pH Calculator - Henderson-Hasselbalch
Titration Curve: pH vs Volume (Buffer Region Marked)
Molecular View: Conjugate Pair Animation
Buffer Capacity (β)
Buffer Solution Controls
Buffer Parameters
Acid/Base Addition (Test Buffer Capacity)
Common Buffer Systems
Titration Simulation
Buffer Solution Equations
What is a Buffer Solution?
A buffer solution is a solution that resists changes in pH when small amounts of acid or base are added. It consists of a weak acid (HA) and its conjugate base (A⁻), or a weak base and its conjugate acid. The buffer capacity is maximum when the concentrations of the acid and conjugate base are equal ([HA] = [A⁻]), which occurs when pH = pKa.
Henderson-Hasselbalch Equation
The Equation: pH = pKa + log([A⁻]/[HA]) relates buffer pH to pKa and concentration ratio.
When [A⁻] = [HA]: Ratio is 1, log(1) = 0, so pH = pKa (maximum buffer capacity).
Buffer Range: Effective buffers work within ±1 pH unit of pKa (ratio 0.1 to 10).
Practical Use: Calculate buffer pH or determine ratio for desired pH.
Buffer Capacity (β)
Definition: Quantifies acid/base a buffer can neutralize before significant pH change.
Formula: β = 2.303 × [H⁺] × [A⁻] / ([H⁺] + [A⁻]).
Maximum Capacity: At pH = pKa when [HA] = [A⁻]. Higher concentration increases capacity.
Practical Implication: Stronger buffers resist larger pH changes.
Buffer Mechanism
Adding Acid (H⁺): A⁻ neutralizes added H⁺: A⁻ + H⁺ → HA.
Adding Base (OH⁻): HA neutralizes added OH⁻: HA + OH⁻ → A⁻ + H₂O.
Le Chatelier's Principle: Equilibrium shifts to counteract disturbances.
Limitation: Buffer capacity is finite - once HA or A⁻ is depleted, pH changes rapidly.
Biological Buffer Systems
Blood Buffering: Multiple systems maintain pH ≈ 7.4. Bicarbonate buffer (H₂CO₃/HCO₃⁻, pKa ≈ 6.1) is most important.
Phosphate Buffer: H₂PO₄⁻/HPO₄²⁻ (pKa ≈ 7.2) buffers intracellular fluid.
Protein Buffers: Amino acid side chains act as buffers in proteins.
Clinical Significance: Acid-base imbalances occur when buffer systems are overwhelmed.
Real-World Applications
Laboratory Use: Calibrate pH meters, maintain enzyme activity, control reaction conditions.
Pharmaceuticals: Buffered formulations for drug stability.
Food Industry: Control pH in processed foods and beverages.
Water Treatment: Maintain optimal pH for treatment processes.
Agriculture: Soil buffers affect nutrient availability.
Buffer Preparation
Choosing pKa: Select weak acid with pKa within ±1 of desired pH.
Calculating Ratio: Use Henderson-Hasselbalch to determine [A⁻]/[HA] ratio.
Concentration: Higher concentrations (0.01-1.0 M) provide greater capacity.
Common Buffers: Acetate (pH 3.6-5.6), phosphate (pH 5.8-8.0), TRIS (pH 7.0-9.0).