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Question

Given C(graphite)+O2(g)CO2(g);

ΔfH=393.5 kJmol1

H2(g)+12O2(g)H2O(l)

ΔfH=285.8 kJmol1

CO2(g)+2H2O(l)CH4(g)+2O2(g)

ΔfH=+890.3 kJmol1

Based on the above thermochemical equations, the value of ΔfH at 298 K for the reaction

C(graphite)+2H2(g)CH4(g) will be:

A
+144.0 kJmol1
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B
74.8 kJmol1
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C
144.0 kJmol1
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D
+74.8 kJmol1
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Solution

The correct option is B 74.8 kJmol1
C(graphite)+O2(g)CO2(g); ΔfH=393.5 kJmol1(1)

H2(g)+12O2(g)H2O(l); ΔfH=285.8 kJmol1(2)

CO2(g)+2H2O(l)CH4(g)+2O2(g); ΔHf=+890.3 kJmol1(3)

C(graphite)+2H2(g)CH4(g); ΔH=?(4)

[Eq.(1) + Eq.(3)] + [2×Eq.(2)]=Eq.(4)

[ΔH1+ΔH3]+[2×ΔH2]=ΔH4

[(393.5)+(890.3)]+[2(285.8)]=74.8kJmol1

=74.8 kJmol1

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