Final answer:
The free energy change for ATP synthesis is +30.5kJ/mol, which is the opposite of the -30.5kJ/mol released during ATP hydrolysis because the reactions are reversible.
Step-by-step explanation:
If the free energy change for ATP hydrolysis is -30.5kJ/mol, the free energy change for ATP synthesis would be the opposite, which is +30.5kJ/mol. This is because the reactions are reversible, and the synthesis of ATP from ADP and inorganic phosphate (Pi) would require an input of energy equivalent to the amount released during hydrolysis. For every mole of ATP formed, 30.5 kJ of energy must be invested in the reaction.