A chemist is evaluating three independent redox reactions under standard conditions…

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

Problem

A chemist is evaluating three independent redox reactions under standard conditions at 298 K. The measured standard free-energy changes are listed in the table. Reaction I ΔG° = −45 kJ mol⁻¹ Reaction II ΔG° = +12 kJ mol⁻¹ Reaction III ΔG° = −2.3 kJ mol⁻¹ (1) Rank the equilibrium constants for the three reactions from largest to smallest. Provide a clear justification that connects the numerical values of ΔG° to the relative magnitudes of K without using precise calculations. (2) Identify which reaction will have the equilibrium mixture containing at least 99 % products. Support your choice with quantitative reasoning that includes an appropriate threshold for K. (3) For Reaction II, the chemist proposes coupling it with Reaction I so that the overall process becomes thermodynamically favorable. Predict the sign of ΔG° for the coupled process and describe, in terms of the individual K values, how the overall equilibrium constant compares with 1.

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