To calculate the enthalpy change for the reaction, we can use the following formula:H reaction = Hf products - Hf reactants For this reaction, we have:H reaction = [Hf CO2 + 2 * Hf H2O ] - [Hf CH4 + 2 * Hf O2 ]Since the enthalpy of formation for an element in its standard state is zero, Hf O2 = 0 kJ/mol. Now we can plug in the given values:H reaction = [ -393.5 kJ/mol + 2 * -285.8 kJ/mol ] - [ -74.8 kJ/mol + 2 * 0 kJ/mol ]H reaction = -393.5 kJ/mol - 571.6 kJ/mol - -74.8 kJ/mol H reaction = -965.1 kJ/mol + 74.8 kJ/molH reaction = -890.3 kJ/molSo, the enthalpy change for the reaction is -890.3 kJ/mol.