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Buffer
A solution containing both members of a weak conjugate pair (HA/A⁻ or B/BH⁺) that resists pH change.
Conjugate Pair
A weak acid and its conjugate base (HA/A⁻) or a weak base and its conjugate acid (B/BH⁺).
Henderson–Hasselbalch Equation (acid form)
pH = pKa + log([A⁻]/[HA])
Henderson–Hasselbalch Equation (base form)
pOH = pKb + log([BH⁺]/[B])
Half-Equivalence Point
The point in a titration where [acid] = [conjugate base]; pH = pKa.
Buffer Region
The section of a titration curve before equivalence where both acid and conjugate base coexist.
Relationship Between Weak Acid and Strong Base Titration
Before equivalence → HA/A⁻ buffer; at half-equivalence → pH = pKa.
Relationship Between Weak Base and Strong Acid Titration
Before equivalence → B/BH⁺ buffer; at half-equivalence → pH = 14 − pKb.
Buffer Capacity
The amount of strong acid or base a buffer can neutralize before its pH changes significantly.
Limiting Factor for Buffer Capacity
The number of moles of each buffer component (acid/base); once one is used up, buffering stops.
When Adding Strong Acid to a Buffer
H⁺ reacts with and consumes the conjugate base A⁻, forming more HA.
When Adding Strong Base to a Buffer
OH⁻ reacts with and consumes HA, forming more A⁻.
Condition for Maximum Buffer Capacity
When [HA] ≈ [A⁻]; at the half-equivalence point.
Effect of Concentration on Buffer Capacity
Higher total concentrations increase capacity; dilute buffers have low capacity.
Recognizing a Buffer after Neutralization
A weak acid/base and its conjugate coexist in the same beaker after partial neutralization.
Forming a Buffer from Mixing
A weak acid + its conjugate base (like HCOOH + NaHCOO) or a weak base + its conjugate acid (NH₃ + NH₄Cl).
Buffer Formed During Titration
Stopping before equivalence in a weak acid–strong base or weak base–strong acid titration.
Buffer Breakdown Beyond Equivalence
Point where one conjugate partner is gone; only one species controls pH.
Buffer Check Question
Do I have a weak species and its conjugate in meaningful amounts? If yes → buffer.
NH₄⁺ and F⁻ Mixture
Not a buffer; they are not conjugate to each other.
HCOOH and HCOONa Mixture
A buffer; formic acid and formate are conjugate acid–base pair.
Effective Buffer Ratio Range
[A⁻]/[HA] between 0.1 and 10 gives effective buffering.
pH of Buffer with Base:Acid Ratio 2
pH = pKa + log(2) ≈ pKa + 0.30.
Condition for Buffer Formation after Neutralization
Weak acid/base and its conjugate remain after strong acid/base reaction.
Buffer Example with Ba(OH)₂ and Acetic Acid
Ba(OH)₂ neutralizes half of the weak acid → leaves HA and A⁻ → buffer formed.
Mixture of Weak Acid and Weak Base from Different Systems
Not a buffer; no conjugate relationship.
H₂SO₃ and NH₃ Reaction
All NH₃ consumed → no conjugate pair remains → not a buffer.
(CH₃)₂NH₂⁺ + HCl Mixture
Two acids, no weak base → not a buffer.
Polyprotic Acid
An acid that can donate more than one proton (e.g., H₂SO₄, H₃PO₄, H₂CO₃).
Diprotic Acid
Can donate two protons (e