During glycolysis ATP is synthesized from phosphoenolpyruvate (PEP) in a reactio
ID: 503694 • Letter: D
Question
During glycolysis ATP is synthesized from phosphoenolpyruvate (PEP) in a reaction catalyzed by the enzyme pyruvate kinase. This reaction proceeds as follows:
PEP + ADP yields ATP+ Pyruvate
A. The delta G0for the hydrolysis of PEP is -62kJ mol-1 and the delta G0 for ATP hydrolysis is -30.5kJ mol-1. Calculate the delta G0 for the pyruvate kinase reactioin from the two half reactions.
B. If the delta G for the coupled reaction is -16.7 mol-1, and there is 10 times more ATP than ADP at 250C, what is the ratio of [pyruvate]/[PEP] under these conditions?
Explanation / Answer
PEP + ADP ----------------> ATP + Pyruvate
A) GIven that
(hydrlysis of PEP) PEP + H2O ---------------> pyruvate + Pi Go = - 62 kJ mol-1
(hydrlysis of ATP) ATP + H2O ----------------> ADP + Pi Go = -30.5 kJ mol-1
Then,
ADP + Pi ----------------> ATP + H2O Go = + 30.5 kJ mol-1
PEP + H2O ---------------> pyruvate + Pi Go = - 62 kJ mol-1
-----------------------------------------------------------------------------------------
PEP + ADP ----------------> ATP + Pyruvate
Gorxn = + 30.5 kJ mol-1 - 62 kJ mol-1 = - 31.5 kJ mol-1
Therefore,
Gorxn = - 31.5 kJ mol-1
B) Given that
PEP + ADP ----------------> ATP + Pyruvate Grxn = - 16.7 kJ mol-1
Futher given that 10 times more ATP than ADP i.e. [ATP]/ADP]= 10
We know that
G = Go + RT In Keq
- 16.7 kJ mol-1 = - 31.5 kJ mol-1 + RT In { [ATP] [Pyruvate]/[PEP] [ADP]}
- 16.7 kJ mol-1 = - 31.5 kJ mol-1 + (8.314 J/K/mol) (298 K) In { [ATP] [Pyruvate]/[PEP] [ADP]}
14.8 kJ mol-1 = (8.314 J/K/mol) (298 K) In { [ATP] [Pyruvate]/[PEP] [ADP]}
14800 J mol-1 = (8.314 J/K/mol) (298 K) In { [ATP] [Pyruvate]/[PEP] [ADP]}
{ [ATP] [Pyruvate]/[PEP] [ADP]} = 393
{[Pyruvate]/[PEP]} {[ATP]/ADP]} = 393
{[Pyruvate]/[PEP]} x 10 = 393 { since, [ATP]/ADP] = 10 }
[Pyruvate]/[PEP] = 39.3
Therefore,
ratio of [pyruvate]/[PEP] = 39.3
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