To determine the standard enthalpy change for the formation of methane gas CH4 from its constituent elements C and H2 , we need to consider the balanced chemical equation for the formation of methane:C graphite + 2 H2 g CH4 g The standard enthalpy change for this reaction H can be calculated using the following equation:H = Hf products - Hf reactants Given that the standard enthalpy of formation for both C graphite and H2 g is 0 kJ/mol, we only need to find the standard enthalpy of formation for CH4 g . The standard enthalpy of formation for methane gas CH4 is -74.8 kJ/mol.Now, we can calculate the standard enthalpy change for the formation of methane:H = -74.8 kJ/mol - 0 kJ/mol + 0 kJ/mol = -74.8 kJ/molTherefore, the standard enthalpy change for the formation of methane gas CH4 from its constituent elements C and H2 is -74.8 kJ/mol.