Biochemistry (Looseleaf)
Biochemistry (Looseleaf)
9th Edition
ISBN: 9781319114800
Author: BERG
Publisher: MAC HIGHER
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Chapter 16, Problem 30P
Interpretation Introduction

Interpretation:

The equilibrium concentrations of fructose-1,6-bisphosphate, dihydroxyacetone (DHAP), and glyceraldehyde-3-phosphate (G3P) under given conditions should be determined.

Concept introduction:

By the action of aldolase enzyme, fructose-1,6-bisphopshate is converted into DHAP and G3P. Aldolase uses zinc ion as its cofactor. This is the fourth step in the glycolysis process, and the last step of the preparatory phase.

Expert Solution & Answer
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Answer to Problem 30P

Equilibrium concentration of fructose-1,6-bisphosphate = 7.8 ×104 M

Equilibrium concentration of DHAP = 2.2×104M

Equilibrium concentration of G3P = 2.2×104M

Explanation of Solution

Given information:

1 mM (0.001M) of fructose-1,6-bisphosphate is incubated with aldolase under standard conditions.

The reaction is:

Fructose-1,6-bisphosphatealdolaseDHAP+G3P ; ΔG=23.9kJ/mol = 23.9 × 103J/mol

Creating the ICE table as:

Reaction -                  Fructose-1,6-bisphosphatealdolaseDHAP+G3P ; ΔG=23.9kJ/mol = 23.9 × 103J/molInitial concentration-  0.001M                                             0M        0MDifference in conc -     -xM                                                 +xM        +xMFinal Concentration -  (0.001-x)M                                      xM        xM

Calculation of equilibrium constant, Keq :

ΔG=RTlnKeq23.9 × 103J/mol=8.314J/mol K × 298K×ln KeqKeq = 6.5×105

Now,

 Keq = concentration of productsconcentration of substratesKeq = [DHAP]×[G3P][fructose-1,6-bisphosphate]6.5×105=× x0.001x6.5×105(0.001x) = x26.5×1086.5×10x = x2x2+6.5×105x6.5×108=0

Solving for x,

x = b± b2 4ac2ax = (6.5× 10 5)± (6.5× 10 5 )2 4×1×(6.5× 10 8 )2×1x = 2.2×104M

So, equilibrium concentrations of DHAP and G3P = 2.2×104M

Equilibrium concentration of fructose-1,6-bisphosphate = (0.001-2.2×104) M = 7.8 ×104 M

Conclusion

Equilibrium concentration of fructose-1,6-bisphosphate = 7.8 ×104 M

Equilibrium concentration of DHAP = 2.2×104M

Equilibrium concentration of G3P = 2.2×104M

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