Question

Fructose-1-phosphate can be hydrolyzed into fructose + inorganic phosphate (Pi) with a ΔG° of –16.0 kJ/mol. If ATP can be hydrolyzed into ADP + Pi with a ΔG° of –30.5 kJ/mol, what is the free energy change for the reaction of fructose + ATP → fructose 1-phospate + ADP

Answer 1

To calculate the free energy change (ΔG°) for the reaction of fructose + ATP → fructose 1-phosphate + ADP, we can use the concept of Gibbs free energy and apply the equation:

ΔG° (overall reaction) = ΔG° (sum of products) - ΔG° (sum of reactants)

Given:
ΔG° for the hydrolysis of fructose-1-phosphate = -16.0 kJ/mol
ΔG° for the hydrolysis of ATP = -30.5 kJ/mol

The reaction we want to calculate the ΔG° for is:

fructose + ATP → fructose 1-phosphate + ADP

From the given information, we can break down the reactants and products:

Sum of reactants:
fructose + ATP

Sum of products:
fructose 1-phosphate + ADP

Now, we can calculate the ΔG° for the overall reaction:

ΔG° (overall reaction) = ΔG° (sum of products) - ΔG° (sum of reactants)
ΔG° (overall reaction) = (-16.0 kJ/mol) + (-30.5 kJ/mol)

ΔG° (overall reaction) = -46.5 kJ/mol

Therefore, the free energy change (ΔG°) for the reaction of fructose + ATP → fructose 1-phosphate + ADP is -46.5 kJ/mol.