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. X Assume that the standard molar Gibbs energy of formation of X(g) is 5.42 kJ.mol at 2000. K and -65.15 kJ-mol1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature At 2000. K, we were given. AG,-5.42 kJ-mol-1. What is K at that temperature? Number K at 2000. At 3000. K, we were given: G,--65. 15 kJ-mol-1. What is K at that temperature? Number K at 3000. K- I

Explanation / Answer

1)

T = 2000 K

G = 5.42 KJ/mol

G = 5420 J/mol

use:

G = -R*T*ln Kc

5420 = - 8.314*2000.0* ln(Kc)

ln Kc = -0.326

Kc = 0.722

Answer: 0.722

2)

T = 3000 K

G = -65.15 KJ/mol

G = -65150 J/mol

use:

G = -R*T*ln Kc

-65150 = - 8.314*3000.0* ln(Kc)

ln Kc = 2.6121

Kc = 13.6

Answer: 13.6

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