To calculate the standard enthalpy change H for the reaction, we can use the following equation:H = [Hf products ] - [Hf reactants ]where Hf is the standard enthalpy of formation for each substance.The standard enthalpies of formation Hf for the substances involved in the reaction are as follows in kJ/mol :SO2 g : -296.8 kJ/molO2 g : 0 kJ/mol since it's an element in its standard state SO3 g : -395.7 kJ/molNow, we can plug these values into the equation:H = [2 -395.7 kJ/mol ] - [2 -296.8 kJ/mol + 1 0 kJ/mol]H = -791.4 kJ - -593.6 kJ H = -197.8 kJSo, the standard enthalpy change for the reaction at 298 K is -197.8 kJ.