Meaning of standard Gibbs free energy: Which description best captures what ΔG° represents for a chemical reaction?

Difficulty: Easy

Correct Answer: Difference in standard Gibbs energies of products and reactants (related to Keq)

Explanation:

Introduction / Context: ΔG° is a thermodynamic state function that predicts spontaneity under standard conditions and links directly to the equilibrium constant Keq by ΔG° = −RT ln Keq. It is not a kinetic parameter and not a vague “residual energy.”

Given Data / Assumptions:

  • Standard state: 1 bar pressure, 1 M activities for solutes (idealized).
  • Temperature typically 298 K unless otherwise specified.
  • Equilibrium composition depends on Keq, which depends on ΔG°.

Concept / Approach: Gibbs free energy is a state function; ΔG° compares the standard molar Gibbs energies of products and reactants, weighted by stoichiometry. Negative ΔG° favors products (Keq > 1); positive ΔG° favors reactants (Keq < 1). It is distinct from activation energy (Ea), which governs rate.

Step-by-Step Solution: Recall definition: ΔG° = Σν G°(products) − Σν G°(reactants). Relate to equilibrium: ΔG° = −RT ln Keq. Interpretation: sign/magnitude indicate position of equilibrium under standard conditions. Thus, “difference in standard Gibbs energies” best captures the meaning.

Verification / Alternative check: Thermodynamic tables list standard Gibbs energies of formation; summation gives ΔG° and predicts Keq consistent with experiments.

Why Other Options Are Wrong: “Residual energy” is undefined; “energy required per mole regardless of conditions” ignores dependence on standard state; activation energy is kinetic, not ΔG°.

Common Pitfalls: Confusing ΔG° with ΔG (which depends on Q) or with the activation barrier; forgetting that ΔG° is condition-specific (standard state).

Final Answer: Difference in standard Gibbs energies of products and reactants (related to Keq).

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