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Buffer Solution Calculator

Estimate the pH and composition of a buffer solution from its acid strength and conjugate acid-base concentrations. Enter all concentrations in molarity (M).

Buffer pH
4.76
Base-to-acid ratio
1.00
Total buffer concentration
0.200 M

The calculator uses the Henderson-Hasselbalch equation, pH = pKa + log10([A−]/[HA]), and sums the acid and conjugate base concentrations for total buffer concentration.

Source: Henderson-Hasselbalch equation for a weak acid buffer.

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Written by
Inchs Calculator Team
Editorial Team

A buffer solution helps keep pH relatively stable when small amounts of acid or base are added. This calculator estimates the buffer pH, compares the conjugate base and weak acid concentrations, and reports their combined concentration. It is intended for weak acid and conjugate base pairs under ordinary laboratory conditions.

How to Calculate Buffer Solution pH (step by step)

Step One: Compare the conjugate base with the weak acid

The Henderson-Hasselbalch equation depends on the ratio of conjugate base concentration to weak acid concentration.

Base-to-acid ratio = conjugate base concentration ÷ weak acid concentration
Base-to-acid ratio = 0.100 M ÷ 0.100 M = 1.00

A ratio of 1 means the solution contains equal concentrations of the acid and its conjugate base.

Step Two: Calculate the buffer pH

Add the base-10 logarithm of the concentration ratio to the acid’s pKa.

pH = pKa + log10(base-to-acid ratio)
pH = 4.76 + log10(1.00) = 4.76

Because the ratio is exactly 1, its logarithm is zero, so the buffer pH equals the pKa.

Step Three: Add the buffer components

The total buffer concentration is the sum of the weak acid and conjugate base concentrations.

Total concentration = weak acid concentration + conjugate base concentration
Total concentration = 0.100 M + 0.100 M = 0.200 M

This value describes how much of the two buffering components is present, not the solution’s pH.

What your results mean

The buffer pH estimates the hydrogen-ion environment of the solution. A pH near the weak acid’s pKa usually indicates effective buffering because both forms are present in useful amounts. Buffers generally work best within about one pH unit above or below the pKa.

The base-to-acid ratio shows which component is more abundant. A value above 1 means the conjugate base dominates and the pH is above the pKa. A value below 1 means the weak acid dominates and the pH is below the pKa.

The total buffer concentration is useful when preparing solutions or comparing buffer capacity. Two buffers can have the same pH but different total concentrations: the more concentrated one typically neutralizes more added acid or base before its pH changes substantially.

Important assumptions

Use concentrations in the same units, such as molarity for both inputs. The equation assumes the acid and conjugate base are the relevant buffering pair and that activity effects are small. At high concentrations, extreme pH values, or substantial ionic strength, measured pH can differ from this ideal estimate. For preparation work, account separately for dilution, purity, hydrates, and the actual volume of solvent.

This calculator estimates equilibrium pH; it does not determine the amount of strong acid or strong base needed to adjust an existing solution after mixing.

About the formula: The calculator uses the Henderson-Hasselbalch equation, pH = pKa + log10([A−]/[HA]), and sums the acid and conjugate base concentrations for total buffer concentration.

Frequently Asked Questions

What does a buffer solution do?+

A buffer resists large pH changes when small amounts of acid or base are added. It generally contains a weak acid and its conjugate base.

Why does equal acid and base concentration make pH equal to pKa?+

When the conjugate base and weak acid concentrations are equal, their ratio is 1 and log10(1) is 0. The equation therefore reduces to pH = pKa.

Does a higher total concentration change the buffer pH?+

Not by itself. If the acid-to-base ratio stays the same, pH stays the same, although the more concentrated buffer usually has greater resistance to added acid or base.

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