Q43. 
Ans : option b. 
How?

Q43. Which of the following formula has involved all the energy terms used to calculated  H ƒ °   of   Na 2 O s  ( Hsb: Sublimation energy ; LE1 : First ionisation energy; LE2 : Second ionisation energy ; B.D.E, ; Bond dissosiation energy ; E. G.E1: First electron gain enthalpy ; E.G.E2 : Second electron gain enthalpy ; U : Lattice energy)

          (A) + 2 Hsb + LE1 + LE2 B . D . E 2 +   E . G . E 1 + E . G . E 2 + U

          (B) + 2 Hsb +2LE1 B . D . E 2 +   E . G . E 1 + E . G . E 2 + U

          (C) + 2 Hsb +2LE1  +  + B . D . E 2 + 2 E . G . E 1 + U

          (D) + 2 Hsb + LE1 +   B . D . E 2 +   E . G . E 1 + E . G . E 2 + U
        
              

Reaction of formation: 2Na(g) + 0.5O2(g) → Na2O(s) 
Note that 0.5O2 represents half mole of O2, and not half molecule, wihch is meaningless.

Now, Na, which is a solid has to be sublimated for the reaction to take place; there are 2 moles of Na: 2∆HSb
Now, Na has to be ionized once to form Na+; there are 2 moles of Na: 2IE1
Now, O2 has to be broken into 2O, that is, the O=O bond has to be broken (dissociated); there are 0.5 moles of O2: (1/2) BDE
Note that when 0.5 moles O2 is dissociated, we will have 0.5 * 2= 1 mole of O.
Now, 2 electrons have to be added successively (one after the other) to O to form O2-; there is 1 mole of O: 1(EGE1 + EGE2)
Now, Na2O, which is formed in gaseuos phase has to be convereted into a solid lattice; there is 1 mole of Na2O: 1(U)

Hence, total ∆Hf= 2∆Hsb + 2IE1 + (1/2)BDE + EGE1 + EGE2 + U
Hence, correct option is (B).

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