To calculate the change in Gibbs free energy for the reaction, we can use the following equation:G = Gf products - Gf reactants For the given reaction:H2 g + I2 g 2HI g The products are 2 moles of HI and the reactants are 1 mole of H2 and 1 mole of I2. Using the provided standard molar free energy of formation values, we can plug them into the equation:G = [2 * -17.4 kJ/mol ] - [ 0 kJ/mol + 0 kJ/mol ]G = -34.8 kJ/mol - 0 kJ/mol G = -34.8 kJ/molThe change in Gibbs free energy for the reaction between hydrogen gas and iodine gas that forms hydrogen iodide gas is -34.8 kJ/mol.