
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.

Answer to Problem 25P
Equilibrium concentration of fructose-1,6-bisphosphate = 7.8 ×10−4 M
Equilibrium concentration of DHAP = 2.2×10−4M
Equilibrium concentration of G3P = 2.2×10−4M
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-bisphosphatealdolase⇌DHAP+G3P ; ΔG∘=23.9kJ/mol = 23.9 × 103J/mol
Creating the ICE table as:
Reaction - Fructose-1,6-bisphosphatealdolase⇌DHAP+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 = 6.5×10−5
Now,
Keq = concentration of productsconcentration of substratesKeq = [DHAP]×[G3P][fructose-1,6-bisphosphate]6.5×10−5=x × x0.001−x6.5×10−5(0.001−x) = x26.5×10−8−6.5×10x = x2x2+6.5×10−5x−6.5×10−8=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 = 2.2×10−4M
So, equilibrium concentrations of DHAP and G3P = 2.2×10−4M
Equilibrium concentration of fructose-1,6-bisphosphate = (0.001-2.2×10−4) M = 7.8 ×10−4 M
Equilibrium concentration of fructose-1,6-bisphosphate = 7.8 ×10−4 M
Equilibrium concentration of DHAP = 2.2×10−4M
Equilibrium concentration of G3P = 2.2×10−4M
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