Reverse-Engineering pKa from Buffers
The pKa value is the universal language of organic chemistry and biochemistry. It allows scientists to instantly understand whether a molecule will be protonated or deprotonated at physiological pH.
While pKa is usually looked up in textbook tables, you can experimentally determine the exact pKa of an unknown acid by creating a Buffer Solution and measuring its pH.
The Reverse Henderson-Hasselbalch
The Henderson-Hasselbalch equation is traditionally used to find the pH of a buffer. However, if you already know the concentrations of the acid and its conjugate base that you mixed together, and you measure the resulting pH with a meter, you can algebraically rearrange the equation to solve for the unknown pKa.
The Equation
Example Calculation
You create a buffer by mixing a 0.1 M weak acid with 0.15 M of its conjugate base salt. The pH meter reads 5.0.
- Find the Ratio [A⁻]/[HA]:
- Take the Logarithm of the Ratio:
- Subtract from measured pH:
- Result:
The calculated pKa of the unknown acid is . From this, you can also easily reverse the logarithm to find the raw Acid Dissociation Constant ().