To calculate the standard Gibbs free energy change G for the reaction, we can use the following equation:G = Gf products - Gf reactants For the given reaction:2NO g + O2 g 2NO2 g G = [2 Gf NO2 g ] - [2 Gf NO g + Gf O2 g ]Now, we can plug in the given values:G = [2 -51.29 kJ/mol ] - [2 86.67 kJ/mol + 0 kJ/mol]G = -102.58 kJ/mol - 173.34 kJ/mol G = -275.92 kJ/molThe standard Gibbs free energy change G for the reaction is -275.92 kJ/mol.