The correct calculation is:
ΔH = ΔHf (products) - ΔHf (reactants)
ΔH = [(-890 kJ/mol) - (2*(-286 kJ/mol))] - (-394 kJ/mol)
ΔH = (-890 kJ/mol + 572 kJ/mol) - (-394 kJ/mol)
ΔH = -318 kJ/mol
Therefore, the standard enthalpy change of the reaction C(s) + 2H2(g) ® CH4(g) is -318 kJ. The option closest to this value is -318 kJ.
The table below shows some values for standard enthalpy changes of combustion.
Substance
incrementHc Ө / kJ mol−1
C(s)
−394
H2(g)
−286
CH4(g)
−890
Use these values in the table above to calculate the standard enthalpy change of the reaction
C(s) + 2H2(g) ® CH4(g)
-210 kJ
-604 kJ
-76 kJ
-318 kJ
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