Calculate the standard enthalpy, entropy, and Gibbs free energy at 298 K for each of the following reactions by using data in Appendix 2A. For each case, confirm that the value obtained from the Gibbs free energies of formation is the same as that obtained by using the relation ΔG° = ΔH° – TΔS°.

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(a) the oxidation of magnetite to hematite: 2 Fe3O4(s) + O₂(g) → 3 Fe₂O3 (s) (b) the dissolution of CaF₂ in water: CaF₂(s) → CaF₂ (aq) (c) the dimerization of NO₂: 2 NO₂(g) → N₂O4(g)