A. 100 kJ `mol^(-1)`
B. 800 kJ `mol^(-1)`
C. 300 kJ `mol^(-1)`
D. 400 kJ `mol^(-1)`
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Correct Answer – D
Suppose bond dissociation energy of XY `=akJ mol^(-1) , i.e., `BE ( XY )= a . Then BE `9X_(2)0= a, BE(Y_(2))= 0.5 a`
Aim `: (1)/(2) X_(2)+ (1)/(2) Y_(2) rarr XY`
`Delta_(r)H = BE` ( Reactants ) – BE ( Products )
`= [ (1)/(2) BE (X_(2)) + (1)/(2) BE(Y_(2)) ] = BE(XY)`
`:. – 200 = ((a)/(2) + (0.5a)/( 2)) -a`
or ` – 200 = – 0.25 a` or `a= 800 kJ mol^(-1)`
Correct Answer – A
Given `(1)/(2)X_(2)+(1)/(2)Y_(2) rarr XY,DeltaH=-200kJ mol^(-1)` Let bond dissociation energy of `X_(2),Y_(2)` and `XY` be `a:(a)/(2)a(` the ratio given `)`
`X_(2) rarr 2X, DeltaH=a ….(1)`
`Y_(2) rarr 2Y, DeltaH=(a)/(2) …(2)`
`XY rarr X+Y, DeltaH=a …..(3)`
By `eq. (1)+(2)-(3)xx2`
`X_(2)+Y_(2) rarr 2XY`
`Delta H=a+(a)/(2)-2a`
or `(1)/(2)X_(2)+(1)/(2)Y_(2) rarr XY,`
`DeltaH=(a)/(2)+(a)/(2)-a=-(a)/(4)`
`:. -(a)/(4)=-200`
`:. a=800kJ mol^(-1)`
Correct Answer – B
`XYrarrX_((g))+Y_((g)), DeltaH=+”a kJ/mole”^(-1)” ………(i)”`
`X_(2)rarr2X, DeltaH=+” a kJ/mole …..(ii)”`
`Y_(2)rarr2Y, DeltaH=+0.5″ a kJ/mole …….(iii)”`
`(1)/(2)xx(ii)+(1)/(2)xx(iii)-(i)`, gives
`(1)/(2)X_(2)+(1)/(2)Y_(2)rarrXY,`
`DeltaH=(+(a)/(2)+(0.5)/(2)a-a)”kJ/mole”`
`+(a)/(2)+(0.5a)/(2)-a=-200`
a = 800