A single reactant can isomerize to form either product X or product Y by separate…

CHEMISTRY · Single correct · AP · Chemistry · Thermodynamics and Electrochemistry · Thermodynamics and Electrochemistry

Problem

A single reactant can isomerize to form either product X or product Y by separate one-step pathways. • Pathway to X: ΔG° = –5 kJ mol⁻¹, Eₐ = 30 kJ mol⁻¹ • Pathway to Y: ΔG° = –10 kJ mol⁻¹, Eₐ = 90 kJ mol⁻¹ A freshly prepared sample of the reactant is held at 298 K for 5 minutes. Which of the following best predicts the composition of the mixture after this time? (a) Equal amounts of X and Y, because both pathways have negative ΔG∘\Delta G^{\circ} values. (b) Mostly X, because its lower activation energy leads to a faster rate even though Y is more thermodynamically stable. (c) Mostly Y, because its more negative ΔG∘\Delta G^{\circ} makes its pathway the only spontaneous one. (d) Mostly X at first, but it will all convert to Y within 5 min5\,\text{min} because Y is lower in free energy.

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