Lecture 16: Thermodynamics and Biochemical Energetics in Biochemistry 440, Fall 2008 - Pro, Study notes of Biochemistry

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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Biochemistry 440, Fall, 2008 Lecture 16
1
1
Lecture 16
Thermodynamics &
Biochemical energetics
Thermodynamics
- Free energy change of a reaction (ΔG)
- Standard free energy change (ΔGo)
- Relationship of ΔG and ΔGo
Bioenergetics
- Coupling of reactions
- ATP
Reading assignment:
Chapter 13.1 & 13.3
box 13-1 optional; 13.2 fo r review only
2
Lecture 16
ΔG - the change in free energy
3
Lecture 16
What is ΔG?
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
4
Lecture 16
What is ΔG?
!G=RT ln
Ci
[ ]
Di
[ ]
Ai
[ ]
B
i
[ ]
"RT ln
Ce
[ ]
De
[ ]
A
e
[ ]
Be
[ ]
Equation 1:
Equation 2:
!G=RT ln Ci
[ ]
Di
[ ]
Ai
[ ]
B
i
[ ]
"RT ln Keq
R is the gas constant
T is the temperature in degre es Kelvin
pf3
pf4
pf5

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Lecture 16 1

Thermodynamics &

Biochemical energetics

 Thermodynamics

  • Free energy change of a reaction (ΔG)
  • Standard free energy change (ΔGo)
  • Relationship of ΔG and ΔGo  Bioenergetics
  • Coupling of reactions
  • ATP Reading assignment: Chapter 13.1 & 13. box 13-1 optional; 13.2 for review only Lecture 16 2

ΔG - the change in free energy

Lecture 16 3

What is ΔG?

 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

What is ΔG?

! G = RT ln

[ C i ][ D i ]

[^ Ai ][ Bi ]

" RT ln

[ C e ][ De ]

[^ Ae ][ B e ]

 Equation 1:  Equation 2:

! G = RT ln

[ C i ][ Di ]

[^ Ai ][ Bi ]

" RT ln Keq

R is the gas constant T is the temperature in degrees Kelvin

Lecture 16 5

ΔG^0 is the change in standard free energy.

 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:

! Go^ = RT ln

" RT ln Keq

Lecture 16 6

ΔG^0 is the change in standard free energy.

 Solving Equation 3 gives:  Equation 4:  2.303 RT is approx 5 kJ/mole at 25˚C.

! Go^ = " RT ln Keq

! Go^ = "2.303 RT log Keq

 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:

The relationship of ΔG to ΔG’^0.

 Substituting equation 4 into equation 2 gives:  Equation 5: ! G =! G '^0 + RT ln

[ C i ][ Di ]

[^ Ai ][ Bi ]

! G =! G

' 0

+ 2.3 RT log

[ C i ][ Di ]

[^ Ai ][ Bi ]

 ΔG > 0 =>

 ΔG < 0 =>

Lecture 16 8

Consider the reaction A <--> B

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-