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Question

Given,

C(s)+O2(g)CO2(g) ΔH=+94.2 kcal
H2(g)+12O2(g)H2O(l)+68.3 ΔH= kcal

CH4(g)+2O2(g)CO2(g)+2H2O(l) ΔH=+210.8 kcal
The heat of formation of methane in kcal will be:

A
45.9
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B
47.8
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C
20.2
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D
47.3
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Solution

The correct option is C 20.2
The thermochemical reactions are as given below.
C(s)+O2(g)CO2(g) ΔH=+94.2 kcal -----------(1)

H2(g)+12O2(g)H2O(l) ΔH=+68.3 kcal ----------(2)

CH4(g)+2O2(g)CO2(g)+2H2O(l) ΔH=+210.8 kcal --------------(3)

C(s)+H2(g)CH4(g)
The equation (2) is multiplied by two and equation (3) is reversed. They are then added to the equation (1).
Hence, the heat of formation of methane is 94.2+2(68.3)210.8=+20.2 kcal

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