Lattice energy
The amount of energy required to convert one mole of an ionic solid into gaseous ionic constituents
Or
The amount of energy released when one mole of ionic solid is formed from its gaseous ionic constituents.
Hydration energy
Hydration energy is an amount of energy which is released on hydration of one mole number of ions. When the solvent is not water is known as a solvation energy.
Condition for a substance to become soluble
The solubility of a compound in water depends on the balance between lattice energy and hydration energy. When hydration energy of any ion overcomes the amount of lattice energy the bond dissociates, and solubility occurs.
Explanation
BeO is almost insoluble in water and BeSO4 is soluble in water. Because Be2+ is a small cation with a high polarising power and O2− is a small anion. The size compatibility of Be2+ and O2− is high. Therefore, the lattice energy released during their formation is also very high.
When BeO is dissolved in water, the hydration energy of its ions is not sufficient to overcome the high lattice energy. Therefore, BeO is insoluble in water.
Hence, BeO is almost insoluble but BeSO4 is soluble in water
Lattice energy
The amount of energy required to convert one mole of an ionic solid into gaseous ionic constituents
Or
The amount of energy released when one mole of ionic solid is formed from its gaseous ionic constituents.
Hydration energy
Hydration energy is an amount of energy which is released on hydration of one mole number of ions. When the solvent is not water is known as a solvation energy.
Condition for a substance to become soluble
The solubility of a compound in water depends on the balance between lattice energy and hydration energy. When hydration energy of any ion overcomes the amount of lattice energy the bond dissociates, and solubility occurs.
Explanation
BaO is soluble in water, but BaSO4 is not. Ba2+ is a large cation and O2− is a small anion. The size compatibility of Ba2+ and O2− is not high. As a result, BaO is unstable.
The lattice energy released during its formation is also not very large. It can easily be overcomed by the hydration energy of the ions. Therefore, BaO is soluble in water.
In case of BaSO4, Ba2+ and SO2−4 are both large-sized, the hydration energy is lower than its lattice energy.
When BaSO4 is dissolved in water, the hydration energy of its ions is not sufficient to overcome the high lattice energy. So, it is not soluble in water.
Hence, BaO is soluble but BaSO4 is insoluble in water.
Explanation
Lil is more soluble than Kl in ethanol. Because lithium ion small in size compared to potassium ion, due to this lithium ion has a higher polarising power than the potassium ion. It polarises the electron cloud of the iodide ion to a much greater extent than the potassium ion.
This causes a greater covalent character in Lil than in Kl. And as we know ethanol also is covalent in nature. So Lil become more soluble in ethanol.
Hence, Lil is more soluble in ethanol compared to Kl