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Chapter 2 Water and Chemical Bonds in Biochemistry 2-1 Water and hydrogen bond Water (H2O) Due to the dipolar nature, there is an electrostatic attraction between the oxygen atom of one water molecule and the hydrogen of another. This attraction results in a hydrogen bond. In ice each water molecule forms 4 hydrogen bonds. In liquid water each water molecule forms about 3.4 hydrogen bonds. Certain other molecules can form hydrogen bonds. Needed is: A hydrogen acceptor (oxygen or nitrogen with lone pair of e-). A hydrogen donor (hydrogen atom covalently bonded to oxygen or nitrogen) Some biologically important hydrogen bonds A linear hydrogen bond is the strongest Intermolecular Forces Table of Force Energies Type of Force Energy (kJ/mol) Ionic Bond 300-600 Covalent 200-400 Hydrogen Bonding 20-40 Ion-Dipole 10-20 Dipole-Dipole 1-5 Instantaneous Dipole/ Induced Dipole 0.05-2 2-2 Hydrophilic and Hydrophobic properties Hydrophilic molecules Water is a polar solvent. Many biomolecules are charged or polar and readily dissolve in water. They are hydrophilic. DNA Examples of polar groups in biomolecules Hydrophobic molecules Biomolecules are soluble in nonpolar solvents such as chloroform or benzene. They are hydrophobic. Example: waxes, hydrocarbon chains of lipids. Examples of nonpolar groups in biomolecules Beeswax Amphipathic molecules Biomolecules that have both hydrophilic and hydrophobic regions are termed amphipathic. Examples of amphipathic biomolecules Lipids self-aggregate in aqueous solution Lipids self-aggregate in aqueous solution Lipids self-aggregate in aqueous solution Lipids self-aggregate in aqueous solution Enzyme – substrate interaction releases ordered water molecules and increases entropy. Enzyme – substrate interaction releases ordered water molecules and increases entropy Solubilities of Some Gases in Water Four types of noncovalent “weak” interactions among biomolecules in aqueous solvent 2-3 Osmosis Osmotic pressure H2O flows in Osmosis – water movement across a cell membrane driven by differences in osmotic pressure. Osmotic pressure – Force that results from water entering a cell that is in a hypotonic solution. Isotonic – solutions of equal osmolarity (solute concentration). Hypertonic – A cell is in a hypertonic solution if the medium has a higher osmolarity than the cytosol. Water flows out of the cell, the cell shrinks. Hypotonic - A cell is in a hypotonic solution if the medium has a lower osmolarity than the cytosol. Water flows into the cell, the cell swells. How do cells compensate for living in a hypotonic solution? 1. Some cells have an outer cell wall that is rigid and prevents cell rupture (lysis). Examples: Plants, bacteria. 2. Some organisms have a special organelle called a contractile vacuole that serves as a water pump. Example: Protozoans. 3. Cells can compensate by pumping sodium ions (Na+) out of the cell. Water will leave the cell with the sodium to maintain osmotic balance. 2-4 Ionization of water, weak acids, and weak Bases A. Pure Water Is Slightly Ionized H3O+ H+ H2O H+ OH- B Equilibrium Constant H2O Equilibrium = Keq = constant Ion product of water = OH- + H+ [OH-] [H+] = 1.8 x 10-16 M [H2O] Kw = [OH-] [H+] = 10-14 M2 [H2O]=55.5 M Pure H2O : [H+] = [OH-] = 10-7 M pH = - log [H+] = -log (10-7) = 7 If [H+] > 10-7 M then pH < 7 (acidic) If [H+] < 10-7 M then pH > 7 (basic) B Equilibrium Constant Blood: [H+] = 4 x 10-8 M Blood pH = 7.4 C. The pH Scale D. Acids and Bases Acid (HA) - something that has a proton and is willing to give it up. Base (A-) - something that has a place to put a proton HA H + + A- HA + H2O H 3O+ + A- Strong acids completely dissolve in H2O (H+Cl-). Weak acids don’t completely dissolve in H2O. [A-] [H+] K= O [HA] H2PO4(acid) O HPO42- + H+ (base) P OH K= [HPO42-] [H+] [H2PO4-] pK = - log (K) = 6.82 = 1.51 x 10-7 M OH E. Relationship between pH and pK pH = pK + log (A- / HA) (Henderson - Hasselbalch equation) pH = pK when: The molar concentration of acid and conjugate base are equal. [H2PO4-] = [HPO42-] pH = pK = 6.8 Henderson – Hasselbalch equation Buffers Buffers are solutions that contain both the acidic and basic forms of a weak acid. Buffers minimize changes in pH when strong acids (H+) and bases (OH-)are added. H2O +10-3 M HCl [H+] = 10-3 M [Cl] = 10-3 M pH = 3.0 +10-3 M HCl 0.101 M H2PO40.099 M HPO42[H+] = 10-6.79 M pH = 6.79 [H+] = 10-7 M pH = 7.0 0.1 M H2PO40.1 M HPO42[H+] = 10-6.8 M pH = 6.8 O -O P OH O O- +10-3 M HCl -O P OH OH Buffering Capacity Buffering capacity depends on the concentration of the buffering agent. 0.1 M H2PO40.1 M HPO42[H+] = 10-6.8 M pH = 6.8 +10-3 M HCl 0.101 M H2PO40.099 M HPO42[H+] = 10-6.79 M pH = 6.79 0.002 M H2PO40.002 M HPO42[H+] = 10-6.8 M pH = 6.8 +10-3 M HCl 0.003 M H2PO40.001 M HPO42[H+] = 10-6.32 M pH = 6.34 O -O P OH O O- +10-3 M HCl -O P OH OH H2PO4(acid) HPO42- + H+ (base) O O [HPO42-] [H+] Ka = = 1.51 x 10-7 M [H2PO4-] P OH OH [0.001 M] [H+] = 1.51 x 10-7 M [0.003 M] [H+] = [(1.51 x 10-7 M)*(0.003 M)]/(0.001 M) = 4.53 x 10-7M pH = -log [H+] = -log(4.53 x 10-7) = 6.34 K= [HPO42-] [H+] [H2PO4-] K = 1.51 x 10-7 M pK = - log (K) = 6.8 6.8 H2PO4(acid) HPO42- + H+ (base) O O P OH OH Phosphate buffers act in the cytoplasm of cells, keeping the pH inside a cell near 7. Many biomolecules inside a cell possess ionizable groups that are weak acids and act as intracellular buffers. The side chain of the amino acid histidine contains an imidazole functional group with a pK ~ 6. Enzymes, protein molecules that serve as biological catalysts, have a characteristic pH optimum Physiological pH The pH in the human body needs to remain ~7 Biological molecules are very sensitive to pH. enzyme catalysis, protein-protein interactions, receptor binding Acid-Base balance of the blood is maintained using a CO2 - bicarbonate buffer. CO2 + H2O (acid) H2CO3 (hydrated CO2) H+ + HCO3(bicarbonate base) pKa = 6.1 There is more than 10-fold more base (HCO3-) than acid (CO2) so pH > pK (pH= 7.4) CO2 is exhaled by the lungs H+ + HCO3- CO2 + H2O Breathing rate controls CO2 CO2 balance is controlled by the lungs, HCO3- by the kidneys H2CO3 (hydrated CO2) (acid) H+ + HCO3(bicarbonate base) pKa = 6.1 If acid is produced, such as lactic acid in muscle CH3-CH(OH)-COOH H+ + CH3-CH(OH)-COOHCO3- + H+ H2CO3 If base is produced, such as NH3 from protein degradation NH3 + H+ NH4 H2CO3 H+ + HCO3- Question: What is the pH of a solution whose hydrogen ion concentration is 3.2 x 10-4 M? Answer: pH = -log[H+] pH = -log(3.2 x 10-4) pH = 3.5 Question: What is the pH of a solution whose hydroxide ion concentration is 4.0 x 10-4 M? Answer: Define pOH = -log [OH-] Kw = [H+][OH-] = 10-14 log[H+] + log[OH-] = log 10-14 pH + pOH = 14 [OH-] = 4.0 x 10-4 pOH = -log [OH-] = -log(4.0 x 10-4) = 3.4 pH + pOH = 14 pH = 14 – pOH = 14 – 3.4 = 10.6 Work the problems in Box 2-3 page 67 Working in Biochemistry Work Through Acid – Base Worksheet #1 CH3COOH CH3COO- + H+ Acid Base Ka = [CH3COO-] [H+] [CH3COOH] CH3COOH CH3COO- + H+ Acid Base Ka = [CH3COO-] [H+] [CH3COOH] Ka = 1.74 x 10-5 pKa = -log(1.74 x 10-5) = 4.76 Henderson – Hasselbalch equation The pH of a solution of acetic acid is 6.22. What is the ratio of base to acid? 6.22 = 4.76 + log [A-]/[HA] 6.22 – 4.76 = log [A-]/[HA] 1.46 = log [A-]/[HA] 101.46 = [A-]/[HA] 28.8 = [A-]/[HA] [A-]/[HA] = [CH3COO-]/[CH3COOH] The concentration of CH3COOH is 0.1 M. The concentration of CH3COO- is 0.01 M. What is the pH of the solution? pH = 4.76 + log [0.01]/[0.1] pH = 4.76 + log 0.1 pH = 4.76 + (-1) pH = 4.76 - 1 pH = 3.76