
Concept explainers
Interpretation:
The heat of combustion of the given reactions is to be calculated with reference of standard enthalpies of formation listed in appendix 2.
Concept introduction:

Answer to Problem 68QP
Solution:
(a) −1411 kJ/mol
(b) −1124 kJ/mol
Explanation of Solution
a) C2H4(g)+3O2(g)→2CO2+2H2O(l)
The combustion of the given reaction is as follows:
C2H4(g)+3O2(g)→2CO2+2H2O(l)
From appendix 2,
ΔH°f(C2H4)=−52.3 kJ/molΔH°f(H2O)=−285.8 kJ/molΔH°f(CO2)=−393.5 kJ/mol
The enthalpy of the formation oxygen gas is zero because it is in its most stable form.
Calculate the standard enthalpy of the reaction:
ΔH°rxn={2ΔH°f[H2O(l)]+2ΔH°f[CO2(g)]}−{ΔH°f[C2H4(g)]+3ΔH°f[O2(g)]}
Substitute −52.3 kJ/mol for ΔH°f[C2H4(g)], −285.8 kJ/mol for ΔH°f[H2O(l)], −393.5 kJ/mol for ΔH°f[CO2(g)], and 0 for ΔH°f[O2(g)] in the above equation
ΔH°rxn=[2(−285.8 kJ/mol)+2(−393.5 kJ/mol)]−[(−52.3 kJ/mol)+3(0)]=(−571.6 kJ/mol−787 kJ/mol)−(52.3 kJ/mol)=−1411 kJ/mol
Hence, the value of the standard enthalpy of the reaction is −1411 kJ/mol.
b) 2H2S(g)+3O2(g)→2H2O(l)+2SO2(g)
The combustion of the given reaction is as follows:
2H2S(g)+3O2(g)→2H2O(l)+2SO2(g)
From appendix 2,
ΔH°f(H2S)=−20.15 kJ/molΔH°f(H2O)=−285.8 kJ/molΔH°f(SO2)=−296.4 kJ/mol
The enthalpy of the formation of oxygen gas is zero because it is in its most stable form.
Calculate the standard enthalpy of the given reaction as follows:
ΔH°rxn={2ΔH°f[SO2(g)]+2ΔH°f[H2O(l)]}−{2ΔH°f[H2S(g)]+3ΔH°f[O2(g)]}
Substitute −285.8 kJ/mol for ΔH°f(H2O), 0 for ΔH°f[O2(g)], −20.15 kJ/mol for ΔH°f[H2S(g)], and −296.4 kJ/mol for ΔH°f[SO2(g)] in above equation
ΔH°rxn=[2(−296.4 kJ/mol)+2(−285.8 kJ/mol)]−[2(−20.15 kJ/mol)+3(0)]=[−592.8 kJ/mol+(−571.6 kJ/mol)]−(−40.3 kJ/mol)=−1124 kJ/mol
Hence, the value of the standard enthalpy of the reaction is −1124 kJ/mol.
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