The gas that experiences combustion yields 2428 J of heat, which suggests that q will be negative.
q=−2428 J
Similarly, work done by the system means that work was done by the gas on the surrounds, which once again suggests a minus sign.
w=−6 kJ
Since the gas burns at constant pressure, the heat given off will also be the enthalpy change, ΔH
ΔH=q → at constant pressure;
Change J to kJ to get
2428J x 10^−3kJ/ 1J = 2.428 kJ
Since you're distributing with 1 mole, you can write:
ΔH=−2.428 kJ/mol
Now use this equation to determine ΔE
ΔE=q+w
ΔE=−2.428 kJ+(−6 kJ)=−8.428 kJ