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Q.

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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a

U/2

b

U

c

2U

d

4U

answer is D.

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Detailed Solution

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Lattice energy =-q1q2r2

Where q1​ and q2​ are charges on ions and r is the distance between them.

Since inter-ionic distances in CaO and NaCl are similar, (larger cation has smaller anion and vice-versa) therefore r is almost the same.

Therefore, lattice energy depends only on the charge. Since the magnitude of charge on Na+ and Cl ions is unity and that on Ca2+ and O2− ions is 2 each, therefore, the lattice energy of CaO is four times the lattice energy of NaCl ie. 4U.

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