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AB, A(2) and B(2) are diatomic molecule...

`AB, A_(2) and B_(2)` are diatomic molecules. If the bond enthalpies of `A_(2), AB, and B_(2)` are in the ratio 1 : 1 : 0.5 and the enthalpy of formation of AB from `A_2` is `-100 kJ mol^(-1)`, what is the bond enthalpy of `A_(2)` in kJ ?

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The correct Answer is:
A

`(1)/(2)A-A+(1)/(2)B-B rarrAB" " Delta H= -100 KJ//"mole"`
`(1)/(2)xx+(1)/(2)(0.5 x)-x= -100" " rArr" "(x)/(2)+0.25x-x= -100`
`rArr - 0.25xx= - 100" " rArr" " x=400 KJ//"mole"`
Bond enthalpy `=400 kJ//mol`.
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