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HELPPPP!!! :( The following equation represents the decomposition of a generic d

ID: 516980 • Letter: H

Question

HELPPPP!!! :(

The following equation represents the decomposition of a generic diatomic element in its standard state. 1/2X_2(g) rightarrow X(g) Assume that the standard molar Gibbs energy of formation of X(g) is 4.72 kJ- mol^-1 at 2000. K and -61.16 kJ - mol^-1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature. At 2000. K, we were given: Delta G_f = 4.72 kJ- mol^-1. What is K at that temperature? K at 2000. K = At 3000. K. we were given: Delta Gf = -61.16 kJ- mol^-1. What is K at that temperature? K at 3000. K =

Explanation / Answer

1)

delta G = 4.72 KJ/mol = 4720 J/mol

T = 2000 K

use:

delta G = -R*T*ln Kc

4720 = - 8.314*2000 * ln(Kc)

ln Kc = -0.284

Kc = 0.753

2)

T = 3000 K

delta G = -61.16 KJ/mol = -61160 J/mol

use:

delta G = -R*T*ln Kc

-61160 = - 8.314*3000* ln(Kc)

ln Kc = 2.452

Kc = 11.6