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Question

Bond dissociation energy of CH3H bond is 103 kcal mol1 and heat of formation of CH4(g) as 17.88 kcal mol1. The dissociation energy of H2(g) into H atoms is 103 kcal/mol. The heat of formation of methyl radical is ?

A
3.61 kcal mol1
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B
3.61 kcal mol1
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C
33.61 kcal mol1
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D
33.61 kcal mol1
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Solution

The correct option is C 33.61 kcal mol1
Given-
BECH3H=103 kcal mol1 &
ΔHf=17.88 kcal mol1

The required reaction is,
CH4(g)CH3(g)+H(atom,g)

=Hf(CH3,g)+Hf(H atom,g)Hf(CH4,g)
(Hf)CH3,g=1031032+(17.889)=33.611 kcal mol1
Heat of formation of methyl radical is H=33.611 kcal mol1

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