The enthalpy of combustion of methane, graphite and dihydrogen at 298 K are, –890.3 kJ mol–1 –393.5 kJ mol–1, and –285.8 kJ mol–1 respectively. Enthalpy of formation of CH4(g) will be

(i) –74.8 kJ mol–1 (ii) –52.27 kJ mol–1


(iii) +74.8 kJ mol–1 (iv) +52.26 kJ mol–1

Given,


We need to find enthalpy change for reaction


ΔH5 = ΔH(CH4)


ΔH1 = ΔH(CO2) + 2ΔH(H2O) – ΔH(CH4)


ΔH2 = ΔH(CO2)


ΔH4 = 2ΔH(H2O)


Thus,


ΔH(CH4) = ΔH2 + ΔH4 – ΔH1


= -393.5 + (-571.68) + 890.3


= - 73.8 KJ


Thus, answer is (i) –74.8 kJ mol–1


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