Henderson-Hasselbalch Calculator
Calculate buffer pH using the Henderson-Hasselbalch equation. Determine pH from pKa and concentration ratio, or solve for any variable. Includes buffer capacity and common buffer recipes.
Calculate volumes, concentrations, and heat of neutralization for acid-base reactions. Supports strong/strong, strong/weak, and polyprotic acid reactions with stoichiometry.
| Acid Type | Base Type | Eq. pH | Example | Indicator |
|---|---|---|---|---|
| Strong | Strong | 7.0 | HCl + NaOH | Bromothymol blue |
| Weak | Strong | ~8.7 | CH₃COOH + NaOH | Phenolphthalein |
| Strong | Weak | ~5.3 | HCl + NH₃ | Methyl orange |
| Weak | Weak | ~7.0 | CH₃COOH + NH₃ | Difficult to titrate |
Neutralization reactions are fundamental acid-base reactions where an acid combines with a base to form water and a salt. The key relationship MₐVₐnₐ = MᵦVᵦnᵦ (where M is molarity, V is volume, and n is the number of equivalents) lets you calculate the unknown quantity in any neutralization.
For strong acid + strong base reactions, the heat of neutralization is approximately −57.1 kJ/mol (for the formation of one mole of water). Weak acid or weak base reactions differ because part of the energy is used to push the dissociation equilibrium. The final pH at the equivalence point depends on whether the salt is from a strong-strong pair (pH 7), strong acid/weak base (pH < 7), or weak acid/strong base (pH > 7).
This calculator handles monoprotic and polyprotic acid-base neutralization, calculates volumes and concentrations at the equivalence point, determines the heat released, and shows the pH at the equivalence point for various acid-base combinations. Preset reactions for common laboratory titrations are included.
Calculate volumes and concentrations for acid-base titrations, predict equivalence point pH, and determine heat of neutralization. Covers strong/weak and polyprotic systems.
Neutralization: MₐVₐnₐ = MᵦVᵦnᵦ
For monoprotic: MₐVₐ = MᵦVᵦ
For diprotic acid + monobasic base: MₐVₐ × 2 = MᵦVᵦ
Heat of neutralization (strong/strong): ΔH = -57.1 kJ/mol H₂O formed
Temperature change: ΔT = q / (m × c_p)
Equivalence point pH:
Strong/Strong → pH = 7
Weak acid/Strong base → pH > 7
Strong acid/Weak base → pH < 7Result: 50 mL base needed, ΔH = -0.285 kJ
For 0.1 M HCl (50 mL) + 0.1 M NaOH: V_base = (0.1 × 50) / 0.1 = 50 mL. Moles of water formed = 0.005 mol. Heat released = 0.005 × 57.1 = 0.285 kJ. Equivalence pH = 7.00.
Strong acid + strong base (HCl + NaOH) produces a neutral salt in solution. Weak acid + strong base (CH₃COOH + NaOH) produces a basic salt (CH₃COONa). Strong acid + weak base (HCl + NH₃) produces an acidic salt (NH₄Cl). All three types have different equivalence point pH values and require different indicators.
The standard enthalpy of neutralization is −57.1 kJ/mol for strong acid + strong base. This value is remarkably constant regardless of which strong acid or base is used, confirming that the reaction is simply H⁺ + OH⁻ → H₂O. Deviations for weak acids/bases reflect the enthalpy of dissociation of the weak component.
Neutralization is used in wastewater treatment (adjusting pH before discharge), antacid medications (CaCO₃ or Al(OH)₃ neutralizing stomach acid), agriculture (liming acidic soils with CaCO₃), and chemical manufacturing (producing salts like NaCl, Na₂SO₄, and ammonium nitrate).
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Only strong acid + strong base gives pH 7. If the conjugate of the weak partner is formed, it hydrolyzes: the conjugate base of a weak acid raises pH, the conjugate acid of a weak base lowers pH.
The equivalence point is the theoretical stoichiometric point. The endpoint is where the indicator changes color, ideally matching the equivalence point but not always exactly.
Each proton has its own equivalence point. H₂SO₄ needs twice as many moles of NaOH as HCl. H₃PO₄ has three equivalence points.
Weak acid + strong base: ΔH ≈ -55 to -57 kJ/mol (slightly less exothermic because energy is used to complete the dissociation). The exact value depends on the specific acid.
The formation of water from H⁺ and OH⁻ is highly exothermic: H⁺(aq) + OH⁻(aq) → H₂O(l), ΔH = -57.1 kJ/mol. This is independent of which strong acid or base is used.
Simple coffee-cup calorimetry typically gives 10-15% error. Bomb calorimetry is more precise but not usually needed for aqueous reactions in dilute solution.
Calculate buffer pH using the Henderson-Hasselbalch equation. Determine pH from pKa and concentration ratio, or solve for any variable. Includes buffer capacity and common buffer recipes.
Calculate pH, pOH, [H⁺], and [OH⁻] from any one value. Includes strong/weak acid-base calculations, dilution, and a visual pH scale with common substance comparisons.
Calculate degrees of freedom using Gibbs Phase Rule (F = C - P + 2). Determine variance for any system with multiple components and phases, with interactive phase diagram examples.