Consider the following reaction between oxides of nitrogen: NO₂(g) + N₂O(g) → 3 NO(g) (a) Use data in Appendix C to predict how ΔG for the reaction varies with increasing temperature.

검증된 단계별 안내

Identify the reaction: NO_2(g) + N_2O(g) \(\rightarrow\) 3 NO(g)

Understand that \(\Delta\) G (Gibbs free energy change) is related to \(\Delta\) H (enthalpy change) and \(\Delta\) S (entropy change) by the equation \(\Delta\) G = \(\Delta\) H - T\(\Delta\) S, where T is the temperature in Kelvin.

Look up the standard enthalpy change (\(\Delta\) H^\(\circ\)) and standard entropy change (\(\Delta\) S^\(\circ\)) for each species involved in the reaction from Appendix C.

Calculate the \(\Delta\) H^\(\circ\)_{reaction} and \(\Delta\) S^\(\circ\)_{reaction} using the formula: \(\Delta\) H^\(\circ\)_{reaction} = \(\sum\) \(\Delta\) H^\(\circ\)_{products} - \(\sum\) \(\Delta\) H^\(\circ\)_{reactants} and \(\Delta\) S^\(\circ\)_{reaction} = \(\sum\) \(\Delta\) S^\(\circ\)_{products} - \(\sum\) \(\Delta\) S^\(\circ\)_{reactants}.

Analyze how \(\Delta\) G changes with temperature: If \(\Delta\) H^\(\circ\) and \(\Delta\) S^\(\circ\) are both positive, \(\Delta\) G will decrease with increasing temperature, making the reaction more spontaneous at higher temperatures. If \(\Delta\) H^\(\circ\) is positive and \(\Delta\) S^\(\circ\) is negative, \(\Delta\) G will increase with temperature, making the reaction less spontaneous.

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주요 개념

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Gibbs Free Energy (ΔG)

Gibbs Free Energy (ΔG) is a thermodynamic potential that measures the maximum reversible work obtainable from a thermodynamic system at constant temperature and pressure. It is a crucial concept in predicting the spontaneity of a reaction; a negative ΔG indicates a spontaneous process, while a positive ΔG suggests non-spontaneity. Understanding how ΔG changes with temperature is essential for analyzing reaction feasibility.

Temperature Dependence of ΔG

The temperature dependence of Gibbs Free Energy is described by the equation ΔG = ΔH - TΔS, where ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy. As temperature increases, the TΔS term can significantly influence ΔG, potentially making a reaction more or less favorable. This relationship is vital for predicting how ΔG varies with temperature in chemical reactions.

Entropy (ΔS)

Entropy (ΔS) is a measure of the disorder or randomness in a system. In chemical reactions, an increase in entropy typically favors spontaneity, as systems tend to evolve towards greater disorder. When analyzing the reaction between nitrogen oxides, understanding the changes in entropy can help predict how the reaction's Gibbs Free Energy will vary with temperature, influencing its spontaneity.

Consider the following reaction between oxides of nitrogen: NO2(g) + N2O(g) → 3 NO(g) (a) Use data in Appendix C to predict how ΔG for the reaction varies with increasing temperature.