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Ch.19 - Free Energy & Thermodynamics
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 19, Problema 94a

Consider this reaction occurring at 298 K: BaCO3(s) ⇌ BaO(s) + CO2(g) a. Show that the reaction is not spontaneous under standard conditions by calculating ΔG°rxn.

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insert step 1> Calculate the standard Gibbs free energy of formation (\( \Delta G_f^\circ \)) for each substance involved in the reaction: BaCO3(s), BaO(s), and CO2(g). These values can be found in a standard thermodynamic table.
insert step 2> Use the formula for the standard Gibbs free energy change of the reaction: \( \Delta G_{rxn}^\circ = \sum \Delta G_f^\circ (\text{products}) - \sum \Delta G_f^\circ (\text{reactants}) \).
insert step 3> Substitute the \( \Delta G_f^\circ \) values for BaO(s) and CO2(g) as products and BaCO3(s) as the reactant into the equation from Step 2.
insert step 4> Perform the arithmetic to find \( \Delta G_{rxn}^\circ \).
insert step 5> Interpret the result: If \( \Delta G_{rxn}^\circ > 0 \), the reaction is non-spontaneous under standard conditions.

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Gibbs Free Energy (ΔG)

Gibbs Free Energy is a thermodynamic potential that helps predict the spontaneity of a reaction. A negative ΔG indicates that a reaction can occur spontaneously, while a positive ΔG suggests non-spontaneity. The standard Gibbs free energy change (ΔGrxn °) is calculated under standard conditions (1 atm, 298 K) and is essential for determining the favorability of the reaction.
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Gibbs Free Energy of Reactions

Standard State Conditions

Standard state conditions refer to a set of specific conditions used to measure the properties of substances, typically at 1 bar (or 1 atm) pressure and a specified temperature, usually 298 K. These conditions provide a consistent basis for comparing thermodynamic data, such as enthalpy, entropy, and Gibbs free energy, which are crucial for calculating ΔGrxn °.
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Standard Reduction Potentials

Equilibrium Constant (K)

The equilibrium constant (K) is a dimensionless value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given reaction. It is related to the standard Gibbs free energy change by the equation ΔGrxn ° = -RT ln(K). Understanding K helps in assessing the position of equilibrium and the spontaneity of the reaction under standard conditions.
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Equilibrium Constant K
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