ 1.4, and then this doesn't even give 2.0. Alternatively, it comes from √(10⁻⁴) = 10⁻² (pH = 2) — ignoring the concentration factor C = 0.04 in the square root.
Why D is wrong: D is wrong — pH = 1.4 results from −log(0.04) = 1.4, treating 0.04 M as [H⁺] directly (the strong-acid-assumption error). Weak acid: use [H⁺] = √(Ka·C), not [H⁺] = C.
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Pattern: NEET pattern: ph weak acid base — Compute pH of a weak acid solution using Ka.
Given
A 0.02 M solution of a weak monoprotic acid HA at 25 °C. Ka = 2.0 × 10⁻⁵.
Required
Find the pH of the solution.
Concept
HA is a weak acid, so it partially dissociates: HA ⇌ H⁺ + A⁻. We use the weak-acid approximation [H⁺] ≈ √(Ka × C), valid when α ≪ 1.
Formula
[H⁺] = √(Ka × C)
pH = −log₁₀[H⁺]
Substitution
[H⁺] = √(2.0 × 10⁻⁵ × 0.02)
[H⁺] = √(2.0 × 10⁻⁵ × 2.0 × 10⁻²)
[H⁺] = √(4.0 × 10⁻⁷)
Calculation
[H⁺] = 2.0 × 10⁻³·⁵ = √4 × 10⁻³·⁵ = 2.0 × 10⁻³·⁵
More precisely: √(4.0 × 10⁻⁷) = 2.0 × 10⁻³·⁵ = 6.32 × 10⁻⁴ M.
Check approximation: α = [H⁺]/C = 6.32 × 10⁻⁴ / 0.02 = 0.032 (3.2% < 5%). Approximation valid.
Final answer
pH = −log(6.32 × 10⁻⁴)
pH = −log(6.32) − log(10⁻⁴)
pH = −0.80 + 4 = 3.2
Note on exact values: The multiplier 2.0 in Ka = 2.0 × 10⁻⁵ and C = 0.02 M are problem-defined values taken as exact for the purpose of significant-figure analysis. The final answer (pH = 3.2) is reported to 2 significant figures consistent with the given data.
Common trap
Treating the weak acid as strong: [H⁺] = 0.02 M → pH = −log(0.02) = 1.7. This is off by 1.5 pH units. The giveaway is that Ka is provided — if it were a strong acid, Ka would be irrelevant to the calculation.
Similar NEET-style question
Calculate the pH of 0.05 M NH₄OH given Kb = 1.8 × 10⁻⁵. (Hint: find pOH first using [OH⁻] = √(Kb × C), then pH = 14 − pOH.)
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Weak acid HA: Ka = [H⁺][A⁻]/[HA]. Weak base B: Kb = [BH⁺][OH⁻]/[B]. Conjugate pair: Ka × Kb = Kw = 10⁻¹⁴ at 25°C. pKa = -log(Ka).
-- NCERT Class 11 Chemistry, Ch. 6, p. 198Stronger acid → weaker conjugate base, and vice versa. pKa + pKb = 14.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Ka | acid dissociation | - |
| Kb | base dissociation | - |
| Kw | water 10^-14 | - |
More in Equilibrium: 8 exam traps and mistakes · 4 formulas · 3 question patterns from its other lessons.
No question in our NEET 2020–2025 set targets this topic directly.
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
ignores weak vs strong
Treats weak acid as fully dissociated
Page numbers are the ones printed in the current NCERT textbook (2023 rationalised edition), unless marked pre-2023. The books are free at ncert.nic.in.
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