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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Chemistry
Chapter
Thermodynamics (C)

AIIMS 2010 · Chemistry · Thermodynamics (C)

CaO and NaCl have the same crystal structure and approximately the...

CaO\mathrm{CaO} and NaCl\mathrm{NaCl} have the same crystal structure and approximately the same ionic radii. If UU is the lattice energy of NaCl\mathrm{NaCl}, the approximate lattice energy of CaO\mathrm{CaO} is

Options

  1. AU/2U / 2
  2. BUU
  3. C2U2 U
  4. D4U4 U

Correct answer

D. 4U4 U

Step-by-step solution

 Lattice energy =−q1q2r2\text{ Lattice energy }=-\frac{q_1 q_2}{r^2}where q1q_1 and q2q_2 are charges on ions and rr is the distance between them. Since interionic distances in CaO\mathrm{CaO} and NaCl\mathrm{NaCl} are similar, (larger cation has smaller anion and vice versa) therefore, rr is almost the same. Therefore, lattice energy depends only on charge. Since the magnitude of charge on Na+\mathrm{Na}^{+} and Cl−\mathrm{Cl}^{-}ions is unity and that on Ca2+\mathrm{Ca}^{2+} and O2−\mathrm{O}^{2-} ions is 2 each, therefore, the lattice energy of CaO\mathrm{CaO} is four times the lattice energy of NaCl\mathrm{NaCl}, i.e., 4U4 U.
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