Chemistry

Chemistry

Problem

Explain whether heating a salt with ΔHdiss∘>0\Delta H^{\circ}_{\text{diss}} > 0 and ΔSdiss∘>0\Delta S^{\circ}_{\text{diss}} > 0 will increase, decrease, or have no effect on its spontaneity of dissolution. Justify in terms of the signs of ΔH∘\Delta H^{\circ} and TΔS∘T\Delta S^{\circ}.
Intuitive explanation

Spontaneity depends on the competition between enthalpy and entropy in the Gibbs free energy equation ΔG°=ΔH°−TΔS°\Delta G° = \Delta H° - T\Delta S°. When both ΔH°\Delta H° and ΔS°\Delta S° are positive, heating increases the TΔS°T\Delta S° term, which grows faster than the positive ΔH°\Delta H° term stays constant. Eventually TΔS°T\Delta S° dominates, making ΔG°\Delta G° more negative and the dissolution more spontaneous—heat tips the balance toward entropy's favor.

Intuitive explanation

Spontaneity depends on the competition between enthalpy and entropy in the Gibbs free energy equation ΔG°=ΔH°−TΔS°\Delta G° = \Delta H° - T\Delta S°. When both ΔH°\Delta H° and ΔS°\Delta S° are positive, heating increases the TΔS°T\Delta S° term, which grows faster than the positive ΔH°\Delta H° term stays constant. Eventually TΔS°T\Delta S° dominates, making ΔG°\Delta G° more negative and the dissolution more spontaneous—heat tips the balance toward entropy's favor.

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