CaO And NaCl Have The Same Crystal Structure And Approximately The Same Ionic Radii. If U Is The Lattice Energy Of NaCl, The Approximate Lattice Energy Of CaO Is

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Question

CaO and NaCl have the same crystal structure and approximately the same ionic radii. If U is the lattice energy of NaCl, the approximate lattice energy of CaO is

Solution

Correct option is

4U

Lattice energy, 

Since, interionic distances in CaO and NaCl are similar, (larger cation has smaller anion and vice versa) r is almost the same. Therefore, lattice energy depends only on charge.  

Since, the magnitude of charge on  ions is same ie, unity and that on  ions is 2 each, therefore, the lattice energy of CaO is four times the lattice energy of NaCl, ie, 4U.  

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