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A part of the lecture notes for biochemistry 440, fall 2008, focusing on thermodynamics and biochemical energetics. It covers the concepts of free energy change (δg) and standard free energy change (δgo), their relationship, and bioenergetics, including atp and the coupling of reactions.
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Lecture 16 1
Thermodynamics
Lecture 16 3
ΔG is the change in free energy. Consider the reaction A + B <--> C + D -> Initial conditions: Ai + Bi <--> Ci +Di -> At equilibrium: Ae + Be <--> Ce + De Lecture 16 4
! G = RT ln
" RT ln
Equation 1: Equation 2:
R is the gas constant T is the temperature in degrees Kelvin
Lecture 16 5
At standard state, the concentrations of reactants and products are ΔG^0 is the change in free energy going from Substituting into Equation 2 gives Equation 3:
Lecture 16 6
Solving Equation 3 gives: Equation 4: 2.303 RT is approx 5 kJ/mole at 25˚C.
In biology, we use ΔG’^0. Standard state with additional assumptions pH = 7. 55 M H 2 O 1mM Mg2+ K’eq makes the same assumptions. Lecture 16 7 Change to log base 10 to give Equation 6:
Substituting equation 4 into equation 2 gives: Equation 5: ! G =! G '^0 + RT ln
' 0
Lecture 16 8
Given the reaction A <--> B If [A] = 0.1 M and [B] = 1 M And K’eq = 100 What is Q? What is ΔG’^0? What is ΔG? In which direction will the reaction proceed?
Lecture 16 13 ATP-coupled reactions ΔG’o^ [kJ/mol] ATP+H 2 O <-> Pi+ ADP -30. Pi+Glucose<->Glucose-6P+H 2 O +13.
ATP+Glucose<->Glucose-6P+ADP -16. Lecture 16 14 ATP-coupled reactions in vivo : Direct coupling by an enzyme ATP + Glucose <--> ADP + Glucose-6P Direct phosphoryl-group transfer, no Pi intermediate, bond energy preserved Lecture 16 15 ATP is the most widely used energy currency of the cell P - P - adenosine P - adenosine Lecture 16 16 ATP-hydrolysis Hydrolysis ATP + H 2 O --> ADP + Pi ΔG’^0 = -30.5 kJ/mol Phosphoryl group has high transfer potential Hydrolysis of ATP is favored because ATP is kinetically stable -> high activation energy for hydrolysis
Lecture 16 Figure 13-11^17 Lecture 16 18 ATP does not have the highest transfer potential ΔG’^0 Phosphoenolpyruvate -61.9 kJ/mol Creatine phosphate -43.0 kJ/mol ATP -30.5 kJ/mol Glucose 6-phosphate -13.8 kJ/mol Lecture 16 19 ATP provides energy by group transfers Figure 13-