The following equation represents the decomposition of a generic diatomic elemen

Question

The following equation represents the decomposition of a generic diatomic element in its standard state. Assume that the standard molar Gibbs energy of formation of X(g) is 5.43 kJ mol at 2000. K and -54.49 kJ mol at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature At 2000. K, we were given: AG-5.43 kJ mol 1. What is K at that temperature? Number Kalt 2000, K= At 3000. K, we were given. AG =-54.49 kJ-mor 1 What is Kat that temperature? Number K at 3000. KO

Explanation / Answer

1) At 2000 K

T = 2000 K

G = 5.43 KJ/mol

G = 5430 J/mol

use:

G = -R*T*ln Kc

5430 = - 8.314*2000.0* ln(Kc)

ln Kc = -0.3266

Kc = 0.721

Answer: 0.721

2) At 3000 K

T = 3000 K

G = -54.49 KJ/mol

G = -54490 J/mol

use:

G = -R*T*ln Kc

-54490 = - 8.314*3000.0* ln(Kc)

ln Kc = 2.1847

Kc = 8.89

Answer: 8.89

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