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. 28The 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 7, page 28).
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?
The degree of dissociation of a weak electrolyte increases when:
If Ka for a weak acid HA is 4.0 × 10⁻⁶ at 25 °C, what is Kb for its conjugate base A⁻?
The pH of a 0.01 M solution of a strong acid HX (monoprotic, fully dissociated) is:
A 0.1 M solution of a weak acid HA has Ka = 1.0 × 10⁻⁶. The approximate [H⁺] in the solution is:
For a conjugate acid-base pair at 25 °C, pKa + pKb equals:
0.1 M CH₃COOH has Ka = 1.8 × 10⁻⁵. Its degree of dissociation (α) is approximately:
The pH of a 0.04 M weak monoprotic acid (Ka = 1.0 × 10⁻⁴) is:
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.) ---
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. 28pH of acidic buffer in terms of conjugate base/acid concentrations. For basic buffer: pOH = pKb + log10([salt]/[base]).
| Symbol | Quantity | SI Unit |
|---|---|---|
| pKa | -log Ka | - |
| [salt] | conjugate base conc | mol/L |
| [acid] | weak acid conc | mol/L |
Stronger acid → weaker conjugate base, and vice versa. pKa + pKb = 14.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Ka | acid dissociation | - |
| Kb | base dissociation | - |
| Kw | water 10^-14 | - |
Convert between pressure-based and concentration-based equilibrium constants. T in K; R = 0.0821 L atm/mol/K (when K_p in atm).
| Symbol | Quantity | SI Unit |
|---|---|---|
| K_p | pressure constant | - |
| K_c | concentration constant | - |
| Δn | mole change | - |
Equilibrium constant for sparingly soluble salt. Q < K_sp: dissolves; Q > K_sp: precipitates.
| Symbol | Quantity | SI Unit |
|---|---|---|
| K_sp | solubility product | - |
Logarithmic acidity scale. Pure water at 25°C: pH = 7 = pOH.
| Symbol | Quantity | SI Unit |
|---|---|---|
| [H+] | hydrogen ion conc | mol/L |
| [OH-] | hydroxide conc | mol/L |
These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.
Category: Overthinking
Student claims catalyst shifts equilibrium toward products. Catalyst speeds up forward AND reverse equally; equilibrium position unchanged.
Question lists catalyst addition among options for shifting equilibrium.
Catalyst lowers activation energy of BOTH forward and reverse reactions equally. Time to reach equilibrium decreases; equilibrium position is unchanged.
Category: Sign Convention
Δn = (mol gas product) - (mol gas reactant). Sign matters; K_p = K_c (RT)^Δn.
Convert K_p ↔ K_c for gas-phase reaction.
Count moles of gas only (ignore solids/liquids). Δn = product - reactant. If Δn = 0, K_p = K_c. If Δn = +1, K_p = K_c × RT.
Category: Similar Terms
For salt M_aX_b: K_sp = [M⁺]^a [X⁻]^b. Student uses [M⁺][X⁻] regardless of stoichiometry.
K_sp problem with non-1:1 salt (e.g. CaF₂, Mg(OH)₂, Ag₂CrO₄).
Write dissolution: M_aX_b → aM + bX. Then K_sp = [M]^a · [X]^b. For CaF₂ ↔ Ca + 2F: K_sp = s · (2s)² = 4s³.
Root cause: concept gap
Catalyst speeds up forward AND reverse equally. Equilibrium position is unchanged. Time to reach equilibrium decreases.
Root cause: concept gap
Δn = (moles GAS product) - (moles GAS reactant). Solids and liquids excluded.
Root cause: formula misuse
For M_aX_b: K_sp = [M]^a · [X]^b. CaF₂: K_sp = s · (2s)² = 4s³.
Root cause: concept gap
Increase P → shift toward FEWER moles of gas. Decrease P → shift toward MORE moles. Reactions with same number of moles of gas: P doesn't shift equilibrium.
Root cause: concept gap
Weak acid: only fraction ionises. [H+] ≈ √(Ka · C). For 0.1 M acetic acid (Ka ~10⁻⁵): [H+] ~10⁻³ (pH ~3), not 1 (pH=1).
15 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
C [A] = [B] = [C] = 2 × 10–3 M. Then, which of the following is correct?
Amongst the given options which of the following molecules/ ion acts as a Lewis acid?
Which complex compound is most stable?
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
wrong delta n sign
Counts moles incorrectly
treats catalyst as shifting
Believes catalyst shifts equilibrium
ignores weak vs strong
Treats weak acid as fully dissociated
forgets stoichiometric coefficient power
Uses [M+]^1 [X-]^1 for M(X)_2 salt
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