In order to calculate the enthalpy of the reaction, we first calculate the heat released using the given formula.
Q = mcΔT
Q = 1000 x 4.184 x (35.65 - 24.85)
Q = 45187.2 J = 45.2 kJ
Now, we determine the moles of methane that were burned.
Moles = mass / Mr
Moles = 1.11 / (12 + 4)
Moles = 0.07
The enthalpy of a reaction is the energy released per mole, so the enthalpy in this case is:
ΔH = 45.2 / 0.07
ΔH = 645.7 kJ/mol