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Question

If the bond dissociation energies of XY, X2 and Y2 (all diatomic molecules) are in the ratio of 1 : 1 : 0.5 and ΔfH for the formation of XY is 200 kJ/mol, the bond dissociation energy of X2 will be:


A
100 kJ/mol
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B
200 kJ/mol
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C
800 kJ/mol
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D
400 kJ/mol
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Solution

The correct option is C 800 kJ/mol
Let the bond dissociation energies of XY, X2 and Y2 be x, x and 0.5x kJ/mol respectively.
12X2+12Y2XY; ΔHf=200 kJ/mol
ΔH=12ΔH(X2)+12ΔH(Y2)ΔH(XY)200=12x+0.5x2x
0.25x=200
x=2000.25=800 kJ/mol

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