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Ch.18 - Free Energy and Thermodynamics
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 18, Problema 89c

Consider this reaction occurring at 298 K: N2O(g) + NO2(g) ⇌ 3 NO(g) c. Can the reaction be made more spontaneous by an increase or decrease in temperature? If so, what temperature is required to make the reaction spontaneous under standard conditions?

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insert step 1> Determine the standard enthalpy change (\( \Delta H^\circ \)) and standard entropy change (\( \Delta S^\circ \)) for the reaction using standard thermodynamic tables.
insert step 2> Use the Gibbs free energy equation \( \Delta G^\circ = \Delta H^\circ - T \Delta S^\circ \) to find the standard Gibbs free energy change (\( \Delta G^\circ \)) at 298 K.
insert step 3> Determine if the reaction is spontaneous at 298 K by checking if \( \Delta G^\circ < 0 \).
insert step 4> To find the temperature at which the reaction becomes spontaneous, set \( \Delta G^\circ = 0 \) and solve for temperature \( T \) using the equation \( T = \frac{\Delta H^\circ}{\Delta S^\circ} \).
insert step 5> Analyze whether increasing or decreasing the temperature will make the reaction more spontaneous based on the signs of \( \Delta H^\circ \) and \( \Delta S^\circ \).

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Gibbs Free Energy

Gibbs Free Energy (G) is a thermodynamic potential that helps predict the spontaneity of a reaction at constant temperature and pressure. A reaction is spontaneous if the change in Gibbs Free Energy (ΔG) is negative. The relationship between ΔG, enthalpy (ΔH), and entropy (ΔS) is given by the equation ΔG = ΔH - TΔS, where T is the temperature in Kelvin.
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Gibbs Free Energy of Reactions

Entropy and Enthalpy

Entropy (S) is a measure of the disorder or randomness in a system, while enthalpy (H) is a measure of the total energy of a system, including internal energy and the energy required to make room for it. For a reaction to be spontaneous, the increase in entropy must outweigh the enthalpy changes, particularly at higher temperatures, where the TΔS term becomes significant in the Gibbs Free Energy equation.
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Entropy in Thermodynamics

Temperature's Effect on Spontaneity

The temperature of a system can significantly influence the spontaneity of a reaction. If a reaction has a positive ΔS (increase in entropy), increasing the temperature can make the reaction more spontaneous by lowering ΔG. Conversely, if ΔH is positive (endothermic reaction), a higher temperature may be required to achieve a negative ΔG, thus making the reaction spontaneous under standard conditions.
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Spontaneity and Temperature