For the combustion of methane at 298 K,
CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(l),
complete the tasks below.
• Using the standard enthalpies of formation
ΔHf∘(CH4, g) = –74.8 kJ mol–1
ΔHf∘(CO2, g) = –393.5 kJ mol–1
ΔHf∘(H2O, l) = –285.8 kJ mol–1,
calculate ΔH298∘ for the reaction.
• An alternative route proceeds through the sequence
1. CH4(g) → C(graphite) + 2 H2(g) ΔH∘ = +74.9 kJ
2. C(graphite) + O2(g) → CO2(g) ΔH∘ = –393.5 kJ
3. 2 H2(g) + O2(g) → 2 H2O(l) ΔH∘ = –571.6 kJ
Sum these steps to obtain a second value of ΔH298∘. Do the two values agree within 1 kJ? Provide both numerical results and your conclusion.