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Question

Given, C(graphite+O2(g)CO2(g);ΔrHo=393.5 kJ mol1
H2(g)+12O2(g)H2O(l);ΔrHo=285.8 kJ mol1
CO2(g)+2H2O(l)CH4(g)+2O2(g);ΔrH6o=+890.3 kJ mol1
Based on the above thermochemical wquations, the value of DeltarHo at 298K for the reaction,
C(graphite)+2H2(g)CH4(g) will be:

A
78.8kJ mol1
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B
+144.0kJ mol1
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C
+74.8kJ mol1
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D
144.0kJ mol1
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Solution

The correct option is A 78.8kJ mol1

C+O2CO2 ΔHor=393.5 kJ/mol ………….(i)

H2+1/2O2H2O ΔHor=285.8 kJ/mol ………….(ii)

CO2+2H2OCH4+2O2 ΔHor=890.3 kJ/mol ………….(iii)

So multiplying eq (2) with 2 and adding all reactions we get

C+2H2CH4

ΔH=393.5+2×(285.8)+890.3

ΔH=74.8 kJ/mol


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