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Explore the role of ph in cellular processes and learn about buffers through a practical laboratory experiment. An introduction to the concept of ph control, the function of buffers, and the use of the henderson-hasselbalch equation in analyzing buffer capacity. Students will titrate buffered solutions and observe the relationship between ph and pka.
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Introduction
The control of pH is important in organisms and their cells because chemical reactions and processes are affected by the hydrogen ion concentration. For example, enzyme function is affected by the ambient pH. Some side chains of amino acids (R- groups) have ionizable groups like carboxyl or amine groups. Changes in pH can alter the number of positively and negatively charged groups. The net charge on the protein effects its three dimensional structure and thus the enzymatic activity. When working with living systems in a laboratory it is necessary to pay close attention to the pH of solutions for these same reasons. Buffers are chemicals or combinations of chemicals that tend to prevent changes in the concentration of hydrogen ions. In this laboratory we will titrate some buffered solutions to gain an understanding of how buffers work and to observe the range of buffering capacity. In analyzing the data, we will make use of graphs and see the relationship of pH to pKa using the Henderson-Hasselbalch equation.
Buffers are composed of mixtures of weak acids and their corresponding salts. Using the Lowry- Bronstead definition, an acid is a compound that can donate a hydrogen ion. A weak acid is one that does not completely ionize, or dissociate, in solution. The extent of dissociation is given by the equilibrium constant Ka for the reaction:
HA ↔ H+^ + A– The equilibrium constant for the ionization of this acid is then:
Ka = [H+^ ][A–]/[HA]
This is the measure of the ease with which the acid donates its hydrogen ion. Higher Ka ’s indicate that the acid will dissociate more completely into ions.
The equilibrium constant equation may also be used to determine the hydrogen ion concentration:
[H+] = (Ka )([HA]/[A–^ ]. And, since pH = –log[H+^ ] and pKa = –log Ka , then, pH = pKa + log([A–^ ]/[HA]) This last equation is the Henderson-Hasselbalch equation. It reveals the relationship of pH and pKa. Remember that pH is a measure of the acidity of a solution while pKa is a measure of the affinity of a molecule for its proton. The former can be altered by various means, but the latter is an inherent property of a molecule. See the following table for pKa ’s of some biologically important substances.
pKa Values of selected acids at 25°C Acetic acid 4. Carbonic acid 6.36 10. Citric acid 3.13 4.76 6. Glutamic acid 2.16 4.27 9. Glycine 2.35 9. Lysine 2.18 8.95 10. Phosphoric acid 2.18 7.20 12. Succinic acid 3.46 5.
The Henderson-Hasselbalch equation permits the calculation of the pH from the ratio of the salt to the acid. Notice that the pH is equal to the pKa when the salt and the acid are equal in concentration. If H+^ is added to such a solution, the acid concentra- tion increases while the salt concentration decreases and the pH is lowered. Conversely, if OH–^ is added, the salt concentration increases while the acid concentration decreases and the pH of the buffer mixture is raised. The assignment of the appropriate pKa to the correct step in the ionizaton of a polybasic acid can be thought of in the following terms. The first H+^ to be donated by an acid is the one which is most weakly bound and is the one which will be released
at the lowest pKa. This first step, therefore, is the one with the lowest pKa. All subsequent hydrogen ions that ionize from the acid will be released at higher pH’s and these successive equilibria will occur with successively higher pKa’s. For example, consider the case of phosphoric acid:
H 3 PO 4 ↔ H+^ + H 2 PO 4 -1^ pK = 2. H 2 PO 4 -1^ ↔ H+^ + HPO 4 -2^ pK = 7. HPO 4 -2^ ↔ H+^ + PO 4 -3^ pK = 12.
When the concentration of H 3 PO 4 equals the concentration of H 2 PO 4 -1, then pH = pKa = 2.18, which is a very acidic solution. When the concen- tration of HPO 4 -2^ equals the concentration of PO 4 -3^ , then pH = pKa = 12.40, which is a very basic solution. The first H+^ ionizes in the acid solution; the last H+^ is not removed until the solution is very basic or low in H+^ concentration. Hydrogen ion concentration is usually measured with a pH meter, a glass electrode and a reference electrode. The pH meter is a potentiometer, capable of accurately measuring small electrical potential differences. The glass electrode consists of a thin bubble of soft glass that contains a solution of KCl and acetic acid in which a platinum wire is immersed. An electrical potential is developed across the glass bubble, which is proportional to hydrogen ion concentration. The reference electrode is simply used as a standard against which the glass electrode can be compared. In practice, the pH meter and electrodes are calibrated against a buffer solution of known pH and potential differences are read directly in units of pH.
Overview of the Lab Exercise
First you will learn about the general operating techniques used with a pH meter and calibrate the meter at pH 10. Then a 20 ml sample of Na 3 PO 4 will be titrated after setting up the burette, the stirrer and the electrode. The meter will be recalibrated twice with pH 7 and later pH 4 standard buffers as the pH of the phosphate solution drops. After the phosphate titration, either glycine or glutamate will be titrated. Because these solutions are near neutral
pH, the pH meter will be calibrated at first with the pH 7 standard buffer. Also, to cover the entire pH scale, two samples must be titrated, one with HCl and the second with NaOH.
Operation of the pH Meter
glutamate. Note that in the following directions glycine will be used for the example; the same procedures will be used for glutamate.
Clean-Up Procedures
Data Analysis
Sample pH Problems
This laboratory exercise is adapted from Exercises in Cell Biology by A. A. Parsons and H.C. Schapiro, McGraw-Hill, 1975.