To calculate the standard Gibbs free energy change G for the reaction A + 2B 2C, we can use the following equation:G = Gf products - Gf reactants where Gf represents the standard Gibbs free energy of formation for each substance.For this reaction, the equation becomes:G = [2 * Gf C ] - [Gf A + 2 * Gf B ]Now, we can plug in the given values for the standard Gibbs free energy of formation for A, B, and C:G = [2 * -120 kJ/mol ] - [100 kJ/mol + 2 * -50 kJ/mol ]G = -240 kJ/mol - 100 kJ/mol - 100 kJ/mol G = -240 kJ/molSo, the standard Gibbs free energy change for the reaction A + 2B 2C at 298 K is -240 kJ/mol.