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AB, A2 and B2 are diatomic molecules. If the bond enthalpies of A2, AB and B2 are in the ratio 1:1 :0.5

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AB, A2 and B2 are diatomic molecules. If the bond enthalpies of A2, AB and B2 are in the ratio 1:1 :0.5 and enthalpy of formation of AB from A2 and B2 is –100 kJ mol-1. What is the bond energy of A2:

(a) 200 kJ mol-1

(b) 100 kJ mol-1

(c) 300 kJ mol-1

(d) 400 kJ mol-1

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(d) 400 kJ mol-1

Explanation:

Let bond energy of A2 be x then bond energy of AB is also x and bond energy of B2 is x/2.

Enthalpy of formation of AB is -100 kJ/mole:

A2 + B2 → 2AB

1/2A2 + 1/2B2 → 2AB; ΔH = -100kJ

or - 100 = (1x/2 + x/4) - x

∴ -100 = (2x + x - 4x)/4

∴ x = 400 kJ mol-1

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