Skip to main content
Ch.19 - Chemical Thermodynamics
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 19, Problema 63a,b

Classify each of the following reactions as one of the four possible types summarized in Table 19.3: (i) spontanous at all temperatures; (ii) not spontaneous at any temperature; (iii) spontaneous at low T but not spontaneous at high T; (iv) spontaneous at high T but not spontaneous at low T.
(a) N2(g) + 3 F2(g) → 2 NF3(g) ΔH° = -249 kJ; ΔS° = -278 J/K
(b) N2(g) + 3 Cl2(g) → 2 NCl3(g) ΔH° = 460 kJ; ΔS° = -275 J/K

Guida verificata passo dopo passo
1
Identify the Gibbs free energy equation: ΔG° = ΔH° - TΔS°. This equation helps determine the spontaneity of a reaction.
For reaction (a), N2(g) + 3 F2(g) → 2 NF3(g), note that ΔH° = -249 kJ and ΔS° = -278 J/K. Convert ΔS° to kJ by dividing by 1000, resulting in ΔS° = -0.278 kJ/K.
Substitute the values into the Gibbs free energy equation for reaction (a): ΔG° = -249 kJ - T(-0.278 kJ/K). Analyze the sign of ΔG° at different temperatures to determine spontaneity.
For reaction (b), N2(g) + 3 Cl2(g) → 2 NCl3(g), note that ΔH° = 460 kJ and ΔS° = -275 J/K. Convert ΔS° to kJ by dividing by 1000, resulting in ΔS° = -0.275 kJ/K.
Substitute the values into the Gibbs free energy equation for reaction (b): ΔG° = 460 kJ - T(-0.275 kJ/K). Analyze the sign of ΔG° at different temperatures to determine spontaneity.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Gibbs Free Energy

Gibbs Free Energy (G) is a thermodynamic potential that helps predict the spontaneity of a reaction at constant temperature and pressure. The change in Gibbs Free Energy (ΔG) is calculated using 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. A negative ΔG indicates a spontaneous reaction, while a positive ΔG suggests non-spontaneity.
Video consigliato:
Percorso guidato
01:51
Gibbs Free Energy of Reactions

Enthalpy and Entropy

Enthalpy (ΔH) is a measure of the total heat content of a system, while entropy (ΔS) quantifies the degree of disorder or randomness in a system. In chemical reactions, ΔH can be either positive (endothermic) or negative (exothermic), and ΔS can also be positive or negative depending on the change in disorder. The interplay between these two factors determines the spontaneity of a reaction across different temperature ranges.
Video consigliato:
Percorso guidato
02:46
Entropy in Thermodynamics

Temperature Dependence of Spontaneity

The spontaneity of a reaction can depend on temperature due to the relationship between enthalpy and entropy. Reactions that are exothermic (negative ΔH) and have positive entropy (positive ΔS) are spontaneous at all temperatures. Conversely, reactions that are endothermic with negative entropy are non-spontaneous at all temperatures. The temperature can shift the balance for reactions that are spontaneous at low or high temperatures, depending on the signs of ΔH and ΔS.
Video consigliato:
Percorso guidato
01:24
Kw Temperature Dependence