Biological systems are extremely sensitive to pH, with even small fluctuations affecting enzyme activity, molecular stability, and cellular communication. Buffer solutions are designed to resist drastic pH changes when acids or bases are added, helping maintain a stable environment for biochemical reactions. Whether you are preparing cell culture media or a PCR master mix, knowing the pH of your buffer is crucial for success. This calculator uses the Henderson-Hasselbalch equation to estimate pH based on the concentrations of acid and conjugate base in your solution.
The Henderson-Hasselbalch equation derives from the acid dissociation equilibrium. It relates the pH of a buffer to the pKa of the acid and the ratio of conjugate base to acid concentrations. In MathML form it appears as
When [A-] equals [HA], the log term becomes zero and the pH equals the pKa. Adjusting the ratio of base to acid lets you fine-tune the pH to your desired value, making this equation an indispensable tool in the lab.
Begin by entering the pKa of the buffering acid. Next, provide the molar concentrations of the acid form (HA) and the conjugate base (A-). When you click Calculate, the script applies the Henderson-Hasselbalch equation and reports the estimated pH as well as the base-to-acid ratio. If you discover your pH is off from the target, adjust the concentrations and recalculate until the result meets your needs.
The table shows how common laboratory buffers behave at different ratios. Each example assumes 0.05 M acid with varying amounts of conjugate base.
Buffer system | pKa | [A-] (M) | [HA] (M) | Expected pH |
---|---|---|---|---|
Acetic acid / acetate | 4.76 | 0.05 | 0.05 | 4.76 |
Phosphate (H2PO4-/HPO42-) | 7.21 | 0.10 | 0.05 | 7.51 |
Tris base / Tris-HCl | 8.06 | 0.03 | 0.05 | 7.67 |
When adjusting pH in the lab, add small amounts of strong acid or base while stirring and measure frequently with a calibrated pH meter. Temperature can affect pH, so calibrate your meter at or near the temperature you will be working at. It is wise to prepare slightly more buffer than you need, in case minor tweaks become necessary. This calculator provides a starting point, but real-world measurements are key to final accuracy.
Buffers are important outside of biology as well. Environmental scientists analyze natural waters using buffer systems to stabilize samples, while chemical manufacturing often requires precise pH control to ensure consistent reactions. Because the Henderson-Hasselbalch equation applies universally, this calculator serves a broad audience wherever acid-base equilibria are important.
Build out your protocol with the Acid-Base Titration Calculator, Buffer Capacity Calculator, and Hydroponic pH Adjustment Calculator for more ways to tune solution chemistry.