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Question

Determine ΔH/kJ for the following reaction using the listed enthalpies of reaction:
4CO(g)+8H2(g)3CH4(g)+CO2(g)+2H2O(l)


C(graphite)+1/2O2(g)CO(g);ΔH/kJ=110.5kJ

CO(g)+1/2O2(g)CO2(g);ΔH/kJ=282.9kJ

H2(g)+1/2O2(g)H2O(l);ΔH/kJ=285.8kJ

C(graphite)+2H2(g)CH4(g);ΔH/kJ=74.8kJ

A
-622.4
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B
-686.2
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C
-747.5
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D
-653.5
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Solution

The correct option is B -747.5
4CO(g)+8H2(g)3CH4(g)+CO2(g)+2H2O(l)

C(graphite)+1/2O2(g)CO(g);ΔH/kJ=110.5kJ ---1

CO(g)+1/2O2(g)CO2(g);ΔH/kJ=282.9kJ ----2

H2(g)+1/2O2(g)H2O(l);ΔH/kJ=285.8kJ ----- 3

C(graphite)+2H2(g)CH4(g);ΔH/kJ=74.8kJ ----- 4

Applying Hess's law,
ΔHr=3×(ΔH1)+ΔH2+2×ΔH3+3×ΔH4

ΔHr=[3(110.5)282.9+2(285.8)+3(74.8)]
ΔHr=747.4 kJ

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