Solubility of any solute, in a solvent, is a function of the temperature. As the temperature increases, the kinetic energy of the molecules of solute increase and more and more molecules break free from the intermolecular bonds holding them together. In the case of solids, intermolecular forces are very high (as compared to liquids and gases) and an increase in temperature generally results in increased solubility. This is due to the increased kinetic energy of molecules, which enables them to escape the solid phase. In comparison, intermolecular forces are very weak in the case of gases and an increased temperature causes molecules to achieve greater kinetic energy and thus escape from the solvent. Hence, the solubility of gases decreases with an increase in temperature.
Among the given solids, the solubility of all but one decreases with an increase in temperature. Only `Ce_2(SO_4)_3` has a decrease in solubility for a temperature increase initially, before its solubility stays constant. Among the given choices, this is the only solid that behaves somewhat similar to gases.
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