To calculate the Gibbs free energy change G for the reaction, we can use the following equation:G = Gf_products - Gf_reactants For the given reaction:2H2 g + O2 g 2H2O l The products are 2 moles of H2O l , and the reactants are 2 moles of H2 g and 1 mole of O2 g .Using the given standard Gibbs free energy of formation data:Gf kJ/mol :H2 g = 0O2 g = 0H2O l = -237.14We can now plug these values into the equation:G = [2 -237.14 ] - [ 2 0 + 1 0 ]G = -474.28 - 0G = -474.28 kJ/molThe Gibbs free energy change G for the reaction is -474.28 kJ/mol.