Q.

The formation enthalpies, ΔHf for H(g) and O(g) are 220.0 and 250.0 kJ mol-1, respectively, at 298.15 K, and ΔHf for H2O(g) is -242.0 kJ mol-1 at the same temperature.  The average bond enthalpy of the O-H bond in water at 298.15 K is ______ kJ mol-1 (nearest integer).         [2025]
 


Ans.

(466)

H2O(g)2H(g)+O(g), ΔHr 

ΔHr=ΔHB.E(reactants)-ΔHB.E(products)

        =ΔHf(products)-ΔHf(reactants)

[2×B.E(O-H)]-[2×B.E(H)+B.E(O)]

    =[2×ΔHf(H)+ΔHf(O)]-[ΔHf(H2O)]

[2×B.E(O-H)]-[0]=[2×220+250]-[-242]

B.E (O-H)=466 kJ mol-1