Calcium hydroxide dissolves slightly in water according to the equation Ca(OH)₂(s) →…

CHEMISTRY · Multi-part · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

Calcium hydroxide dissolves slightly in water according to the equation Ca(OH)₂(s) → Ca²⁺(aq) + 2 OH⁻(aq) Standard molar entropies at 298 K are given below. Species S° (J·mol⁻¹·K⁻¹) Ca(OH)₂(s) 83.4 Ca²⁺(aq) −53.1 OH⁻(aq) −10.5 Assume that the activities of all aqueous species are unity. (1) Part 1: Write the balanced dissolution equation shown above in words, identifying the physical state of each species. (2) Part 2: Calculate the standard entropy change ΔS∘\Delta S^\circ for the dissolution process at 298 K. (3) Part 3: The standard enthalpy change for dissolution is ΔH∘=+16.7 kJ mol−1\Delta H^\circ = +16.7\,\text{kJ}\,\text{mol}^{-1}. Compute the standard Gibbs free-energy change ΔG∘\Delta G^\circ at 298 K and determine whether the dissolution of Ca(OH)₂ is thermodynamically favorable under standard conditions. (4) Part 4: Discuss two factors, other than the sign of ΔG∘\Delta G^\circ, that influence the observed solubility of Ca(OH)₂ in water at room temperature.

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