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The standard enthalpy of formation of NH3 is 46.0 kJ/mol. If the enthalpy of formation of H2 from its atoms is -436 kJ/mol and that of N2 is -712 kJ/mol, the average bond enthalpy of N — H bond in NH3 is:
a) -1102 kJ/mol
b) -964 kJ/mol
c) +352 kJ/mol
d) +1056 kJ/mol

Answer
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Hint: Bond dissociation enthalpy/energy is defined as the amount of energy required to dissociate a particular bond present in a compound. It is done via homolytic fracture which produces the radical species as a result.
N2+BondEnergy2N

Complete step by step solution:
The chemical reaction for the formation of Ammonia (NH3) can be given as:
12N2+32H2NH3
We have been given in the question that the:
Standard enthalpy of formation of NH3 (ΔfH) = 46.0 kJ/mol.
Enthalpy of formation or Bond enthalpy of H2 from its atoms (ΔHH2)= -436 kJ/mol
Enthalpy of formation or Bond enthalpy of N2 from its atoms (ΔHN2) = -712 kJ/mol
We know that,
 Δ Hrxn=Bond enthalpy ofproduct-Bond enthalpyofreactants
ΔfH=[12ΔHN2+32ΔHH2]3[ΔHNH]
Putting the values in above equation, we get,
46=[12×712+32×436]3[ΔHNH]
After rearranging,
3[ΔHNH]=1010+46
[ΔHNH]=10533
[ΔHNH]=+352kJmol1
Therefore, the average bond enthalpy of N-H bond in NH3 is +352kJmol1.
So, the correct option is (c).

Note: Enthalpy of formation or bond formation enthalpy is given in the question is negative but the reaction mechanism we have taken in the answer involves bond breaking. Hence, the values need to be taken as positive.
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