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.