TFT

Henderson-Hasselbalch Calculator – Buffer pH Made Easy

Calculate the pH of buffer solutions using the Henderson-Hasselbalch equation. Enter pKa, acid concentration, and conjugate base concentration to get precise buffer pH values. Ideal for biochemistry, pharmacology, and analytical chemistry.

What is the Henderson-Hasselbalch Equation?

The Henderson-Hasselbalch equation calculates the pH of a buffer solution. A buffer resists pH changes when you add small amounts of acid or base. The equation relates pH to the pKa of the weak acid and the ratio of conjugate base to acid concentrations.

Henderson-Hasselbalch Equation

pH = pKa + log₁₀([A⁻]/[HA])

Where:

  • pH = Acidity of the buffer solution
  • pKa = Acid dissociation constant (negative log of Ka)
  • [A⁻] = Concentration of conjugate base (mol/L)
  • [HA] = Concentration of weak acid (mol/L)

Buffer Capacity

A buffer works best when pH equals pKa. At this point, [A⁻] = [HA] and the ratio equals 1. The log of 1 is 0, so pH = pKa. Buffers maintain effective pH control within ±1 pH unit of the pKa value.

Ratio [A⁻]/[HA]log(Ratio)pH relative to pKaBuffer Effectiveness
0.1-1pKa - 1Minimum effective
0.5-0.3pKa - 0.3Good
10pKaOptimal
20.3pKa + 0.3Good
101pKa + 1Minimum effective

Example Calculation

You prepare an acetate buffer with 0.1 M acetic acid (pKa = 4.76) and 0.1 M sodium acetate. The ratio [A⁻]/[HA] = 0.1/0.1 = 1. Since log(1) = 0, pH = 4.76 + 0 = 4.76.

pH vs Base/Acid Ratio Graph
How buffer pH changes with the ratio of conjugate base to acid

Enter values and calculate to see the graph

Common Buffer Systems
Buffer SystempKaEffective pH RangeApplications
Acetate (CH₃COOH/CH₃COO⁻)4.763.76 - 5.76Biochemistry, food preservation
Phosphate (H₂PO₄⁻/HPO₄²⁻)7.216.21 - 8.21Cell culture, biological systems
Carbonate (HCO₃⁻/CO₃²⁻)10.339.33 - 11.33Blood buffering, water treatment
Tris (Tris-HCl)8.077.07 - 9.07Molecular biology, protein work
Citrate3.13, 4.76, 6.402.13 - 7.40Food industry, pharmaceuticals
Buffer Applications
  • Maintaining blood pH at 7.4 in living organisms
  • Controlling pH in fermentation processes
  • Stabilizing enzyme activity in biochemical assays
  • Calibrating pH meters with standard buffers
  • Formulating pharmaceutical products
  • Water quality management in aquariums