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Ch.18 - Free Energy and Thermodynamics
Chapter 18, Problem 68

Calculate ΔG°rxn for the reaction: CaCO3(s) → CaO(s) + CO2(g). Use the following reactions and given ΔG°rxn values: Ca(s) + CO2(g) + 1/2 O2(g) → CaCO3(s) ΔG°rxn = -734.4 kJ, 2 Ca(s) + O2(g) → 2 CaO(s) ΔG°rxn = -1206.6 kJ.

Verified step by step guidance
1
Identify the target reaction: CaCO3(s) → CaO(s) + CO2(g).
Recognize that you need to manipulate the given reactions to derive the target reaction.
Reverse the first given reaction: CaCO3(s) → Ca(s) + CO2(g) + 1/2 O2(g), which changes the sign of ΔG°rxn to +734.4 kJ.
Divide the second given reaction by 2 to match the stoichiometry of the target reaction: Ca(s) + 1/2 O2(g) → CaO(s), which changes ΔG°rxn to -603.3 kJ.
Add the modified reactions together to cancel out intermediate species and obtain the target reaction, then sum the ΔG°rxn values to find ΔG°rxn for the target reaction.