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Question

For two ionic compounds XY and AB, the data of their lattice energy and hydration energy is given as:
CompoundLattice energy (kJ/mol)Hydration energy(kJ/mol)XY4001000AB6002000
What will be the correct order of solubility in water?

A
AB > XY
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B
XY > AB
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C
XY = AB
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D
Can't be predicted
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Solution

The correct option is A AB > XY
More is the difference in lattice energy (cost) and hydration energy (gain), more will be the solubility of a given compound.
For XY,
Hydration energy - Lattice energy
= 1000 kJ/mol - 400 kJ/mol
=600 kJ/mol
For AB,
Hydration energy - Lattice energy
= 2000 kJ/mol - 600 kJ/mol
= 1400 kJ/mol
So, the difference in lattice energy and hydration energy is more for AB as compared to XY. Hence, AB is more soluble in water.

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