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The enthalpy of atomisation for the reaction CH_{4}(g)\rightarrow C(g) + 4H (g)\; is \; 1665 \; kJ mol^{-1}. What is the bond energy of C-H bond?

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The reaction presented in the question is

CH_{4}(g)\rightarrow C(g) + 4H (g)

Now, \Delta _{a} H = 1665 \; kJ / mol^{-1}

The mean bond enthalpy of the C-H bond should be used here. For the atomisation of 4 moles of C-H bonds, the value is 1665 kJ/mol-1  So, per mole energy = 1665/4 = 416.2 kJ / mol-1

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