The equation represents the decomposition of a generic diatomic element in its standard state. 1 2 X 2 ( g ) ⟶ X ( g ) Assume that the standard molar Gibbs energy of formation of X(g) is 5.41 kJ⋅mol − 1 at 2000. K and − 52.48 kJ⋅mol − 1 at 3000. K. Determine the value of K (the thermodynamic equilibrium constant) at each temperature. K at 2000. K = K at 3000. K =

Explanation:

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In this case, in terms of the Gibbs free energy of the given reaction, the equilibrium constant is computed as shown below:

In such a way, since the given Gibbs correspond to formation of X, they will equal the Gibbs free energy of those reactions. Thus, at each temperature we obtain:

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