Blood, Sweat, and Buffers: pH Regulation During Exercise
Acid-Base Equilibria Experiment
Authors: Rachel Casiday and Regina Frey
Revised by: A. Manglik, C. Markham, K. Castillo, K. Mao, and R. Frey
For information or comments on this tutorial, please contact Kit Mao, firstname.lastname@example.org
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Many people today are interested in exercise as a way of improving their health and physical abilities. When we exercise, our heart rate, systolic blood pressure, and cardiac output (the amount of blood pumped per heart beat) all increase. Blood flow to the heart, the muscles, and the skin increase. The body's metabolism becomes more active, producing CO2 and H+ in the muscles. We breathe faster and deeper to supply the oxygen required by this increased metabolism. With strenuous exercise, our body's metabolism exceeds the oxygen supply and begins to use alternate biochemical processes that do not require oxygen. These processes generate lactic acid, which enters the blood stream. As we develop a long-term habit of exercise, our cardiac output and lung capacity increase, even when we are at rest, so that we can exercise longer and harder than before. Over time, the amount of muscle in the body increases, and fat is burned as its energy is needed to help fuel the body's increased metabolism.
Figure 1This figure highlights some of the major acute (short-term) effects on the body during exercise.
During exercise, the muscles use up oxygen as they convert the chemical energy in glucose to mechanical energy. This O2 comes from hemoglobin in the blood. CO2 and H+ are produced during the breakdown of glucose, and they are removed from the muscles via the blood. The production and removal of CO2 and H+, together with the use and transport of O2, cause chemical changes in the blood. These chemical changes, unless offset by other physiological functions, cause the pH of the blood to drop. If the pH of the body gets too low (below pH 7.4), a condition known as acidosis results. This can be very serious because many of the chemical reactions that occur in the body, especially those involving proteins, are pH-dependent. Ideally, the pH of the blood should be maintained at 7.4. If the pH drops below 6.8 or rises above 7.8, death may occur. Fortunately, we have buffers in the blood to protect against large changes in pH.
All cells in the body continually exchange chemicals ( e.g.,nutrients, waste products, and ions) with the external fluid surrounding them (Figure 2). This external fluid, in turn, exchanges chemicals with the blood being pumped throughout the body. Diffusion through membrane channels is a dominant mode of exchange between these fluids (cellular fluid, external fluid, and blood). The diffusion is due to a concentration gradient associated with the contents of the fluids. Hence, the chemical composition of the blood (and therefore of the external fluid) is extremely important for the cell. If, for instance, the pH of the blood and external fluid is too low (too many H+ ions), then an excess of H+ ions will enter the cell and disrupt normal chemical processes. In order to maintain the proper chemical composition inside the cells, the chemical composition of the fluids outside the cells must be kept relatively constant. This constancy is known in biology as homeostasis.
Figure 2This is a schematic diagram showing the flow of species across membranes between the cells, the extracellular fluid, and the blood in the capillaries.
The body has a wide array of mechanisms to maintain homeostasis in the blood and extracellular fluid. The most important way that the pH of the blood is kept relatively constant is by buffers dissolved in the blood. Other organs help enhance the homeostatic function of the buffers. For example, the kidneys remove H+ ions and other components of the pH buffers that build up in excess. Acidosis that results from failure of the kidneys to perform this excretory function is known as metabolic acidosis. On the other hand, acute acidosis is a condition that results from a sudden decrease in pH ( e.g., during exercise). This occurs because excretion by the kidneys is a process that takes too long to prevent acute acidosis. The lungs provide a faster way to help control the pH of the blood. In response to exercise, the body increases its breathing rate which helps to counteract the pH- lowering effects of exercise by removing CO2, a component of the principal pH buffer in the blood. Acidosis that results from failure of the lungs to eliminate CO2 as fast as it is produced is known as respiratory acidosis.
The kidneys and the lungs work together to help maintain a blood pH of 7.4 by affecting the components of the buffers in the blood. To understand how these organs help control the pH of the blood, we must first discuss how buffers work in solution.
Acid-base buffers confer resistance to a change in the pH of a solution when hydrogen ions (protons) or hydroxide ions are added or removed. An acid-base buffer consists of a weak acid and its conjugate base (from a salt) or a weak base and its conjugate acid (from a salt). A buffer works because it contains a substantial amount of a weak acid and a weak base (the conjugate acid-base pair) at equilibrium with each other. When protons (from an external source) are added to the buffer, some of the base component of the buffer will react with the protons and turn into the conjugate acid (which is the weak-acid component of the buffer) and thus neutralizing most of the protons added. When hydroxide ions are added (or, equivalently, when protons are removed from the buffer), some of the weak-acid component of the buffer will dissociate and turn into the conjugate base (which is the weak-base component of the buffer) thus replenishing most of the protons removed. Hence, adding a small amount of acid or base to a buffer solution merely changes the ratio of the conjugate acid and conjugate base in an acid-base equilibrium. Thus, the effect on the pH of the solution is small, within certain limitations of the amount of H+or OH- added or removed. Some fundamental acid-base concepts are summarized in the box below.
Recap of Fundamental Acid-Base Concepts
Dissociation of Water and the p-Scale
Water molecules dissociate to form H+ and OH- ions:
H2O (l) H+ (aq) + OH- (aq)or 2H2O (l) H3O+ (aq) + OH- (aq)
H+ ions in water are surrounded by many water molecules, symbolically, we use H3O+ to represent a solvated proton, where [H+] = [H3O+]. Using the Law of Mass Action, the equilibrium constant for the dissociation reaction of water can be written as:
H2O is not included in the equilibrium-constant expression because it is a pure liquid. Like all the equilibrium constants, Kw is a function of temperature only, not affected by the concentrations of H+ and OH- ions. In a neutral solution, the concentrations of H+ and OH- equal each other. If [H+] increases (in the situation of an acidic solution), [ OH-] will decrease such that their product equals to the constant Kw.
A p-Scale is defined to express small values:
px º- log [x]
Therefore, pH º - log [H+] = - log [H3O+], and pOH = - log [ OH-]
From Eq. (1) pKw = pH + pOH
According to the common Bronstead-Lowry definition, an acid (HA) is a chemical species that can donate a proton (H+), and a base is a species that can accept (gain) a proton. The conjugate base of an acid is the species formed after the acid loses a proton (A-); the conjugate base can then gain a proton to return to the acid. In solution, these two species (the acid and its conjugate base) exist in equilibrium as illustrated by Eq. (2). Similarly, a base (B) can gain a proton from water and exists in equilibrium with its conjugate acid (HB+) as illustrated by Eq. (3).
For simplicity, the dissociation of a weak acid can also be expressed by Eq.(4).
Using the Law of Mass Action, the equilibrium constants for the dissociation of a weak acid and a weak base in equations (2) and (3), known as Ka and Kb, are defined as:
pH of Buffer Solutions
In a weak-acid solution, the concentration of the dissociated species, (that is, the conjugate base A-) is typically small compared to the un-dissociated HA molecules; similarly, [BH+] is small compared to [B] in a weak base solution. A buffer solution contains a weak acid and a substantial amount of its conjugate base from a soluble salt (that is, the concentrations of HA and A- are comparable), or a weak base and a substantial amount of its conjugate acid from a soluble salt (in which, [B] and [HB+] are comparable.).
We can derive a convenient equation for calculating the pH of a buffer solution. Taking the logarithm of each side of Equation (5) gives:
Note that [HA] and [A-] are the concentrations of the weak acid and its conjugate base at equilibrium. Since the dissociation of a weak acid is typically very small, we can assume that [HA] and [A-] are similar to the initial concentrations, [HA]i and [A-]i. Equation 8 is known as the Henderson-Hasselbalch Equation. This equation shows that the pH of a buffer solution is very close to the pKa value of the weak acid making the buffer. This is because the logarithm term will be small unless the concentrations of A- and HA differ by several orders of magnitude.
For a basic buffer consisting of a weak base and its conjugate acid, one can begin with Eq.(6) and follow similar derivation steps to obtain:
By far the most important buffer for maintaining acid-base balance in the blood is the carbonic acid-bicarbonate buffer. The dissolved carbon dioxide and bicarbonate ion are at equilibrium (Eq. 10). We are interested in the change in the pH of the blood; therefore, we want an expression for the concentration of H+ in terms of an equilibrium constant and the concentrations of the other species in the reaction (HCO3-, H2CO3, and CO2).
The equilibrium on the right is an acid-base reaction where carbonic acid is the acid and water is the base. The conjugate base for H2CO3 is HCO3- (bicarbonate ion). The equilibrium on the left is the association of the dissolved carbon dioxide with a water molecule to form carbonic acid. This equilibrium favors the CO2 side; hence, the concentration of H2CO3 in solution is very small. Since both reactions are at equilibrium, we can simplify Eq. (10) by removing the middle step.
|One can see that|
Remember, we are doing all these simplifications to obtain an equation that tells us how the concentrations of carbon dioxide and bicarbonate affect the pH of our blood. Starting from Equation (12), and following the steps of how Henderson-Hasselbalch Equation is derived from Eq. (5) in the blue box, we can obtain an equation that relates the concentrations of CO2 and HCO3- to the pH in the blood (try the algebra on your own to make sure you are comfortable with it):
At normal body temperature, the value of pK is 6.1. Notice that Equation (13) is in a similar form to the Henderson-Hasselbalch Equation. However, Equation (13) does not meet the strict definition of a Henderson-Hasselbalch equation because this equation takes into account a non-acid-base reaction ( i.e., the association of dissolved carbon dioxide and water). Nonetheless, the relationship shown in Equation 11 is frequently referred to as the Henderson-Hasselbalch Equation for the buffer in physiological applications.
Equation (13) shows that the pH of the buffered solution (the blood) is dependent only on the ratio of the amount of CO2to the amount of HCO3-(at a given temperature, so that pK remains constant). This ratio remains relatively constant because the concentrations of both buffer components (HCO3- and CO2) are very large compared to the amount of H+ added to the blood during normal activities and moderate exercise. When H+ is added to the blood as a result of metabolic processes, the amount of HCO3- (relative to the amount of CO2) decreases; however, the change is tiny compared to the amount of HCO3- present in the blood.
In this plot, the vertical axis shows the pH of the buffered solution (in this case, the blood). The horizontal axis shows the composition of the buffer. On the left-hand side of the plot, most of the buffer is in the form of dissolved carbon dioxide, and on the right-hand side of the plot, most of the buffer is in the form of bicarbonate ion. Note that as acid is added, the pH decreases and the buffer shifts toward greater H2CO3 and CO2 concentration. Conversely, as base is added, the pH increases and the buffer shifts toward greater HCO3- concentration (Equation 10 ).
Hence, the physiological blood pH of 7.4 is outside the optimal buffering range of the carbonic acid-bicarbonate buffer. The addition of protons to the blood due to strenuous exercise may be too great for the buffer alone to effectively control the blood’s pH. When this happens, other organs must help control the amounts of CO2 and HCO 3 - in the blood. The lungs remove excess CO2 from the blood (helping to raise the pH as equilibria in Eq.10 shift to the left as predicted by the Le Chatelier’s Principle). When the pH of the body is excessively high (a condition known as alkalosis), the kidneys remove bicarbonate ion (HCO3-) from the blood (helping to lower the pH as equilibria in Eq. 10 shift to the right).
Figure 4This diagram shows the diffusion directions for H+, CO2, and O2 between the blood and the muscle cells during exercise. The resulting concentration changes affect the buffer equilibria, shown in the upper right-hand corner of the diagram (yellow).
The following steps outline the processes that affect the buffers in the blood during exercise.
The body has developed finely tuned chemical processes based on buffering and acid-base equilibria that work in combination to handle the changes that exercise produces.
Brown, Lemay, and Bursten. Chemistry: the Central Science, 7th ed. p. 631.
Vander, A. et al. Human Physiology, 6th ed. WCB McGraw-Hill, Boston, 1994, p. 463-466, 492-3, 552-6.
Zumdahl. Chem. Principles, 4th ed.p. 192-5, 208-214.
The authors thank Dewey Holten, Michelle Gilbertson, Jody Proctor and Carolyn Herman for many helpful suggestions in the writing of this tutorial.
The development of this tutorial was supported by a grant from the Howard Hughes Medical Institute, through the Undergraduate Biological Sciences Education program, Grant HHMI# 71195-502005 to Washington University.
Revised July 2007