Confused about Free Energy relation to Pressure & Concentration

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SUMMARY

The discussion clarifies the relationship between free energy, pressure, and concentration in chemical reactions. The equation \(\Delta G = \Delta G^{\circ} + RT \ln(Q)\) is applicable using either partial pressures or concentrations for the reaction quotient \(Q\). The user references the Nernst Equation and the relationship \(K_p = K_c(RT)^{\Delta n}\) to illustrate that both forms of \(Q\) yield consistent results. This understanding is crucial for applying thermodynamic principles in chemical equilibria.

PREREQUISITES
  • Understanding of Gibbs free energy and its equations
  • Familiarity with the Nernst Equation in electrochemistry
  • Knowledge of reaction quotients and equilibrium constants
  • Basic concepts of partial pressures and concentrations in chemistry
NEXT STEPS
  • Study the derivation and applications of the Nernst Equation
  • Explore the relationship between \(K_p\) and \(K_c\) in detail
  • Learn about the implications of using partial pressures versus concentrations in thermodynamics
  • Investigate the role of reaction quotients in predicting chemical equilibrium
USEFUL FOR

Chemistry students, particularly those studying thermodynamics and electrochemistry, as well as educators looking to clarify concepts related to free energy and reaction equilibria.

breez
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I'm not sure whether this belongs in the chemistry section, but since it concerns free energy, I decided to post it here.

My chemistry text, Zumdhal, says (without proof, I am self-studying a first year college-level chem course) that \Delta G = \Delta G^{\circ} + RTln(Q), where Q is the reaction quotient in terms of partial pressures.

Later, when deriving the Nernst Equation, the text uses this previous identity, but in further example problems, partial pressures are not used for the reaction quotient, but rather concentrations.

I am extremely confused on this respect since K_p = K_c(RT)^{\Delta n}, where n is the difference in coefficients of reactants from products in the balanced reaction.

So how can

\Delta G^{\circ} + RTln(Q_p) = \Delta G^{\circ} + RTln(Q_c) ??
 
Last edited:
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I guess I answered my own question: http://www.nyu.edu/classes/tuckerman/honors.chem/lectures/lecture_19/lecture_19.html

That took me a while to dig up, and its explanations mathematically show, using reference points in the mass-action expression, that this same general relationship holds for the free energy identity posted above.

Also, this means that one can use either partial pressures or concentrations in the Nernst equation.
 
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