delta G reaction = delta G products - delta G reactants.

Hydrogen peroxide is used as a bleachin agent, a disinfectant and medicinally as a topical antibacterial agent. Hydrogen peroxide decomposes according to the reacton
2H^2O^2(l)-->2H^2O(l)+o^2(g)

A. Given the standard free energy of formation values shown below, calculate the free energy change for this reaction.
Gf(H^2O^2)=-120.4kJ/mol
Gf(H^2O)=-237.1kJ/mol

To calculate the free energy change for the given reaction, we can use the equation:

ΔG reaction = ΔG products - ΔG reactants

First, we need to find the total free energy change for the products. According to the reaction equation, we have 2 moles of H2O and 1 mole of O2.

ΔG products = (2 mol H2O * ΔGf(H2O) + 1 mol O2 * ΔGf(O2))

Given:
ΔGf(H2O2) = -120.4 kJ/mol
ΔGf(H2O) = -237.1 kJ/mol

ΔG products = (2 * -237.1 kJ/mol) + (1 * 0 kJ/mol) = -474.2 kJ/mol

Now, we can find the free energy change for the reactant, which is 2 moles of H2O2.

ΔG reactants = 2 mol H2O2 * ΔGf(H2O2) = 2 * -120.4 kJ/mol = -240.8 kJ/mol

Finally, we can calculate the free energy change for the reaction.

ΔG reaction = ΔG products - ΔG reactants
ΔG reaction = -474.2 kJ/mol - (-240.8 kJ/mol)
ΔG reaction = -474.2 kJ/mol + 240.8 kJ/mol
ΔG reaction = -233.4 kJ/mol

Therefore, the free energy change for the reaction 2H2O2(l) -> 2H2O(l) + O2(g) is -233.4 kJ/mol.