Final answer:
Based on the given information, we can conclude that |-ΔHsolute| > |ΔHhydration|. The enthalpy of solution, which is -37.00 kJ/mol in this case, represents the heat released when the solute particles are dissolved in water. ΔHhydration must be greater in magnitude than |-ΔHsolute| in order for the dissolution process to be exothermic.
Step-by-step explanation:
Based on the given information, we can conclude that |-ΔHsolute| > |ΔHhydration|.
The enthalpy of solution, which is -37.00 kJ/mol in this case, represents the heat released when the solute particles are dissolved in water. Since this value is negative, it indicates an exothermic process where heat is being released.
On the other hand, ΔHhydration represents the heat absorbed when the solute particles are surrounded by water molecules. This value is not given in the question, but based on the given options, we can infer that it must be greater in magnitude than |-ΔHsolute| because ΔHhydration is typically positive in order for the dissolution process to be exothermic. Therefore, |ΔHhydration| > |-ΔHsolute|.