The dissolution of solid in water is endothermic

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

The dissolution of solid KNO3\text{KNO}_3 in water is endothermic, yet the salt readily dissolves at 25 ∘C25\,^{\circ}\text{C}. Which statement best accounts for the spontaneity of this process? (a) The hydration enthalpy released when the K+\text{K}^+ and NO3−\text{NO}_3^- ions interact with water is large enough to make ΔH∘\Delta H^{\circ} negative, so ΔG∘\Delta G^{\circ} is negative. (b) At 25 ∘C25\,^{\circ}\text{C} the term TΔS∘T\Delta S^{\circ} becomes negative and subtracts from the positive ΔH∘\Delta H^{\circ}, giving an overall negative ΔG∘\Delta G^{\circ}. (c) The large increase in the disorder of the ions and surrounding water molecules produces a positive ΔS∘\Delta S^{\circ} that outweighs the positive ΔH∘\Delta H^{\circ}, making ΔG∘\Delta G^{\circ} negative. (d) Because water is highly polar, ionic compounds dissolve spontaneously regardless of the signs of ΔH∘\Delta H^{\circ} and ΔS∘\Delta S^{\circ}.

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