Buffer pH Calculator Formula

Understand the math behind the buffer ph calculator. Each variable explained with a worked example.

Formulas Used

Buffer pH

ph = pka + log10(conc_base / conc_acid)

Base/Acid Ratio

ratio = conc_base / conc_acid

Variables

VariableDescriptionDefault
pkapKa of Weak Acid4.76
conc_baseConcentration of Conjugate Base [A⁻](M)0.1
conc_acidConcentration of Weak Acid [HA](M)0.1

How It Works

Henderson-Hasselbalch Equation

Formula

pH = pKa + log₁₀([A⁻] / [HA])

Where:

  • pH = hydrogen ion activity
  • pKa = acid dissociation constant (log scale)
  • [A⁻] = concentration of conjugate base
  • [HA] = concentration of weak acid
  • When [A⁻] = [HA], pH = pKa. Buffers resist pH changes best within ±1 of the pKa.

    Worked Example

    An acetate buffer with pKa = 4.76, [CH₃COO⁻] = 0.1 M, [CH₃COOH] = 0.1 M.

    pka = 4.76conc_base = 0.1conc_acid = 0.1
    1. 01pH = pKa + log₁₀([A⁻]/[HA])
    2. 02pH = 4.76 + log₁₀(0.1/0.1)
    3. 03pH = 4.76 + log₁₀(1)
    4. 04pH = 4.76 + 0
    5. 05pH = 4.76

    Frequently Asked Questions

    What is the Henderson-Hasselbalch equation?

    It relates the pH of a buffer solution to the pKa of the acid and the ratio of conjugate base to acid concentrations. It is derived from the Ka expression by taking logarithms.

    When is this equation most accurate?

    It works best when the buffer ratio [A⁻]/[HA] is between 0.1 and 10, i.e., within ±1 pH unit of the pKa.

    Can I use this for basic buffers?

    Yes. Use pKa of the conjugate acid, [A⁻] as the base form, and [HA] as the acid form of the buffer pair.

    Learn More

    Guide

    pH and pOH Guide

    Understand pH, pOH, and the pH scale. Learn how to calculate pH from hydrogen ion concentration, the relationship between pH and pOH, buffers, and real-world applications.

    Ready to run the numbers?

    Open Buffer pH Calculator