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. sume that the standard molar Gibbs energy of formation of X(g) is 5.47 kJ mo1 at 2000. K and -54.07 kJ mol1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature At 2000. K, we were given: AG 5.47 kJ mo 1 What is K at that temperature? Number K at 2000. At 3000. K, we were given : G-_ 54.07 kJ. mol-1. What is K at that temperature? Number K at 3000, K=

Explanation / Answer

1) At 2000 K

T = 2000 K

G = 5.47 KJ/mol

G = 5470 J/mol

use:

G = -R*T*ln Kc

5470 = - 8.314*2000.0* ln(Kc)

ln Kc = -0.329

Kc = 0.720

Answer: 0.720

2) At 3000 K

T = 3000 K

G = -54.07 KJ/mol

G = -54070 J/mol

use:

G = -R*T*ln Kc

-54070 = - 8.314*3000.0* ln(Kc)

ln Kc = 2.1678

Kc = 8.74

Answer: 8.74

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