Answer:
ΔHrxn for the combustion of CH4 =802 kJ
Step-by-step explanation:
Enthalpy of combustion is the amount of heat released when 1 mole of a substance buring completely in the presence of air or oxygen. The given reaction is:

The enthalpy of combustion of methane can be deduced using the following equation:

where np and nr are the number of moles of products and reactants
ΔH⁰f are the standard enthalpies of formation of the respective reactants and products
![\Delta Hrxn = [2\Delta H_(f)^(0)(H2O)+1\Delta H_(f)^(0)(CO2)]-[1\Delta H_(f)^(0)(CH4)+ 2\Delta H_(f)^(0)(O2)]](https://img.qammunity.org/2017/formulas/chemistry/high-school/2sk1shkprtw34mnbxiadpaylnlo5n1m5nr.png)
Substituting the given data:
ΔH = [2(928) + 1(1598)] - [1(1656) + 2(498)] = 802 kJ