For the reaction BaCO 3 (s) BaO(s) + CO 2 (g), r G = +219.7

For the reaction BaCO₃(s) → BaO(s) + CO₂(g), 

Δ_rG° = +219.7 kJ/mol-rxn. Using this value and other data available in Appendix L, calculate the value of Δ_f G° for BaCO₃(s).

Data given in Appendix L

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TABLE 20 Species Aluminum Al(s) AICI 3(S) Al2O3(S) Barium BaCl₂(s) BaCO3(s) BaO(s) BaSO4(s) Beryllium Be(s) Be(OH)2(S) Boron BC13(g) Bromine Br(g) Br₂(e) Br₂(g) BrF3(g) HBr(g) Selected Thermodynamic A+H° (298.15 K) (kJ/mol) -705.63 - 1675.7 -858.6 - 1213 -548.1 -1473.2 0 -902.5 -402.96 111.884 0 30.91 -255.60 -36.29 Values* Sº (298.15 K) (J/K.mol) 28.3 109.29 50.92 123.68 112.1 72.05 132.2 9.5 51.9 290.17 175.022 152.2 245.47 292.53 198.70 AFGᵒ (298.15 K) (kJ/mol) -630.0 - 1582.3 -810.4 -1134.41 -520.38 - 1362.2 0 -815.0 -387.95 82.396 0 3.12 -229.43 -53.45