Exercise 5 Acid – base balance in organism, buffers, colloids, dialysis. Theoretical part 1. Diffusion, osmosis and osmotic pressure Diffusion is a process in which molecules, ions or colloidal particles migrate from a region of high to a region of low concentration (see Figure 1.). The kinetic energy of diffusing molecules keeps them in motion. Diffusion is of a great importance in biology – all the nutritive substances are distributed to the cells of a living organism by diffusion and also the waste products of metabolism are removed by diffusion. Diffusion process is also used to distribute substances of physiological importance, such as water, oxygen, inorganic ions, enzymes, hormones and vitamins. Diffusion. Example where the concentration of an ion is 100% on one side of the membrane (blue line) and 0% on the other. This imbalance is maintained because the membrane is impermeable to that ion. Here the ions have diffused across the membrane because it has become permeable to that ion (dotted black line) and the concentration on either side is 50/50. Equilibrium has been reached. Figure 1. Diffusion. Osmosis is the passage of water from a region of high water concentration through a semipermeable membrane to a region of low water concentration. Semi-permeable membranes are very thin layers of material (cell membranes are semi-permeable) which allow some molecules to pass through them but prevent other molecules from passing through. Cell membranes will allow small molecules like oxygen, water, CO2, NH3, amino-acids, etc. to pass through. Cell membranes will not allow larger molecules like sucrose, starch, protein, 1 etc. to pass through. Similarly ions (like Na+, K+, Ca2+, H+) do not diffuse spontaneously through the semipermeable membrane. Figure 2. Osmosis. The osmotic pressure is the pressure required to stop osmosis through a semipermeable membrane between a solution and pure solvent. If a more concentrated sugar solution is placed on one side of a living membrane than on the other side, both the sugar and the water will diffuse through the membrane, but the water will diffuse faster and will pass in a direction opposite to that of the sugar, a greater osmotic pressure will develop on the side of the membrane having the solution of greater concentration. The situation will continue until the concentration of sugar (= the osmotic pressures) becomes the same at each side of the membrane. Osmotic activity is expressed by equation: = TRiM - osmotic pressure [atm] M – molarity [mol/l] R – gas constant [0,083 l atm/mol K] T – temperature [K] i – van’t Hoff’s factor (for nonelectrolytes is equal 1; for ionizable substances is determined by the number of particles formed by the ionization process). Solutions having the same osmotic pressure (= osmolarity) are called isotonic solutions. 2 Physiological solutions are isotonic (but not isoionic) to the tissues of the body. A solution is said to be hypotonic to another solution when it has a lower osmolarity, and the solution is hypertonic to another solution when it has a higher osmolarity. A. B. C. Figure 3. Diagram showing changes in blood cells due to osmosis. A) Erythrocyte in hypotonic solution (e.g. distilled water) swells and bursts ( hemolysis). B) Erythrocyte in isotonic solution (e.g. 0,9 % NaCl) shows no volume change. C) Erythrocyte in hypertonic solution (2 % NaCl) shrinks and becomes crenated. The concentration of salts in the blood or lymph of animals is approximately equivalent to 0,9 % sodium chloride. The living tissues undergo no change due to osmosis in a solution of that strength, therefore it is called a physiological solution. Active transport is the movement of a molecule across a membrane or another barrier that is driven by energy other than stored in the concentration gradient or the electrochemical gradient of the transported molecule. This type of transport requires usually the expenditure of ATP and the help of specific transport proteins. In this way can even large molecules or ions can be channeled through the membrane. The sodium-potassium pump is a good example of active transport of molecules across a membrane. Figure 4. The sodium – potassium pump. 3 ● The membrane has protein (or enzyme) channels, or gaps, which forms a transmembrane pump. These pumps use energy-storing molecules called adenosine triphosphate (ATP) ● ATP actively pumps 3 Na+ ions out of the cell, at the same time pumping 2 K+ into the cell. ● After a while, a ionic concentration gradient is generated across the membrane, whereby more Na+ ions are outside and more K+ are inside ● Because of diffusion, the tendency is for Na+ ions to travel back to the inside, and vice versa for K+ ions. There are nongated channels in the membrane that permit the passage of some Na+ ions back into the neuron, and K+ ions out of the neuron (again, using diffusion to achieve a concentration equilibrium), however, the membrane is not very permeable to Na+ ions. Hence many more K+ ions leave the cell than Na+ ions enter. This causes an excess of negative charge in the cell. ● The K+ ions continue to leak out until there is an equilibrium reached between the concentration gradient and the electric potential (i.e., the attraction of K+ positive ions back to the negatively charged intracellular fluid) 2. Colloids In the middle, between the suspensions (diameter of particles 1000 nm) and solutions (d 10 nm) is the large group of mixtures called colloidal dispersions, or simply colloids, in which a dispersed (solutelike) substance is distributed throughout a dispersing (solventlike) substance. The dispersed colloidal particles are larger than a simple molecules but small enough to remain distributed and not to settle out. A colloidal particle has a diameter between 1 and 1000 nm (10-9 m to 10-6 m) and may contain many atoms, ions or molecules. A colloidal solution has two phases, the dispersed and the continuous (dispersing) phase. The dispersed phase is the particular matter held in solution. The dispersing medium (solvent, for example water) is the continuous phase. Colloids are classified according to whether the dispersed and dispersing substances are gases, liquids or solids (Table 1.). 4 Table 1. Types of colloids Phase of Colloid Gas Gas Gas Liquid Liquid Liquid Solid Solid Solid Dispersing Phase Gas Gas Gas Liquid Liquid Liquid Solid Solid Solid Dispersed Phase Colloid Type Example Gas Liquid Solid Gas Liquid Solid Gas Liquid Solid --Aerosol Aerosol Foam Emulsion Sol Solid Foam Solid Emulsion Solid sol none Fog Smoke Whipped Cream Milk Paint Marshmallow Butter Ruby Glass Characteristic properties of colloids are: 1) colloids can be poured through an ordinary filter paper, but do not pass through any semipermeable membrane (e.g. a cell membrane). 2) Tyndall effect – when a beam of light is passed through a colloidal solution, the pathway of the light appears as a more highly illuminated region because the light ray are reflected by the colloidal particles (like a beam of light is reflected by dust particles in the air). 3) Brownian motion – a characteristic movement in which the colloidal particles change speed and direction erratically. This motion occurs as the colloidal particles are pushed this way and that way by molecules of the dispersing medium. These collisions are primarily responsible for keeping colloidal particles from settling. 4) colloids are coagulated by heat and by alcohol, that is they are converted into an insoluble state by these agents. Reversible coagulation of colloids is produced by an addition of a solvent, by electrolytes and by heating.. A process that is reversed of coagulation is called peptization. coagulation sol gelatine peptization Irreversible coagulation (denaturation) is produced by high temperatures, concentrated acids and bases and heavy metal salts (e.g. PbSO4, CdSO4) Colloids can be divided to: lyophilic (solvent-loving) colloid that has the attraction to its solvent. If the solvent is water, the colloid is called a hydrophilic one. This kind of colloid (e.g. egg albumin in water) have charge surfaces that interacts strongly with water. lyophobic (solvent-fearing, hydrophobic) colloid that does not have this attraction to its solvent. Lyophobic colloids (e.g. AgCl or oil in water) form unstable solutions with their solvents and are very likely to form large particles and precipitate from solution. 5 Dialysis is called the separation of crystalloids (nonocolloids), e.g. glucose, NaCl, HCl, from colloids by the passage of the crystalloids through a membrane that holds back colloids. It is considered a practical process for the separation of crystalloids from colloids. In medicine dialysis is a method of removing toxic substances (impurities or wastes) from the blood when the kidneys are unable to do so. Dialysis is most frequently used for patients who have kidney failure, but may also be used to quickly remove drugs or poisons in acute situations. This technique can be life saving in people with acute or chronic kidney failure. A dialyzator substitutes for renal’s activity or aids to purify the blood from metabolites and toxic substances. The dialyzator consists of two vessels, the internal one has a semipermeable cellophane membrane at the bottom. The colloidal solution contaminated by crystalloids (e.g. blood) is placed in internal part, which is suspended in an external vessel of distilled water. The crystalloids (like urea, creatine, derivatives of phenol) will pass through the cellophane into distilled water and in this manner can be separated from the colloids. H2O colloid H2O 3. Buffers can be defined as a weak acid or a weak base in the presence of its salts. Also equimolar mixture of two salts are used for a buffer, the one with more hydrogen atoms in it is considered to be the acid, whereas the salt with less hydrogen is considered to be the salt (see Table below). Buffers can resist changes in pH when small amounts of strong acids or bases are added. Components of a buffer Name of a buffer a weak acid/ a salt of weak acid acetate buffer CH3COOH / CH3COONa (acetic acid / sodium acetate) bicarbonate buffer a weak acid/ a salt of weak acid H2CO3 / NaHCO3 (carbonic acid / sodium bicarbonate) a weak base/ a salt of weak base ammonia buffer NH3 / NH4Cl 6 (ammonia / ammonium chloride) two salts: an acid/ a salt phosphate buffer KH2PO4/K2HPO4 (potassium dihydrogen phosphate / potassium hydrogen phosphate) The blood has three powerful buffer systems that protect against the introduction of acid or base. These are (1) proteins in the plasma and hemoglobin in the red cells, (2) the phosphate buffer and (3) bicarbonate buffer in the plasma. The proteins are effective, because the blood contains a large amount of them. Proteins behave as buffer because of their ability to neutralize either acid or base. Protein’s molecules consist of amino acids that contain amine groups, which will neutralize acids, and carboxyl groups, which will neutralize bases. Bicarbonate acts as buffers against acidity by reacting with a strong acid to produce carbonic acid (H2CO3), which is a weak acid. For example, if a strong acid HCl is added to a solution containing sodium (potassium) bicarbonate, the following change occurs: HCO3- + H3O+↔ H2CO3+ H2O ↓ H2O + CO2 In this reaction the strong acid (HCl) is replaced by H2CO3, which is so weak an acid that there is very little change in the pH of the solution. In the same moment amount of H 2CO3 is increasing, as much as amount of HCO3- was diminished. The carbonic acid thus formed acts as a buffer against strong bases, neutralizing them and producing water and the poorly ionized compound, sodium bicarbonate, which changes the pH of the solution but slightly: H2CO3+ OH-↔ HCO3- + H2O A mixture of H2PO4- and HPO42- acts as a buffer as well. By analogy: H2PO4- + OH-↔ HPO42- + H2O HPO42- + H3O+↔ H2PO4- + H2O And let us consider following reactions, that illustrate mechanisms of action of acetate and ammonia buffer, respectively: CH3COO- + H3O+↔ CH3COOH + H2O CH3COOH + OH-↔ CH3COO- + H2O 7 NH3aq + H3O+↔NH4+ + H2O NH4+ + OH- ↔ NH3aq + H2O The story of buffers in connection with the blood is the same for all the tissues of the body. Without the buffers the human body could never withstand the acids produced in normal metabolism, the excesses of acids and bases that are sometimes encountered as a result of accidental intake of extra acid or base, or the abnormal amounts of acids or base resulting from an unbalanced diet or disease. pH of any buffer is defined by Henderson – Hasselbach equation: Msalt pH = pKa + log Macid where: pKa = -log Ka, and Ka – acid dissociation constant Msalt – molar concentration of a salt Macid – molar concentration of an acid Expressions for pH of selected buffers: Carbonate buffer [ HCO3-] pH = pKa + log [ H2CO3] Phosphate buffer pH pK log H 2 PO4 [ HPO42 ] [ H 2 PO4 ] Ammonia buffer pH 14 pOH 14 ( pK b log [ NH 4 Cl ] ) [ NH 3 H 2 O] where: pKb = -log Kb, and Kb – base dissociation constant or: 8 pH pK a log [ NH 3 H 2O] [ NH 4Cl ] where: pKa = -log Ka, and Ka – acid dissociation constant Buffer capacity is a measure of the ability of solution to resist pH change. Buffer capacity is the number of moles of strong acid or strong base needed to change the pH of 1 Liter of buffer solution by 1 pH unit. The more concentrated the components of a buffer, the greater the buffer capacity. Since the ratio of concentrations of the buffer components determines the pH, the less the ratio changes. For a given addition of acid or base, the ratio changes less when buffer – component concentrations are similar than when they are different. It follows that a buffer has the highest capacity when its components are present at equal concentration, that is, when M salt/Macid = 1 , which gives pH=pKa. Buffer capacity (A) is a ratio of acid or base added (to 1 liter of a buffer) to change pH: A where: n pH A – buffer capacity Δn – number of moles of added acid or base ΔpH – pH change Experimental 1. Preparation of buffers of known pH 2. Determination of pH of buffer solution using indicators 3. Determination of pH of buffer solution using pH-meter 4. Effect of dilution on buffer capacity 1. Preparation of buffers of known pH Buffer solutions of define hydrogen-ion concentration may be made up from a series of stock solutions in define proportions. Prepare buffer solution using stock solutions of 1/15M Na2 HPO4 and 1/15M KH2PO4 or 0.2M CH3COONa and 0.2M CH3COOH (see Table 2 and Table 3) according to assistant’s instruction. 9 Table 2. Phosphate buffer Table 3. Acetate buffer A-1/15M Na2 HPO4 A- 0.2M CH3COONa B- 1/15M KH2PO4 B- 0.2M CH3COOH nr A[ml] B[ml] nr A[ml] B[ml] 1. 7.40 32.60 1. 7.20 32.80 2. 10.60 29.40 2. 10.60 29.40 3. 15.00 25.00 3. 14.80 25.20 4. 20.00 20.00 4. 19.60 20.40 5. 24.44 15.56 5. 24.00 16.00 6. 28.60 11.40 6. 28.20 11.60 7. 32.16 7.84 7. 31.60 8.40 2. Determination of pH of buffer solution using indicators A) The first step in this procedure is to determine the approximate pH of the buffer solution using indicate paper: Treat small piece of indicator paper with 1 drop of buffer solution and compare the color obtained with color scale. Such paper is convenient and sufficiently accurate for many purposes. It is possible to attain a precision of 1-2 pH units in this method. B) For attaining a precision of 0.5-0.1 pH and determine pH of buffer solution use indicator solutions (see Table 4): Using “serologic plate” treat a small portion (a few drops) of the buffer solution with 1 drop of an indicator solution. Compare the color obtained with the alkaline color and acid color of the indicator. If the color obtained is intermediate between the acid and alkaline color of the indicator, the pH of the solution lies within the effective range of this indicator. If on the other hand the solution shows either the full acid or full alkaline color with the indicator selected, it is unsuitable and another indicator must be tried in a similar manner, until the pH will be determine with 1-0.5 pH unit precision. 10 Table 4. Colors and pH range of indicators Indicator Color at lower pH Range of Color at higher pH color change (pH) Thymol Blue pink-red 1.2–2.8 yellow Töpfer’s reagent red 2.8–4.6 yellow Methyl Orange red 3.1–4.4 yellow Bromcresol Green yellow 3.8–5.4 dark blue Methyl Red red 4.2–6.3 yellow Litmus red 5.0–8.0 blue Bromthymol Blue yellow 6.0–7.6 dark blue Cresol Red orange 7.2–8.8 purple Neutral Red purple-red 6.8–8.0 orange-brown Phenol Red yellow-orange 6.8–8.4 red-purple Thymol Blue yellow 8.0–9.6 purple-blue Phenolphthalein colorless 8.3–10.0 pink Thymolphthalein colorless 9.3–10.5 dark-blue C) By use of the Henderson-Hasselbach equation calculate the pH of your buffer solution. The values of Ka and pKa are: KCH3COOH = 1.8×10-5 ( pKa = 4.74) KH2PO4- = 6.2×10-8 (pKa = 7.21) 3. Determination of pH of buffer solution using pH-meter Place buffer solution into a small beaker and introduce (carefully) both the glass and calomel electrodes into a buffer. Read the pH. Before and after measure wash electrode (carefully) with distilled water. 4. Effect of dilution on buffer capacity A. Into a 4 clean test tubes measure appropriate 5 ml, 2.5 ml, 1 ml and 0.5 ml of buffer solution and dilute all to 5 ml with distilled water. B. Add to all test tubes 1-2 drops of appropriate indicator (pH of your buffer solution should be near to effective pH range of indicator used, but not be within) 11 C. Titrate all 4 solution with HCl or NaOH (depending on effective pH range). Note volume of titrant used D. Calculate buffer capacity for all 4 dilutions (according to Table 5) Table 5. Sample presentation nr ml of buffer ml of water dilution pH of solution (by pHmeter) (indicator used) color of solution before titration after titration nr of ml of ΔpH used acid/ base 1. 2. 3. 4. where: ΔpH – pH change Δn – number of moles of added acid or base (per 1 liter of a buffer) A – buffer capacity 12 Δn A