The standard enthalpy change for the combustion of methane CH4 can be found using the standard enthalpies of formation for the reactants and products involved in the reaction. The balanced chemical equation for the combustion of methane is:CH4 g + 2 O2 g CO2 g + 2 H2O l The standard enthalpies of formation Hf for the substances involved are:Hf CH4 = -74.8 kJ/molHf O2 = 0 kJ/mol since O2 is in its standard state Hf CO2 = -393.5 kJ/molHf H2O = -285.8 kJ/molUsing Hess's Law, the standard enthalpy change for the combustion of methane Hc can be calculated as:Hc = [Hf CO2 + 2 Hf H2O ] - [Hf CH4 + 2 Hf O2 ]Hc = [-393.5 + 2 -285.8 ] - [-74.8 + 2 0]Hc = -393.5 - 571.6 - -74.8 Hc = -965.1 + 74.8Hc = -890.3 kJ/molTherefore, the standard enthalpy change for the combustion of methane CH4 at 298 K and 1 atm pressure is -890.3 kJ/mol.