BIOENERGETICS 1. Define equilibrium, non-equilibrium, steady state, and free energy change. 2. Know the first and second laws of thermodynamics. Describe their importance with respect to biological systems. 3. Distinguish G and G0 in terms of information provided about a reaction. 4. For the model reaction A + B ↔ C + D: Know the equation defining the equilibrium constant; know the equation expressing the free energy change at given concentrations of A, B, C, and D. 5. Understand the relationship between the standard free energy change and the equilibrium constant. 6. Explain in terms of G values how an endergonic reaction can be coupled to an exergonic reaction. 7. Describe how ATP serves to couple exergonic and endergonic reactions. 8. Understand why ATP, phosphoenolpyruvate, creatine phosphate, 1,3bisphosphoglycerate are considered high energy compounds. BIOENERGETICS 1. First law of thermodynamics- law of conservation of energy a. Total energy of a system plus its surroundings (the universe) is constant b. Energy that leaves system equals energy that enters minus energy that remains stored in system energy out = energy in – energy stored energy stored (called internal energy, E) = energy in – energy out c. Interested in change in internal energy (E) when chemical reaction takes place rather than actual energy values E = Eproducts – Ereactants d. Change in enthalpy, heat content (H), for biological reactions nearly equals E H = Hproducts – Hreactants 2. Second law of thermodynamics- law of thermodynamic spontaneity a. Process spontaneous only if sum of entropies (randomness, disorder) of a system plus its surroundings (the universe) increases b. Spontaneity refers to feasibility of reaction in particular direction, not rate of reaction c. For every process Ssystem + Ssurrounding > 0 3. Free energy a. G or Gibbs free energy- measure of spontaneity for a process that only depends on parameters within system G = H – TS (T is temperature in Kelvin) b. For every process G of the system must be negative 4. Using G to access feasibility of reactions under given set of conditions a. Equilibrium constant (Keq) A↔B Keq = [B]eq / [A]eq ratio of product concentrations to reactant concentrations at equilibrium b. Free energy is lowest at equilibrium and increases as reaction is displaced; tendency toward equilibrium provides driving force of every chemical reaction 1 c. G is means of calculating how far from equilibrium reaction lies and how much energy is released as it proceeds (under specified conditions) G = -RT ln([B]eq/[A]eq) + RT ln([B]specified/[A]specified) = -RT lnKeq + RT ln[B]specified/[A]specified (R is the gas constant = 1.987 cal/mol-K) or more generally for aA + bB ↔ cC + dD (a molecules of reactant A, etc.) G = -RT lnKeq + RT ln {([C]c[D]d)/([A]a[B]b)} d. Significance of G for reaction under specified conditions G < 0: feasible; energy produced by reaction G > 0: not feasible; energy must be supplied to drive reaction G = 0: at equilibrium 5. Standard free energy change a. G0 is free energy in standard state- all reactants and products at 1 M, 25ºC (298 K); G0’ further indicates at pH 7.0 b. To get G0 equation, use G equation and plug in 1 for all concentrations G0 = -RT lnKeq + RT ln1 = -RT ln Keq = -0.592 ln Keq or –1.36 log Keq (measured in kcal/mol) Allows G0 to be calculated directly from Keq Inverse relationship between G0 and Keq If Keq> 1 (at standard conditions), G0negative; if Keq< 1 G0 positive c. Determining G at given conditions from G0 G0 has been determined for many reactions To get equation relating G and G0, use G equation and replace –RT lnKeq with G0 G = G0 + RT ln {([C]c[D]d)/([A]a[B]b)} = G0 + 0.592 ln {([C]c[D]d)/([A]a[B]b)} 6. Steady state a. Although reactions move toward equilibrium, most in cell do not reach it; most compounds at steady state levels far from equilibrium b. Reactants and products affected by other steps in metabolic pathways; continuous uptake of energy 2 c. Drive toward equilibrium used to perform useful work; cell at equilibrium would be dead 7. Driving unfavorable reactions b. Overall G for coupled series of reactions sum of G's of individual steps A↔B+C G0 = +4 kcal/mol (endergonic) B↔D G0 = -8 kcal/mol (exergonic) _____________________________________________ A↔C+D G0 = -4 kcal/mol (exergonic) c. Thermodynamically unfavorable reaction can be driven by favorable reaction to which it is coupled 8. ATP is universal energy carrier a. Nucleotide with adenine, ribose, and triphosphate units b. Formed during oxidation of foodstuffs c. Large free energy released from hydrolysis ATP + H2O ↔ ADP + Pi G0 = -7.3 kcal/mol ATP + H2O ↔ AMP + PPi G0 = -10.9 kcal/mol d. Hydrolysis often used to drive unfavorable reactions A↔B G0 = +3 kcal/mol A + ATP + H2O ↔ B + ADP + Pi G0 = -4.3 kcal/mol e. ATP-ADP cycle fundamental mode of energy exchange 9. Nature of high energy molecules a. Large free energy difference between molecule and its hydrolysis products b. ATP Strong tendency to transfer phosphoryl group to water; high phosphate transfer potential Cause of big energy difference - Negative charges on phosphates of ATP; repel each other; want to react with water - Hydrolysis products more stable; more resonance structures 3 c. Other molecules are high energy compounds; often energy released from hydrolysis of phosphate group, for example phosphoenolpyruvate, creatine phosphate, 1,3-bisphosphoglycerate 4