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A2+B22AB.ΔHf=-200 kJ mol-1

AB, A2 and B2 are diatomic molecules. If the bond enthalpies of A2, B2 and AB are in the ratio1:0.5:1, then the bond enthalpy of A2 is_________kJ mol1 (Nearest integer)

ChemistryThermodynamics (C)JEE MainJEE Main 2023 (13 Apr Shift 1)
Solution:
2769 Upvotes Verified Answer
The correct answer is: 800

First write balanced reaction for the formation of one mole of AB with the help of diatomic molecule:

12A2+12B2AB     ΔHf=-200 kJ/mol

Now, 

Hreaction=12HA-A+12HB-B-HAB     let, HAB=x 

12x+12(0.5x)-x=-200    x2+0.25x-x=-200

  -0.25x=-200    x=800 kJ/mol

Bond enthalpy =800 kJ/mol.

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